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On what factor the resistance of …

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On what factor the resistance of conductor depends give it's mathematical expression.give the SI unit of resistivity? Calculate the resistivity of a metal of length 2m at 20 degree Celsius having the resistance of 20W and diameter 0.3mm?
  • 1 answers

Meghna Thapar 5 years, 6 months ago

  • Factors on which the Resistance of a Conductor Depends:

The  resistance  of  a  conductor  is  directly proportional  to  its  length  (l)  and  inversely  proportional  to  its area of cross section (A).

R µ/l A

R = ρ I/A

where ρ is a constant of proportionality called specific resistance or resistivity of the material of the conductor.

The S.I. unit of resistivity is ohm metre (Ωm). The metals and alloys have very low resistivity in the range of 10–8 Ω m to 10–6 Ω m. They are good conductors of electricity. Insulators like rubber and glass have resistivity of the order of 1012 to 1017 Ωm. Both the resistance and resistivity of a material vary with temperature.

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