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A thin wire of length L and cross-sectio...

A thin wire of length L and cross-sectional area A oriented in the x-direction is made up of an ohmic material whose resistivity varies along the wire according to the empirical law `rho = rho_(0)e^(- x //lL)`
(i) Determine how the field with in wire varies with position if the end at x=0 is at potential `V_(0)` greater than the end at x=L.
(ii) How does potential varies as you move along the wire ?
(Iii) What is resistance of the wire ?

A

`(rho_(0)L)/(A)((1)/(e))`

B

`(rho_(0)L)/(A)(e)`

C

`(rho_(0)L)/(A)(1-(1)/(e))`

D

`(rho_(0)L)/(A)(e-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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