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Right-hand rule
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==Electromagnetism== *When electricity flows (with direction given by [[conventional current]]) in a '''long straight wire,''' it creates a cylindrical magnetic field around the wire according to the right-hand rule. The conventional direction of a magnetic line is given by a compass needle. *[[Electromagnet]]: The magnetic field around a wire is relatively weak. If the wire is coiled into a helix, all the field lines inside the helix point in the same direction and each successive coil reinforces the others. The advance of the helix, the non-circular part of the current, and the field lines all point in the positive ''z'' direction. Since there is no [[magnetic monopole]], the field lines exit the +''z'' end, loop around outside the helix, and re-enter at the −''z'' end. The +''z'' end where the lines exit is defined as the north pole. If the fingers of the right hand are curled in the direction of the circular component of the current, the right thumb points to the north pole. *[[Lorentz force]]: If an electric charge moves across a magnetic field, it experiences a force according to the Lorentz force, with the direction given by the right-hand rule. If the index finger represents the direction of flow of charge (i.e. the current) and the middle finger represents the direction of the magnetic field in space, the direction of the force on the charge is represented by the thumb. Because the charge is moving, the force causes the particle path to bend. The bending force is computed by the vector cross-product. This means that the bending force increases with the velocity of the particle and the strength of the magnetic field. The force is maximum when the particle direction and magnetic fields are perpendicular, is less at any other angle, and is zero when the particle moves parallel to the field. ===Ampère's right-hand grip rule=== {{anchor|Right hand grip rule}} [[Image:Manoderecha.svg|thumb|Prediction of direction of field (''B''), given that the current ''I'' flows in the direction of the thumb]] [[File:Coil right-hand rule.svg|thumb|upright=1.5|Finding direction of magnetic field (''B'') for an electrical coil]] [[André-Marie Ampère|Ampère's]] right-hand grip rule,<ref>''IIT Foundation Series: Physics – Class 8'', Pearson, 2009, p. 312.</ref> also called the ''right-hand screw rule'', ''coffee-mug rule'' or the ''corkscrew-rule;'' is used either when a [[Euclidean vector|vector]] (such as the [[Euler vector]]) must be defined to represent the [[rotation]] of a body, a magnetic field, or a fluid, or vice versa, when it is necessary to define a [[rotation vector]] to understand how rotation occurs. It reveals a connection between the current and the [[magnetic field lines]] in the magnetic field that the current created. Ampère was inspired by fellow physicist [[Hans Christian Ørsted]], who observed that needles swirled when in the proximity of an [[electric current]]-carrying wire and concluded that electricity could create [[magnetic fields]]. ===Application=== This rule is used in two different applications of [[Ampère's circuital law]]: #'''To determine the direction of the magnetic flux around the conductor.''' The direction of the magnetic field ([[counterclockwise]] rotation instead of [[clockwise|clockwise rotation of coordinates]] when viewing the tip of the thumb) is a result of this convention and not an underlying physical phenomenon #* '''The Right-Hand Thumb Rule:''' Describes the magnetic field around a current-carrying conductor. When electric current passes through a straight wire, point the thumb of your right hand in the direction of the conventional current (from positive to negative). The curled fingers will then point in the direction of the magnetic [[flux]] lines around the conductor. #* '''The Right-Hand Screw Rule (Maxwell’s Corkscrew Rule):''' This rule helps determine the direction of the magnetic field. If you imagine screwing a right-handed screw in the direction of the conventional current (from positive to negative), the direction the screw moves indicates the magnetic field. The field direction follows a counterclockwise rotation of coordinates when viewed from the tip of the thumb, based on this convention. # '''To determine the direction of the magnetic north pole in a Solenoid.''' #* An [[electric current]] passes through a [[solenoid]], resulting in a magnetic field. When wrapping the right hand around the solenoid with the fingers in the direction of the [[conventional current]], the thumb points in the direction of the magnetic north pole.
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