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Question

What resistor should be connected in parallel with the 20 Ω resistor in branch ADC in the circuit shown in figure, so that potential difference between B and D may be zero ?


A
20 Ω
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B
10 Ω
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C
5 Ω
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D
15 Ω
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Solution

The correct option is A 20 Ω

Since, R resistor is connected in parallel with the 20 Ω resistor, so effective resistance will be

Req=20R20+R=x (let)

The potential difference between B and B will be zero only when bridge is balanced.

So, let’s balance Wheatstone bridge,

20x=105

x=10 Ω

20R20+R=1010R=200

R=20 Ω

Hence, option (a) is correct.

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