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A potential difference applied to the en...

A potential difference applied to the ends of a wire made up of an alloy drives a current through it such that `J = alpha + beta r` ,where r is the distance of the point from the axis. If R be the radius of the wire, then find the total current through any cross section of the wire.

A

`frac(pi R^2)(6)(3 alpha + 2 beta R)`

B

`frac(2 pi R^2)(6)(alpha + beta R)`

C

`frac(2pi R^2)(6)(3 alpha + 2 beta R)`

D

`frac(2pi R^2)(6)(3 alpha + 2 beta R)`

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