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Smith chart
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===Practical examples=== [[Image:SmithEx2.png|thumbnail|Example points plotted on the normalized impedance Smith chart.]] A point with a reflection coefficient magnitude 0.63 and angle 60Β° represented in polar form as <math>0.63\angle60^\circ\,</math>, is shown as point P<sub>1</sub> on the Smith chart. To plot this, one may use the circumferential (reflection coefficient) angle scale to find the <math>\angle60^\circ\,</math> graduation and a ruler to draw a line passing through this and the centre of the Smith chart. The length of the line would then be scaled to P<sub>1</sub> assuming the Smith chart radius to be unity. For example, if the actual radius measured from the paper was 100 mm, the length OP<sub>1</sub> would be 63 mm. The following table gives some similar examples of points which are plotted on the ''Z'' Smith chart. For each, the reflection coefficient is given in polar form together with the corresponding normalised impedance in rectangular form. The conversion may be read directly from the Smith chart or by substitution into the equation. {| class="wikitable" style="margin-left: auto; margin-right: auto; border: none;" |+Some examples of points plotted on the normalised impedance Smith chart !width="200"|Point identity !width="250"|Reflection coefficient (polar form) !width="300"|Normalised impedance (rectangular form) |- |P<sub>1</sub> (Inductive) |<math>0.63\angle60^\circ\,</math> |<math>0.80 + j1.40\,</math> |- |P<sub>2</sub> (Inductive) |<math>0.73\angle125^\circ\,</math> |<math>0.20 + j0.50\,</math> |- |P<sub>3</sub> (Capacitive) |<math>0.44\angle-116^\circ\,</math> |<math>0.50 - j0.50\,</math> |}
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