First slide

combination of resistance

Question

For what value of unknown resistance X, the potential difference between B and D will be zero in the arrangement of fig.

Moderate

A

4 $Ω$
B

2 $Ω$
C

3 $Ω$
D

6 $Ω$

Solution

When the bridge is balanced, the potential difference between B and D will be zero.
$\begin{array}{l} \frac{P}{Q} = \frac{R}{S} \\ \frac{12}{0 \cdot 5} = \frac{6 + X}{0 \cdot 5} or 12 = 6 + X \\ X = 6 Ω \end{array}$

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