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Question

Find the current through the resistor B in the given circuit. Each resistor has a resistance of 10Ω and each battery has an EMF of 10 V.

A
0A
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B
1A
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C
10A
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D
0.1A
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Solution

The correct option is A 0A
Alright let’s try and mark all points of the same potential and

We have four points A,C,C,E. The two junctions at the bottom will both be C. Now the potential difference between points A and C is 10V as there is a cell connected between the points. The same goes for points E and C. The difference is 10V. Therefore, points A and E are at equally higher points from point C.
We can thus conclude that points E and A are at the same potential. Therefore there is no current between A and E.
The answer is zero.
You could alternately apply Kirchhoff’s laws and arrive at the same answer.

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