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A composite rod made up of two conductor...

A composite rod made up of two conductors of resistivity `rho_(1)` and `rho_(2)` is shown in the figure. If face A and B are connected to a battery, find the resistance of the rod.

A

`((rho_(1)+rho_(2))L)/(4a^(2))`

B

`((3rho_(1)+rho_(2))L)/(3a^(2))`

C

`(rho_(1)rho_(2)L)/(a^(2)(3rho_(1)+rho_(2)))`

D

`(3rho_(1)rho_(2)L)/(a^(2)(3rho_(1)+rho_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
`R_(1)=(rho_(1)L)/(a^(2))," "R_(2)=(rho_(2)L)/(3a^(2))`
Both are in parallel `" ":." "R_(eq)=(R_(1)R_(2))/(R_(1)+R_(2))=(rho_(1)rho_(2)L)/(a^(2)(3rho_(1)+r_(2)))`
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