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Resistance and Ohm's Law

What is the e...

Question

What is the effective resistance between A and B in the following circuit?

A

r/2

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B

r/4

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C

4r

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D

r

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Solution

The correct option is A
r/2

All the resistors are in parallel because B is located on a conducting wire hence all points on this circular wire will be at same potential. So we can see that all the resistors have potential difference V_AB across them hence all are parallel. Net resistance = 1/2r + 1/2r + 1/2r + 1/2r

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