In the figure given, the value of X resistance when the potential differences between B and D is zero, is

In the figure given, the value of X resistance when the potential differences between B and D is zero, is

A
4 ohm
B
6 ohm
C
8 ohm
D
9 ohm

Solution:

Potential difference between B and D is zero, it means Wheatstone bridge is in balanced condition.

$So \frac{P}{Q} = \frac{R}{S} \Rightarrow \frac{21}{3 + \frac{8 X}{(8 + X)}} = \frac{18}{6} \Rightarrow X = 8 Ω$

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