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Question

The circuit shown has a resistor of equal resistance R.Find the equivalent resistance between A and B, when the key is closed.
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A
11R12
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B
13R12
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C
R5
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D
15R12
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Solution

The correct option is C R5

As from the configuration, we can deduce that, 1 and 2 are in parallel,
1R12=1R+1R=2R
Now potential at y will be some as potential at θ, which implies that there will be no current through arm yθ and hence that's why resister 6 can be neglected and hence then there will be five 5 resister which are in parallel with each other.
The resultant resistance is given by
1Req=1R+1R+1R+1R+1R=5R
Req=R5

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