Prove the relationship between Resistance and resistivity.

Asked by  | 7th Aug, 2009, 07:02: PM

Expert Answer:

Resistance of a metal wire is found to be DIRECTLY PROPOTIONAL TO IT'S LENGTH.

and INVERSELY PROPOTIONAL TO THE CROSS SECTIONAL AREA.

Hence,

R  L/A, where R is the resistance, L is the length, and A is the cross sectional area.

The propotionality constant is called resistivity, and denoted by ρ.

R = ρL/A.

Regards,

Team,

TopperLearning.

Answered by  | 7th Aug, 2009, 10:04: PM

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