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Question

Question: In the combination of resistances shown in the figure the potential difference between *B* and *D* i...

In the combination of resistances shown in the figure the potential difference between B and D is zero, when unknown resistance (x) is

A

4 Ω

B

2 Ω

C

3 Ω

D

The emf of the cell is require

Answer

2 Ω

Explanation

Solution

The potential difference across B, D will be zero, when the circuit will act as a balanced wheatstone bridge and PQ=RS12+4x=1+31/2\frac{P}{Q} = \frac{R}{S} \Rightarrow \frac{12 + 4}{x} = \frac{1 + 3}{1/2}x = 2Ω