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A cylindrical conductor has uniform cros...

A cylindrical conductor has uniform cross-section. Resistivity of its material increase linearly from left end to right end. If a constant current is flowing through it and at a section distance x from left end, magnitude of electric field intensity is E , which of the following graphs is correct

A


B


C


D

Text Solution

Verified by Experts

The correct Answer is:
B
If we take resistivity at a distance .x. from left end as `p + (p_(o) + ax)`, then electric field intensity at this point will be `E (ip)/(A)`= where i is the current flowing through the conductor.
Therefore,`E prop p` and `E(x) =(i)/(A)(p_(0)+ax)`
therefore Hence, (B) is correct.
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