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Electrical resistance and conductance: Difference between revisions

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] ] ] ] ] ]


yeh bet that pissed you off
{{msg:electromagnetism}}

'''Electrical resistance''' is the ratio of the ] (i.e. voltage) across an electric component (such as a ]) to the ] passing through it:

:<math>R=V/I</math>

where ''R'' is the resistance, ''V'' the voltage and ''I'' the current.

Resistance is thus a measure of the component's opposition to the flow of ]. The ] unit of electrical resistance is the ]. Its ] quantity is '''electrical conductance''' measured in ].

'''Differential resistance''' or '''incremental resistance''' is defined as the slope of the ''V-I'' graph at a particular point, thus:

:<math>R=dV/dI</math>

This quantity is sometimes called simply ''resistance'', although the two definitions are equivalent only for an ohmic component such as an ideal resistor. If the ''V-I'' graph is not monotonic (i.e. it has a peak or a trough), the differential resistance will be negative for some values of voltage and current. This property is often known as '']'', although it is more correctly called ''negative differential resistance'', since the absolute resistance ''V''/''I'' is still positive.

For a wide variety of materials and conditions, the electrical resistance does not depend on the amount of current flowing or the amount of applied ]: the two are ] and the proportionality constant is the electrical resistance. This case is described by ].

'''Specific electrical resistance''', a measure of a material's ability to oppose the flow of electric current, is also known as ].

The resistance ''R'' of a wire can be computed as

:<math> R = {L \rho \over A} \; , </math>

where ''L'' is the length of the wire, ''A'' is the cross-sectional area and &rho; is the electrical resistivity of the material.

See ] for the more information about the physical mechanisms for conduction in materials.

==See also==
*]

Revision as of 19:40, 24 March 2004

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yeh bet that pissed you off