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A copper wire and an iron wire, each hav...

A copper wire and an iron wire, each having an area of cross-section A and lengths `L_(1) and L_(2)` are joined end to end. The copper end is maintained at a potential `V_(1)` and the iron end at a lower potential `V_(2)`. If `sigma_(1) and sigma_(2)` are the conductivities of copper and iron respectively, then the potential of the junction will be

A

`(sigma_(1)V_(1)+sigma_(2)V_(2))/((sigma_(1)//L_(1))+(sigma_(1)//L_(2)))`

B

`((sigma_(1)V_(1))/(L_(1))+(sigma_(2)V_(2))/(L_(2)))/((sigma_(1)//L_(1))+(sigma_(1)//L_(2)))`

C

`((sigma_(1)//V_(1))+(sigma_(2)//V_(2)))/(sigma_(1)V_(1)+sigma_(2)V_(2))`

D

`(sigma_(1)V_(1)-sigma_(2)V_(2))/((sigma_(1)//L_(1))-(sigma_(1)//L_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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