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Question

Each resistance of the circuit shown in diagram is r. The equivalent resistance across the points A and B is


A
r
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B
r4
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C
r2
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D
5r8
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Solution

The correct option is C r2
We can redraw the given circuit as shown below.


Since, points B and C are connected to a wire, so both have same potential.


So, resistance AB and AC are in parallel.

Similarly, BC and CD are in parallel.

So,

So, equivalent resistance between points A and B is r/2.

rAB=r2

Therefore, option (C) is the right answer.

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