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{{Short description|Transistor that uses both electrons and holes as charge carriers}} {{Redirect-multi|2|BJT|Junction transistor}} {{Use American English|date=January 2025}} {{Use mdy dates|date=January 2025}} {{Infobox electronic component | name = Bipolar junction transistor | image = Transistorer (cropped).jpg | caption = Typical individual BJT packages. From left to right: [[SOT-23]], [[TO-92]], [[TO-126]], [[TO-3]] | type = Active | inventor = [[William Shockley]] | invention_Year = 1948 | pins = Base, collector, and emitter | symbol = [[File:NPN AND PNP BJT SYMBOLS.png|180px]] }} [[File:BipolarTransistor3Dmodel.png|thumb|upright|alt=box with 3 wires, one with big and silicon chip - others connect to chip with wires|3D model of a TO-92 package, commonly used for small bipolar transistors]] A '''bipolar junction transistor''' ('''BJT''') is a type of [[transistor]] that uses both [[electron]]s and [[electron hole]]s as [[charge carrier]]s. In contrast, a unipolar transistor, such as a [[field-effect transistor]] (FET), uses only one kind of charge carrier. A bipolar transistor allows a small [[Electric current|current]] injected at one of its [[Terminal (electronics)|terminals]] to control a much larger current between the remaining two terminals, making the device capable of [[Amplifier|amplification]] or [[Electronic switch|switching]]. BJTs use two [[pân junction]]s between two [[semiconductor]] types, n-type and p-type, which are regions in a single [[crystal]] of material. The junctions can be made in several different ways, such as changing the [[Doping (semiconductor)|doping]] of the semiconductor material as it is grown, by depositing metal pellets to form alloy junctions, or by such methods as diffusion of n-type and p-type doping substances into the crystal. The superior predictability and performance of junction transistors quickly displaced the original [[point-contact transistor]]. Diffused transistors, along with other components, are elements of [[integrated circuit]]s for analog and digital functions. Hundreds of bipolar junction transistors can be made in one circuit at a very low cost. Bipolar transistor integrated circuits were the main active devices of a generation of [[Mainframe computer|mainframe]] and [[minicomputer]]s, but most computer systems now use complementary metalâoxideâsemiconductor ([[CMOS]]) integrated circuits relying on the field-effect transistor (FET). Bipolar transistors are still used for amplification of signals, switching, and in [[mixed-signal integrated circuit]]s using [[BiCMOS]]. Specialized types are used for high voltage and high current switches, or for [[Radio frequency|radio-frequency]] (RF) amplifiers. == Current direction conventions == By convention, the direction of current on diagrams is shown as the direction in which a positive charge would move. This is called ''conventional current''. However, in actuality, current in [[metal]] conductors is {{Efn|Some metals, such as [[Aluminium|aluminum]] have significant hole bands.<ref>{{cite book |last1=Ashcroft |last2=Mermin |title=Solid State Physics |date=1976 |publisher=Holt, Rinehart, and Winston |isbn=978-0030839931 |pages=[https://archive.org/details/solidstatephysic00ashc/page/299 299â302] |edition=1st |url=https://archive.org/details/solidstatephysic00ashc/page/299 }}</ref>}} due to the flow of electrons. Because electrons carry a negative charge, they move in the direction opposite to conventional current. On the other hand, inside a bipolar transistor, currents can be composed of both positively charged holes and negatively charged electrons. In this article, current arrows are shown in the conventional direction, but labels for the movement of holes and electrons show their actual direction inside the transistor. === Arrow direction === The arrow on the symbol for bipolar transistors indicates the pân junction between base and emitter and points in the direction in which [[conventional current]] travels. == Function == {{Technical|section|date=July 2012}} BJTs exist as PNP and NPN types, based on the doping types of the three main terminal regions. An NPN transistor comprises two semiconductor junctions that share a thin p-doped region, and a PNP transistor comprises two semiconductor junctions that share a thin n-doped region. N-type means doped with [[Impurity|impurities]] (such as [[phosphorus]] or [[arsenic]]) that provide mobile electrons, while p-type means doped with impurities (such as [[boron]]) that provide holes that readily accept electrons. [[File:NPN BJT Basic Operation (Active) jP.svg|thumb|center|NPN BJT with forward-biased BâE junction and reverse-biased BâC junction]] Charge flow in a BJT is due to [[diffusion]] of [[Charge carriers in semiconductors|charge carriers]] (electrons and holes) across a junction between two regions of different charge carrier concentration. The regions of a BJT are called ''emitter'', ''base'', and ''collector''.{{efn|See [[Point-contact transistor]] for the historical origin of these names.}} A discrete transistor has three [[Lead (electronics)|leads]] for connection to these regions. Typically, the emitter region is heavily doped compared to the other two layers, and the collector is doped more lightly (typically ten times lighter<ref name="hu">{{cite book |author=Chenming Calvin Hu |url=http://people.eecs.berkeley.edu/~hu/Book-Chapters-and-Lecture-Slides-download.html |title=Modern Semiconductor Devices for Integrated Circuits |date=2010 }}</ref>) than the base. By design, most of the BJT collector current is due to the flow of charge carriers injected from a heavily doped emitter into the base where they are [[minority carrier]]s (electrons in NPNs, holes in PNPs) that diffuse toward the collector, so BJTs are classified as ''minority-carrier devices''. In typical operation, the baseâemitter junction is [[pân junction#Forward bias|forward biased]], which means that the p-doped side of the junction is at a more positive potential than the n-doped side, and the baseâcollector junction is [[pân junction#Reverse bias|reverse biased]]. When forward bias is applied to the baseâemitter junction, the equilibrium between the thermally generated carriers and the repelling electric field of the emitter [[depletion region]] is disturbed. This allows thermally excited carriers (electrons in NPNs, holes in PNPs) to inject from the emitter into the base region. These carriers create a [[diffusion current]] through the base from the region of high concentration near the emitter toward the region of low concentration near the collector. To minimize the fraction of carriers that [[Carrier generation and recombination|recombine]] before reaching the collectorâbase junction, the transistor's base region must be thin enough that carriers can diffuse across it in much less time than the semiconductor's minority-carrier lifetime. Having a lightly doped base ensures recombination rates are low. In particular, the thickness of the base must be much less than the [[Fick's law#Example solution in one dimension: diffusion length|diffusion length]] of the carriers. The collectorâbase junction is reverse-biased, and so negligible carrier injection occurs from the collector to the base, but carriers that are injected into the base from the emitter, and diffuse to reach the collectorâbase depletion region, are swept into the collector by the electric field in the depletion region. The thin ''shared'' base and asymmetric collectorâemitter doping are what differentiates a bipolar transistor from two ''separate'' diodes connected in series. === Voltage, current, and charge control === The collectorâemitter current can be viewed as being controlled by the baseâemitter current (current control), or by the baseâemitter voltage (voltage control). These views are related by the currentâvoltage relation of the baseâemitter junction, which is the usual exponential currentâvoltage curve of a pân junction (diode).<ref name="Horowitz 1989">{{cite book |last1=Horowitz |first1=Paul |author-link1=Paul Horowitz |last2=Hill |first2=Winfield |author-link2=Winfield Hill |title=The Art of Electronics |edition=2nd |date=1989 |publisher=Cambridge University Press |isbn=978-0-521-37095-0 |url=https://books.google.com/books?id=bkOMDgwFA28C |access-date=June 22, 2023 }}</ref> The explanation for collector current is the concentration gradient of minority carriers in the base region.<ref name="Horowitz 1989" /><ref>{{cite book |title=Semiconductor Device Physics and Simulation |first1=Juin Jei |last1=Liou |first2=Jiann S. |last2=Yuan |publisher=Springer |date=1998 |isbn=978-0-306-45724-1 |url=https://books.google.com/books?id=y343FTN1TU0C&q=charge-controlled+bjt+physics&pg=PA166 }}</ref><ref>{{cite book | title = Transistor Manual |author=General Electric |edition=6th |date=1962 |page=12 |bibcode = 1964trma.book.....C }} "If the principle of space charge neutrality is used in the analysis of the transistor, it is evident that the collector current is controlled by means of the positive charge (hole concentration) in the base region. ... When a transistor is used at higher frequencies, the fundamental limitation is the time it takes the carriers to diffuse across the base region..." (same in 4th and 5th editions).</ref> Due to [[low-level injection]] (in which there are many fewer excess carriers than normal majority carriers) the [[Ambipolar diffusion|ambipolar transport]] rates (in which the excess majority and minority carriers flow at the same rate) is in effect determined by the excess minority carriers. Detailed [[transistor models]] of transistor action, such as the [[GummelâPoon model]], account for the distribution of this charge explicitly to explain transistor behavior more exactly.<ref>{{cite book |title=Semiconductor Device Modeling with Spice |first1=Paolo |last1=Antognetti |first2=Giuseppe |last2=Massobrio |publisher=McGrawâHill Professional |date=1993 |isbn=978-0-07-134955-0 |url=https://books.google.com/books?id=5IBYU9xrGaIC&q=gummel-poon+charge+model&pg=PA96 }}</ref> The charge-control view easily handles [[phototransistor]]s, where minority carriers in the base region are created by the absorption of [[photon]]s, and handles the dynamics of turn-off, or recovery time, which depends on charge in the base region recombining. However, because base charge is not a signal that is visible at the terminals, the current- and voltage-control views are generally used in circuit design and analysis. In [[analog circuit]] design, the current-control view is sometimes used because it is approximately linear. That is, the collector current is approximately <math>\beta_\text{F}</math> times the base current. Some basic circuits can be designed by assuming that the baseâemitter voltage is approximately constant and that collector current is β times the base current. However, to accurately and reliably design production BJT circuits, the voltage-control model (e.g. the [[EbersâMoll model]]) is required.<ref name="Horowitz 1989" /> The voltage-control model requires an exponential function to be taken into account, but when it is linearized such that the transistor can be modeled as a transconductance, as in the EbersâMoll model, design for circuits such as differential amplifiers again becomes a mostly linear problem, so the voltage-control view is often preferred. For [[translinear circuit]]s, in which the exponential IâV curve is key to the operation, the transistors are usually modeled as voltage-controlled current sources whose [[transconductance]] is proportional to their collector current. In general, transistor-level circuit analysis is performed using [[SPICE]] or a comparable analog-circuit simulator, so mathematical model complexity is usually not of much concern to the designer, but a simplified view of the characteristics allows designs to be created following a logical process. === Turn-on, turn-off, and storage delay === {{Main|Baker clamp}} Bipolar transistors, and particularly power transistors, have long base-storage times when they are driven into saturation; the base storage limits turn-off time in switching applications. A [[Baker clamp]] can prevent the transistor from heavily saturating, which reduces the amount of charge stored in the base and thus improves switching time.<!-- at a cost of increased V<sub>CE,sat</sub> --> === Transistor characteristics: alpha (''Îą'') and beta (''β'') <span class="anchor" id="Alpha"></span><span class="anchor" id="Beta"></span><span class="anchor" id="AlphaBeta"></span> === The proportion of carriers able to cross the base and reach the collector is a measure of the BJT efficiency. The heavy doping of the emitter region and light doping of the base region causes many more electrons to be injected from the emitter into the base than holes to be injected from the base into the emitter. A thin and lightly doped base region means that most of the minority carriers that are injected into the base will diffuse to the collector and not recombine. ==== Common-emitter current gain ==== The ''[[common-emitter]] current gain'' is represented by {{mvar|β}}<sub>F</sub> or the [[Two-port network#h-parameters|{{mvar|h}}-parameter]] {{mvar|h}}<sub>FE</sub>; it is approximately the ratio of the collector's direct current to the base's direct current in forward-active region. (The F subscript is used to indicate the forward-active mode of operation.) It is typically greater than 50 for small-signal transistors, but can be smaller in transistors designed for high-power applications. Both injection efficiency and recombination in the base reduce the BJT gain. ==== Common-base current gain ==== Another useful characteristic is the ''[[common-base]] current gain'', {{mvar|Îą}}<sub>F</sub>. The common-base current gain is approximately the gain of current from emitter to collector in the forward-active region. This ratio usually has a value close to unity; between 0.980 and 0.998. It is less than unity due to recombination of charge carriers as they cross the base region. Alpha and beta are related by the following identities: : <math>\begin{align} \alpha_\text{F} &= \frac{I_\text{C}}{I_\text{E}}, & \beta_\text{F} &= \frac{I_\text{C}}{I_\text{B}}, \\ \alpha_\text{F} &= \frac{\beta_\text{F}}{1 + \beta_\text{F}} & \iff \beta_\text{F} &= \frac{\alpha_\text{F}}{1 - \alpha_\text{F}}. \end{align}</math> Beta is a convenient figure of merit to describe the performance of a bipolar transistor, but is not a fundamental physical property of the device. Bipolar transistors can be considered voltage-controlled devices (fundamentally the collector current is controlled by the baseâemitter voltage; the base current could be considered a defect and is controlled by the characteristics of the baseâemitter junction and recombination in the base). In many designs beta is assumed high enough so that base current has a negligible effect on the circuit. In some circuits (generally switching circuits), sufficient base current is supplied so that even the lowest beta value a particular device may have will still allow the required collector current to flow. == Structure == [[File:NPN BJT (Planar) Cross-section.svg|frame|left|Simplified cross section of a planar ''NPN'' bipolar junction transistor]] BJTs consists of three differently doped semiconductor regions: the ''emitter'' region, the ''base'' region and the ''collector'' region. These regions are, respectively, ''p'' type, ''n'' type and ''p'' type in a PNP transistor, and ''n'' type, ''p'' type and ''n'' type in an NPN transistor. Each semiconductor region is connected to a terminal, appropriately labeled: ''emitter'' (E), ''base'' (B) and ''collector'' (C). The ''base'' is physically located between the ''emitter'' and the ''collector'' and is made from lightly doped, high-resistivity material. The collector surrounds the emitter region, making it almost impossible for the electrons injected into the base region to escape without being collected, thus making the resulting value of Îą very close to unity, and so, giving the transistor a large β. A cross-section view of a BJT indicates that the collectorâbase junction has a much larger area than the emitterâbase junction. The bipolar junction transistor, unlike other transistors, is usually not a symmetrical device. This means that interchanging the collector and the emitter makes the transistor leave the forward active mode and start to operate in reverse mode. Because the transistor's internal structure is usually optimized for forward-mode operation, interchanging the collector and the emitter makes the values of Îą and β in reverse operation much smaller than those in forward operation; often the Îą of the reverse mode is lower than 0.5. The lack of symmetry is primarily due to the doping ratios of the emitter and the collector. The emitter is heavily doped, while the collector is lightly doped, allowing a large reverse bias voltage to be applied before the collectorâbase junction breaks down. The collectorâbase junction is reverse biased in normal operation. The reason the emitter is heavily doped is to increase the emitter injection efficiency: the ratio of carriers injected by the emitter to those injected by the base. For high current gain, most of the carriers injected into the emitterâbase junction must come from the emitter. [[File:IPRS BANEASA 2N2222.jpg|thumb|Die of a 2N2222 NPN transistor: the NPN materials are made in layers with the collector at the bottom. Bond wires connect metalization on the base to the left lead, and emitter to the right. The collector is connected to the can with a third external lead..]] The low-performance "lateral" bipolar transistors sometimes used in bipolar and MOS integrated circuits are sometimes designed symmetrically, that is, with no difference between forward and backward operation. Small changes in the voltage applied across the baseâemitter terminals cause the current between the ''emitter'' and the ''collector'' to change significantly. This effect can be used to amplify the input voltage or current. BJTs can be thought of as voltage-controlled [[current source]]s, but are more simply characterized as current-controlled current sources, or current amplifiers, due to the low impedance at the base. Early transistors were made from [[germanium]] but most modern BJTs are made from [[silicon]]. A significant minority are also now made from [[gallium arsenide]], especially for very high speed applications (see HBT, below). The [[heterojunction bipolar transistor]] (HBT) is an improvement of the BJT that can handle signals of very high frequencies up to several hundred [[Hertz|GHz]]. It is common in modern ultrafast circuits, mostly RF systems.<ref>{{cite book |editor1-first=D.V. |editor1-last=Morgan |editor2-first=Robin H. |editor2-last=Williams |title=Physics and Technology of Heterojunction Devices |date=1991 |publisher=Institution of Electrical Engineers (Peter Peregrinus Ltd.) |location=London |isbn=978-0-86341-204-2 |url=https://books.google.com/books?id=C98iH7UDtzwC&q=%22SIGe+heterojunction%22&pg=PA210 }}</ref><ref name="Ashburn">{{cite book |last=Ashburn |first=Peter |title=SiGe Heterojunction Bipolar Transistors |date=2003 |pages=Chapter 10 |publisher=Wiley |location=New York |isbn=978-0-470-84838-8 |url=http://worldcat.org/isbn/0470848383 |no-pp=true }}</ref> [[File:Diagrama de Transistor NPN.svg|thumb|upright=0.5|Symbol for NPN bipolar transistor with current flow direction]] Two commonly used HBTs are siliconâgermanium and aluminum gallium arsenide, though a wide variety of semiconductors may be used for the HBT structure. HBT structures are usually grown by [[epitaxy]] techniques like [[Metalorganic vapour phase epitaxy|MOCVD]] and [[Molecular beam epitaxy|MBE]]. == Regions of operation == <!-- "Emitter-coupled logic" links here. --> {| class="wikitable floatright" |- ! rowspan=2 | Junction <br />type ! rowspan=2 | Applied <br />voltages ! colspan=2 | Junction bias ! rowspan=2 | Mode |- ! BâE ! BâC |- | rowspan=4 | NPN | E < B < C || Forward || Reverse || Forward-active |- | E < B > C || Forward || Forward || Saturation |- | E > B < C || Reverse || Reverse || Cut-off |- | E > B > C || Reverse || Forward || Reverse-active |- | rowspan=4 | PNP | E < B < C || Reverse || Forward || Reverse-active |- | E < B > C || Reverse || Reverse || Cut-off |- | E > B < C || Forward || Forward || Saturation |- | E > B > C || Forward || Reverse || Forward-active |} Bipolar transistors have four distinct regions of operation, defined by BJT junction biases:<ref>{{cite web |author=JIMBLOM |title=Transistors: Operation Modes |url=https://learn.sparkfun.com/tutorials/transistors/operation-modes |publisher=[[SparkFun Electronics]] |access-date=June 22, 2023 }}</ref><ref>{{cite web |title=Lecture 18 Outline: The Bipolar Junction Transistor (II) â Regimes of Operation |url=http://web.mit.edu/6.012/www/SP07-L18.pdf |date=Spring 2007 |access-date=June 22, 2023 }}</ref> ; Forward-active (or simply ''active'') : The baseâemitter junction is forward biased and the baseâcollector junction is reverse biased. Most bipolar transistors are designed to afford the greatest common-emitter current gain, β<sub>F</sub>, in forward-active mode. If this is the case, the collectorâemitter current is approximately [[Proportionality (mathematics)|proportional]] to the base current, but many times larger, for small base current variations. ; Reverse-active (or ''inverse-active'' or ''inverted'') : By reversing the biasing conditions of the forward-active region, a bipolar transistor goes into reverse-active mode. In this mode, the emitter and collector regions switch roles. Because most BJTs are designed to maximize current gain in forward-active mode, the β<sub>F</sub> in inverted mode is several times smaller (2â3 times for the ordinary germanium transistor). This transistor mode is seldom used, usually being considered only for failsafe conditions and some types of [[Transistorâtransistor logic#Implementation|bipolar logic]]. The reverse bias breakdown voltage to the base may be an order of magnitude lower in this region. ; Saturation : With both junctions forward biased, a BJT is in saturation mode and facilitates high current conduction from the emitter to the collector (or the other direction in the case of NPN, with negatively charged carriers flowing from emitter to collector). This mode corresponds to a logical "on", or a closed switch. ; Cut-off : In cut-off, biasing conditions opposite of saturation (both junctions reverse biased) are present. There is very little current, which corresponds to a logical "off", or an open switch. {{Multiple image | caption_align = center | header_align = center | align = right | image1 = Input characteristic common-base silicon transistor-en.svg | width1 = 130 | alt1 = | caption1 = Input characteristics | image2 = Output characteristic common-base silicon transistor-en.svg | width2 = 170 | alt2 = | caption2 = Output characteristics | footer = Input and output characteristics for a common-base silicon transistor amplifier. }} Although these regions are well defined for sufficiently large applied voltage, they overlap somewhat for small (less than a few hundred millivolts) biases. For example, in the typical grounded-emitter configuration of an NPN BJT used as a pulldown switch in digital logic, the "off" state never involves a reverse-biased junction because the base voltage never goes below ground; nevertheless the forward bias is close enough to zero that essentially no current flows, so this end of the forward active region can be regarded as the cutoff region. === Active-mode transistors in circuits === [[File:NPN BJT - Structure & circuit.svg|frame|right|Structure and use of NPN transistor; arrow according to schematic]] The diagram shows a schematic representation of an NPN transistor connected to two voltage sources. (The same description applies to a PNP transistor with reversed directions of current flow and applied voltage.) This applied voltage causes the lower pân junction to become forward biased, allowing a flow of electrons from the emitter into the base. In active mode, the electric field existing between base and collector (caused by ''V''<sub>CE</sub>) will cause the majority of these electrons to cross the upper pân junction into the collector to form the collector current ''I''<sub>C</sub>. The remainder of the electrons recombine with holes, the majority carriers in the base, making a current through the base connection to form the base current, ''I''<sub>B</sub>. As shown in the diagram, the emitter current, ''I''<sub>E</sub>, is the total transistor current, which is the sum of the other terminal currents, (i.e. ''I''<sub>E</sub> = ''I''<sub>B</sub> + ''I''<sub>C</sub>). In the diagram, the arrows representing current point in the direction of conventional current â the flow of electrons is in the opposite direction of the arrows because electrons carry negative [[electric charge]]. In active mode, the ratio of the collector current to the base current is called the ''DC current gain''. This gain is usually 100 or more, but robust circuit designs do not depend on the exact value (for example see [[op-amp]]). The value of this gain for DC signals is referred to as <math>h_{\text{FE}}</math>, and the value of this gain for small signals is referred to as <math>h_{\text{fe}}</math>. That is, when a small change in the currents occurs, and sufficient time has passed for the new condition to reach a steady state <math>h_{\text{fe}}</math> is the ratio of the change in collector current to the change in base current. The symbol <math>\beta</math> is used for both <math>h_{\text{FE}}</math> and <math>h_{\text{fe}}</math>.<ref name="Horowitz 1989" />{{Rp|62â66}} The emitter current is related to <math>V_{\text{BE}}</math> exponentially. At [[room temperature]], an increase in <math>V_{\text{BE}}</math> by approximately 60 mV increases the emitter current by a factor of 10. Because the base current is approximately proportional to the collector and emitter currents, they vary in the same way. == History == The bipolar point-contact transistor was invented in December 1947<ref>{{cite web |url=http://www.computerhistory.org/semiconductor/timeline/1947-invention.html |title=1947: Invention of the Point-Contact Transistor |publisher=[[Computer History Museum]] |access-date=August 10, 2016 }}</ref> at the [[Bell Telephone Laboratories]] by [[John Bardeen]] and [[Walter Brattain]] under the direction of [[William Shockley]]. The junction version known as the bipolar junction transistor (BJT), invented by Shockley in 1948,<ref>{{cite web |url=http://www.computerhistory.org/semiconductor/timeline/1948-conception.html |title=1948: Conception of the Junction Transistor |publisher=Computer History Museum |access-date=August 10, 2016 }}</ref> was for three decades the device of choice in the design of discrete and [[integrated circuits]]. Nowadays, the use of the BJT has declined in favor of CMOS technology in the design of digital integrated circuits. The incidental low performance BJTs inherent in CMOS ICs, however, are often utilized as [[bandgap voltage reference]], [[silicon bandgap temperature sensor]] and to handle [[electrostatic discharge]]. === Germanium transistors === The germanium transistor was more common in the 1950s and 1960s but has a greater tendency to exhibit [[thermal runaway]]. Since [[Diode#Forward bias|germanium p-n junctions have a lower forward bias]] than silicon, germanium transistors turn on at lower voltage. === Early manufacturing techniques === Various methods of manufacturing bipolar transistors were developed.<ref>[http://hm-treasury.gov.uk/media/B/C/queen_mary_ip_research_institute_p5_043_762kb.pdf Third case study â the solid state advent] {{webarchive |url=https://web.archive.org/web/20070927032750/http://hm-treasury.gov.uk/media/B/C/queen_mary_ip_research_institute_p5_043_762kb.pdf |date=September 27, 2007 }} (PDF)</ref> * [[Point-contact transistor]] â first transistor ever constructed (December 1947), a bipolar transistor, limited commercial use due to high cost and noise. ** [[Tetrode transistor#Early tetrode transistors|Tetrode point-contact transistor]] â Point-contact transistor having two emitters. It became obsolete in the middle 1950s. * Junction transistors ** [[Grown-junction transistor]]{{spaced ndash}} first bipolar ''junction'' transistor made.<ref>{{cite web |url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_M1752.htm |title=Transistor Museum, Historic Transistor Photo Gallery, Bell Labs Type M1752 }}</ref> Invented by William Shockley at [[Bell Labs]] on June 23, 1948.<ref>{{cite book |last=Morris |first=Peter Robin |title=A History of the World Semiconductor Industry |series=IEE History of Technology Series 12 |date=1990 |publisher=Peter Peregrinus Ltd. |location=London |isbn=978-0-86341-227-1 |page=29 |chapter=4.2 }}</ref> Patent filed on June 26, 1948. ** [[Alloy-junction transistor]]{{spaced ndash}} emitter and collector alloy beads fused to base. Developed at [[General Electric]] and [[RCA]]<ref>{{cite web |url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_TA153.htm |title=Transistor Museum Photo Gallery RCA TA153 |access-date=August 10, 2016}}</ref> in 1951. *** [[Micro-alloy transistor]] (MAT){{spaced ndash}} high-speed type of alloy junction transistor. Developed at [[Philco]].<ref>{{cite book |title=High Speed Switching Transistor Handbook |date=1963 |publisher=Motorola |edition=2nd |page=17}}[https://groups.google.com/group/sci.electronics.components/tree/browse_frm/month/2003-04/c97c04dc783ab61e?rnum=21&_done=%2Fgroup%2Fsci.electronics.components%2Fbrowse_frm%2Fmonth%2F2003-04%3F].</ref> *** [[Micro-alloy diffused transistor]] (MADT){{spaced ndash}} high-speed type of alloy junction transistor, speedier than MAT, a [[diffused-base transistor]]. Developed at Philco. *** [[Post-alloy diffused transistor]] (PADT){{spaced ndash}} high-speed type of alloy junction transistor, speedier than MAT, a diffused-base transistor. Developed at [[Philips]]. ** [[Tetrode transistor]]{{spaced ndash}} high-speed variant of grown-junction transistor<ref>[http://semiconductormuseum.com/PhotoGallery/PhotoGallery_3N22.htm Transistor Museum, Historic Transistor Photo Gallery, Western Electric 3N22].</ref> or alloy junction transistor<ref>{{cite journal|doi=10.1109/T-ED.1957.14192|title=The tetrode power transistor|journal=IRE Transactions on Electron Devices|volume=4|issue=1|pages=1â5|date=1957|last=Maupin|first=J.T.|bibcode=1957ITED....4....1M|s2cid=51668235}}</ref> with two connections to base. ** [[Surface-barrier transistor]]{{spaced ndash}} high-speed metal-barrier junction transistor. Developed at Philco<ref>{{cite web |url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_A01.htm |title=Transistor Museum Photo Gallery Philco A01 Germanium Surface Barrier Transistor |access-date=August 10, 2016 }}</ref> in 1953.<ref>{{cite web |url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_SurfaceBarrier.htm |title=Transistor Museum Photo Gallery Germanium Surface Barrier Transistor |access-date=August 10, 2016 }}</ref> ** [[Drift-field transistor]]{{spaced ndash}} high-speed bipolar junction transistor. Invented by [[Herbert Kroemer]]<ref>{{cite journal |doi=10.1109/16.960370 |title=Herb's bipolar transistors |journal=IEEE Transactions on Electron Devices |volume=48 |issue=11 |pages=2473â2476 |date=2001 |last1=Brar |first1=B. |last2=Sullivan |first2=G.J. |last3=Asbeck |first3=P.M. |bibcode=2001ITED...48.2473B }}</ref><ref>{{cite journal |doi=10.1109/T-ED.1967.15902 |title=Influence of mobility and lifetime variations on drift-field effects in silicon-junction devices |journal=IEEE Transactions on Electron Devices |volume=14 |issue=2 |pages=75â81 |date=1967 |last1=Bullis |first1=W.M. |last2=Runyan |first2=W.R. |bibcode=1967ITED...14...75B }}</ref> at the Central Bureau of Telecommunications Technology of the German Postal Service, in 1953. ** [[Spacistor]]{{spaced ndash}} around 1957. ** [[Diffusion transistor]]{{spaced ndash}} modern type bipolar junction transistor. Prototypes<ref>{{cite web |url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_Prototype_DiffusedBase.htm |title=Transistor Museum Photo Gallery Bell Labs Prototype Diffused Base Germanium Silicon Transistor |access-date=August 10, 2016}}</ref> developed at Bell Labs in 1954. *** [[Diffused-base transistor]]{{spaced ndash}} first implementation of diffusion transistor. *** [[Mesa transistor]]{{spaced ndash}} developed at [[Texas Instruments]] in 1957. *** [[Planar transistor]]{{spaced ndash}} the bipolar junction transistor that made mass-produced monolithic integrated circuits possible. Developed by [[Jean Hoerni]]<ref>{{cite web |title=Transistor Museum Photo Gallery Fairchild 2N1613 Early Silicon Planar Transistor |url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_2N1613.htm |access-date=August 10, 2016 }}</ref> at [[Fairchild Semiconductor|Fairchild]] in 1959. ** Epitaxial transistor<ref>{{cite web |url=http://www.computerhistory.org/semiconductor/timeline/1960-Epitaxial.html |title=1960: Epitaxial Deposition Process Enhances Transistor Performance |publisher=Computer History Museum |access-date=June 22, 2023 }}</ref>{{spaced ndash}} a bipolar junction transistor made using vapor-phase deposition. See [[Epitaxy]]. Allows very precise control of doping levels and gradients. == Theory and modeling == [[File:NPN Band Diagram Equilibrium.svg|thumb|[[Band diagram]] for NPN transistor at equilibrium]] [[File:NPN Band Diagram Active.svg|thumb|Band diagram for NPN transistor in active mode, showing injection of electrons from emitter to base, and their overshoot into the collector]] BJTs can be thought of as two diodes (pân junctions) sharing a common region that minority carriers can move through. A PNP BJT will function like two diodes that share an N-type cathode region, and the NPN like two diodes sharing a P-type anode region. Connecting two diodes with wires will not make a BJT, since minority carriers will not be able to get from one pân junction to the other through the wire. Both types of BJT function by letting a small current input to the base control an amplified output from the collector. The result is that the BJT makes a good switch that is controlled by its base input. The BJT also makes a good amplifier, since it can multiply a weak input signal to about 100 times its original strength. Networks of BJTs are used to make powerful amplifiers with many different applications. In the discussion below, focus is on the NPN BJT. In what is called active mode, the baseâemitter voltage <math>V_{\text{BE}}</math> and collectorâbase voltage <math>V_{\text{CB}}</math> are positive, forward biasing the emitterâbase junction and reverse-biasing the collectorâbase junction. In this mode, electrons are injected from the forward biased n-type emitter region into the p-type base where they diffuse as minority carriers to the reverse-biased n-type collector and are swept away by the electric field in the reverse-biased collectorâbase junction. For an illustration of forward and reverse bias, see [[Diode#Currentâvoltage characteristic|semiconductor diodes]]. === Large-signal models === In 1954, [[Jewell James Ebers]] and [[John L. Moll]] introduced their [[mathematical model]] of transistor currents:<ref>{{cite journal|doi=10.1109/jrproc.1954.274797|title=Large-Signal Behavior of Junction Transistors|journal=Proceedings of the IRE|volume=42|issue=12|pages=1761â1772|date=1954|last1=Ebers|first1=J.|last2=Moll|first2=J.|s2cid=51672011}}</ref> ==== EbersâMoll model <span class="anchor" id="Ebers-Moll model"></span><span class="anchor" id="Ebers-Moll"></span><span class="anchor" id="EbersâMoll"></span> ==== [[File:Ebers-Moll model schematic (NPN).svg|frame|Ebers–Moll model for an NPN transistor.<ref> {{cite book |title=Microelectronic Circuits |edition=2nd |first1=Adel S. |last1=Sedra |first2=Kenneth C. |last2=Smith |isbn=978-0-03-007328-1 |date=1987 |page=[https://archive.org/details/microelectronicc0000sedr/page/903 903] |publisher=Holt, Rinehart, and Winston |url=https://archive.org/details/microelectronicc0000sedr/page/903 }}</ref> ''I''<sub>B</sub>, ''I''<sub>C</sub> and ''I''<sub>E</sub> are the base, collector and emitter currents; ''I''<sub>CD</sub> and ''I''<sub>ED</sub> are the collector and emitter diode currents; ''Îą''<sub>F</sub> and ''Îą''<sub>R</sub> are the forward and reverse common-base current gains.]] [[File:Ebers-Moll model schematic (PNP).svg|frame|Ebers–Moll model for a PNP transistor]] [[File:Approximated Ebers Moll.svg|frame|Approximated Ebers–Moll model for an NPN transistor in the forward active mode. The collector diode is reverse-biased so ''I''<sub>CD</sub> is virtually zero. Most of the emitter diode current (''Îą''<sub>F</sub> is nearly 1) is drawn from the collector, providing the amplification of the base current.]] The DC emitter and collector currents in active mode are well modeled by an approximation to the EbersâMoll model: : <math>\begin{align} I_\text{E} &= I_\text{ES} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1\right) \\ I_\text{C} &= \alpha_\text{F} I_\text{E} \\ I_\text{B} &= \left(1 - \alpha_\text{F}\right) I_\text{E} \end{align}</math> The base internal current is mainly by diffusion (see [[Fick's law]]) and : <math>J_{n\,(\text{base})} = \frac{1}{W} q D_n n_{bo} e^{\frac{V_\text{EB}}{V_\text{T}}}</math> where * <math>V_{\text{T}}</math> is the [[Boltzmann constant#Thermal voltage|thermal voltage]] <math>kT/q</math> (approximately 26 mV at 300 K â room temperature). * <math>I_{\text{E}}</math> is the emitter current * <math>I_{\text{C}}</math> is the collector current * <math>\alpha_\text{F}</math> is the common base forward short-circuit current gain (0.98 to 0.998) * <math>I_{\text{ES}}</math> is the reverse saturation current of the baseâemitter diode (on the order of 10<sup>â15</sup> to 10<sup>â12</sup> amperes) * <math>V_{\text{BE}}</math> is the baseâemitter voltage * <math>D_n</math> is the diffusion constant for electrons in the p-type base * ''W'' is the base width The <math>\alpha</math> and forward <math>\beta</math> parameters are as described previously. A reverse <math>\beta</math> is sometimes included in the model. The unapproximated Ebers–Moll equations used to describe the three currents in any operating region are given below. These equations are based on the transport model for a bipolar junction transistor.<ref name=Sedra>{{cite book |first1=A.S. |last1=Sedra |first2=K.C. |last2=Smith |title=Microelectronic Circuits |date=2004 |edition=5th |publisher=Oxford |location=New York |isbn=978-0-19-514251-8 |pages=Eqs. 4.103–4.110, p. 305 |no-pp=true }}</ref> : <math>\begin{align} i_{\text{C}} &= I_\text{S} \left[ \left(e^\frac{V_\text{BE}}{V_\text{T}} - e^\frac{V_\text{BC}}{V_\text{T}}\right) - \frac{1}{\beta_\text{R}} \left(e^\frac{V_\text{BC}}{V_\text{T}} - 1\right) \right]\\ i_{\text{B}} &= I_\text{S} \left[ \frac{1}{\beta_\text{F}} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1 \right) + \frac{1}{\beta_\text{R}} \left(e^\frac{V_\text{BC}}{V_\text{T}} - 1\right) \right]\\ i_{\text{E}} &= I_\text{S} \left[ \left(e^\frac{V_\text{BE}}{V_\text{T}} - e^\frac{V_\text{BC}}{V_\text{T}}\right) + \frac{1}{\beta_\text{F}} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1\right) \right] \end{align}</math> where * <math>i_\text{C}</math> is the collector current * <math>i_\text{B}</math> is the base current * <math>i_\text{E}</math> is the emitter current * <math>\beta_\text{F}</math> is the forward common emitter current gain (20 to 500) * <math>\beta_\text{R}</math> is the reverse common emitter current gain (0 to 20) * <math>I_\text{S}</math> is the reverse saturation current (on the order of 10<sup>â15</sup> to 10<sup>â12</sup> amperes) * <math>V_\text{T}</math> is the thermal voltage (approximately 26 mV at 300 K â room temperature). * <math>V_\text{BE}</math> is the baseâemitter voltage * <math>V_\text{BC}</math> is the baseâcollector voltage ===== Base-width modulation ===== {{Main|Early effect}} [[File:Early effect (NPN).svg|frame|Top: NPN base width for low collectorâbase reverse bias; Bottom: narrower NPN base width for large collectorâbase reverse bias. Hashed regions are [[Depletion width|depleted regions]].]] As the collectorâbase voltage (<math>V_\text{CB} = V_\text{CE} - V_\text{BE}</math>) varies, the collectorâbase depletion region varies in size. An increase in the collectorâbase voltage, for example, causes a greater reverse bias across the collectorâbase junction, increasing the collectorâbase depletion region width, and decreasing the width of the base. This variation in base width often is called the ''[[Early effect]]'' after its discoverer [[James M. Early]]. Narrowing of the base width has two consequences: * There is a lesser chance for recombination within the "smaller" base region. * The charge gradient is increased across the base, and consequently, the current of minority carriers injected across the emitter junction increases. Both factors increase the collector or "output" current of the transistor in response to an increase in the collectorâbase voltage. ===== Punchthrough ===== When the baseâcollector voltage reaches a certain (device-specific) value, the baseâcollector depletion region boundary meets the baseâemitter depletion region boundary. When in this state the transistor effectively has no base. The device thus loses all gain when in this state. ==== GummelâPoon charge-control model ==== The GummelâPoon model<ref>{{cite journal|doi=10.1002/j.1538-7305.1970.tb01803.x|title=An Integral Charge Control Model of Bipolar Transistors|journal=Bell System Technical Journal|volume=49|issue=5|pages=827â852|date=1970|last1=Gummel|first1=H. K.|last2=Poon|first2=H. C.}}</ref> is a detailed charge-controlled model of BJT dynamics, which has been adopted and elaborated by others to explain transistor dynamics in greater detail than the terminal-based models typically do.<ref>{{cite web|url=http://ece-www.colorado.edu/~bart/book/book/chapter5/ch5_6.htm#5_6_2|title=Bipolar Junction Transistors|access-date=August 10, 2016|archive-date=February 7, 2009|archive-url=https://web.archive.org/web/20090207001659/http://ece-www.colorado.edu/~bart/book/book/chapter5/ch5_6.htm#5_6_2|url-status=dead}}</ref> This model also includes the dependence of transistor <math>\beta</math>-values upon the direct current levels in the transistor, which are assumed current-independent in the EbersâMoll model.<ref name=Sedra2>{{cite book |author1=A.S. Sedra |author2=K.C. Smith |title=Microelectronic Circuits |url=https://archive.org/details/microelectronicc00sedr_571 |url-access=limited |date=2004 |edition=5th |publisher=Oxford |location=New York |isbn=978-0-19-514251-8 |page=[https://archive.org/details/microelectronicc00sedr_571/page/n538 509] }}</ref> === Small-signal models === ==== Hybrid-pi model ==== {{Main|hybrid-pi model}} [[File:Hybrid-pi detailed model.svg|thumb|Hybrid-pi model]] The hybrid-pi model is a popular [[Electronic circuit|circuit]] model used for analyzing the [[small signal]] and AC behavior of bipolar junction and field effect [[transistors]]. Sometimes it is also called ''Giacoletto model'' because it was introduced by [[Lawrence J. Giacoletto|L.J. Giacoletto]] in 1969. The model can be quite accurate for low-frequency circuits and can easily be adapted for higher-frequency circuits with the addition of appropriate inter-electrode [[capacitance]]s and other parasitic elements. {{Clear}} ==== h-parameter model ==== [[File:BJT h-parameters (generalised).svg|frame|Generalized h-parameter model of an NPN BJT.<br />''Replace '''x''' with '''e''', '''b''' or '''c''' for CE, CB and CC topologies respectively.'']] Another model commonly used to analyze BJT circuits is the ''[[two-port network#Hybrid parameters (h-parameters)|h-parameter]]'' model, also known as the hybrid equivalent model, closely related to the [[hybrid-pi model]] and the [[admittance parameters|y-parameter]] [[two-port network#Y-parameters (admittance parameters)|two-port]], but using input current and output voltage as independent variables, rather than input and output voltages. This two-port network is particularly suited to BJTs as it lends itself easily to the analysis of circuit behavior, and may be used to develop further accurate models. As shown, the term ''x'' in the model represents a different BJT lead depending on the topology used. For common-emitter mode the various symbols take on the specific values as: * Terminal 1, base * Terminal 2, collector * Terminal 3 (common), emitter; giving ''x'' to be ''e'' * ''i''<sub>i</sub>, base current (''i''<sub>b</sub>) * ''i''<sub>o</sub>, collector current (''i''<sub>c</sub>) * ''V''<sub>in</sub>, base-to-emitter voltage (''V''<sub>BE</sub>) * ''V''<sub>o</sub>, collector-to-emitter voltage (''V''<sub>CE</sub>) and the h-parameters are given by: * ''h''<sub>ix</sub> = ''h''<sub>ie</sub> for the common-emitter configuration, the '''i'''nput impedance of the transistor (corresponding to the base resistance ''r''<sub>pi</sub>). * ''h''<sub>rx</sub> = ''h''<sub>re</sub>, a '''r'''everse transfer relationship, it represents the dependence of the transistor's (input) ''I''<sub>B</sub>–''V''<sub>BE</sub> curve on the value of (output) ''V''<sub>CE</sub>. It is usually very small and is often neglected (assumed to be zero) at DC. * ''h''<sub>fx</sub> = ''h''<sub>fe</sub>, the "forward" current-gain of the transistor, sometimes written ''h<sub>21</sub>''. This parameter, with lower case "fe" to imply small signal (AC) gain, or more often with capital letters for "FE" (specified as ''h''<sub>FE</sub>) to mean the "large signal" or DC current-gain (''β''<sub>DC</sub> or often simply ''β''), is one of the main parameters in datasheets, and may be given for a typical collector current and voltage or plotted as a function of collector current. See below. * ''h''<sub>ox</sub> = 1/''h''<sub>oe</sub>, the output impedance of transistor. The parameter ''h''<sub>oe</sub> usually corresponds to the output admittance of the bipolar transistor and has to be inverted to convert it to an impedance. As shown, the h-parameters have lower-case subscripts and hence signify AC conditions or analyses. For DC conditions they are specified in upper-case. For the CE topology, an approximate h-parameter model is commonly used which further simplifies the circuit analysis. For this the ''h''<sub>oe</sub> and ''h''<sub>re</sub> parameters are neglected (that is, they are set to infinity and zero, respectively). The h-parameter model as shown is suited to low-frequency, small-signal analysis. For high-frequency analyses the inter-electrode capacitances that are important at high frequencies must be added. ===== Etymology of ''h''<sub>FE</sub> ===== The ''h'' refers to its being an h-parameter, a set of parameters named for their origin in a '''''h'''ybrid equivalent circuit'' model (see above). As with all h parameters, the choice of lower case or capitals for the letters that follow the "h" is significant; lower-case signifies "small signal" parameters, that is, the slope the particular relationship; upper-case letters imply "large signal" or [[Direct Current|DC]] values, the ratio of the voltages or currents. In the case of the very often used ''h''<sub>FE</sub>: * ''F'' is from '''''F'''orward current amplification'' also called the current gain. * ''E'' refers to the transistor operating in a ''common '''E'''mitter'' (CE) configuration. So h<sub>FE</sub> (or hFE) refers to the (total; DC) collector current divided by the base current, and is dimensionless. It is a parameter that varies somewhat with collector current, but is often approximated as a constant; it is normally specified at a typical collector current and voltage, or graphed as a function of collector current. Had capital letters not been used for used in the subscript, i.e. if it were written ''h<sub>fe</sub>'' the parameter indicate small signal ([[Alternating Current|AC]]) current gain, i.e. the slope of the Collector current versus Base current graph at a given point, which is often close to the hFE value unless the test frequency is high. === Industry models <span class="anchor" id="Mextram"></span><span class="anchor" id="HICUM"></span><span class="anchor" id="HiCuM"></span><span class="anchor" id="Modella"></span><span class="anchor" id="VBIC"></span> === {{Expand section|date=January 2015}} The GummelâPoon SPICE model is often used, but it suffers from several limitations. For instance, reverse breakdown of the baseâemitter diode is not captured by the SGP (SPICE GummelâPoon) model, neither are thermal effects (self-heating) or quasi-saturation.<ref>{{cite web |title=VBIC Description and Derivation Details<!--title from here: https://designers-guide.org/vbic/references.html--> |url=https://designers-guide.org/vbic/documents/VbicText.pdf |website=Designer's Guide}}</ref> These have been addressed in various more advanced models which either focus on specific cases of application (Mextram, HICUM, Modella) or are designed for universal usage (VBIC).<ref>{{Cite web |url=http://www.silvaco.com/content/kbase/smartspice_device_models.pdf |title=SmartSpice Analog Circuit Simulator|publisher=Silvaco |access-date=January 15, 2015 |archive-date=March 5, 2016 |archive-url=https://web.archive.org/web/20160305020435/http://www.silvaco.com/content/kbase/smartspice_device_models.pdf }}</ref><ref name="Gildenblat2010" >{{cite book |editor=Gennady Gildenblat |title=Compact Modeling: Principles, Techniques and Applications |date=2010 |publisher=Springer Science & Business Media |isbn=978-90-481-8614-3 |at=Part II: Compact Models of Bipolar Junction Transistors, pp. 167â267 cover Mextram and HiCuM in-depth }}</ref><ref name="SchrĂśter2010">{{cite book |first=Michael |last=SchrĂśter |title=Compact Hierarchical Bipolar Transistor Modeling with Hicum |date=2010 |publisher=World Scientific |isbn=978-981-4273-21-3 }}</ref><ref>{{Cite web |url=http://joerg-berkner.de/Fachartikel/pdf/2002_ICCAP_UM_Berkner_Compact_Models_4_BJTs.pdf |title=Compact Models for Bipolar Transistors, Berkner |access-date=January 16, 2015 |archive-url=https://web.archive.org/web/20150116091931/http://joerg-berkner.de/Fachartikel/pdf/2002_ICCAP_UM_Berkner_Compact_Models_4_BJTs.pdf |archive-date=January 16, 2015 }}</ref> == Applications == The BJT remains a device that excels in some applications, such as discrete circuit design, due to the very wide selection of BJT types available, and because of its high transconductance and output resistance compared to [[MOSFET]]s. The BJT is also the choice for demanding analog circuits, especially for [[very-high-frequency]] applications, such as [[radio-frequency]] circuits for wireless systems. === High-speed digital logic === [[Emitter-coupled logic]] (ECL) use BJTs. Bipolar transistors can be combined with MOSFETs in an integrated circuit by using a BiCMOS process of wafer fabrication to create circuits that take advantage of the application strengths of both types of transistor. === Amplifiers === {{Main|Electronic amplifier}} One of the most prominent early uses of the transistor was in consumer products such as the [[transistor radio]] which [[Regency TR-1|began production in 1954]]. The use of transistors in handheld radios and would also jumpstart a small Japanese company named Tokyo Tsushin Kogyo K.K. to prominence with its [[TR-55]] transistor radio bearing the name the company would soon change to match: [[Sony]]. The follow-on pocket-sized Sony TR-63 and several larger models by other manufacturers cemented the transistor and miniaturized electronics as critical to the new, portable consumer device market for decades to come.{{cn|reason=Need RS for "cemented the transistor and miniaturized electronics as critical to the new, portable consumer device market for decades to come"|date=June 2025}} The [[#Transistor parameters: alpha (Îą) and beta (β)|transistor parameters]] Îą and β characterize the [[gain (electronics)|current gain]] of the BJT. It is this gain that allows BJTs to be used as the building blocks of electronic amplifiers. The three main BJT amplifier topologies are: * [[Common emitter]] * [[Common base]] * [[Common collector]] === Temperature sensors === {{Main|Silicon bandgap temperature sensor}} Because of the known temperature and current dependence of the forward-biased baseâemitter junction voltage, the BJT can be used to measure temperature by subtracting two voltages at two different bias currents in a known ratio.<ref>{{Cite web |url=https://www.analog.com/en/resources/design-notes/ic-temperature-sensors-find-the-hot-spots.html |title=IC Temperature Sensors Find the Hot Spots |date=February 21, 2002 |website=analog.com |access-date=January 12, 2025 }}</ref> === Logarithmic converters === Because baseâemitter voltage varies as the logarithm of the baseâemitter and collectorâemitter currents, a BJT can also be used to compute [[logarithm]]s and anti-logarithms. A diode can also perform these nonlinear functions but the transistor provides more circuit flexibility. === Avalanche pulse generators === Transistors may be deliberately made with a lower collector to emitter breakdown voltage than the collector to base breakdown voltage. If the emitterâbase junction is reverse biased the collector emitter voltage may be maintained at a voltage just below breakdown. As soon as the base voltage is allowed to rise, and current flows [[Avalanche breakdown|avalanche]] occurs and impact ionization in the collector base depletion region rapidly floods the base with carriers and turns the transistor fully on. So long as the pulses are short enough and infrequent enough that the device is not damaged, this effect can be used to create very sharp falling edges. Special [[avalanche transistor]] devices are made for this application. == See also == {{Portal|Electronics}} * [[Bipolar transistor biasing]] * [[Gummel plot]] * [[Insulated gate bipolar transistor]] * [[Multiple-emitter transistor]] == Notes == {{notelist}} == References == {{reflist}} == External links == * {{Commons category-inline|Bipolar junction transistors}} {{Transistor amplifiers|state=|d=}} {{Electronic components}} {{Authority control}} [[Category:Bipolar transistors| ]] [[Category:Transistor modeling]] [[Category:Transistor types]]
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