Question

Four resistors are connected as shown in figure. A $6V$ battery of negligible resistance is connected across terminal $AC$. The potential difference across terminals $B$ and $D$ will be :

• A. $0V$
• B. $1.5V$
• C. $2V$
• D. $3V$

Answer 1

The correct option is A $0V$

The equivalent circuit is redrawn in the figure.

Here, $\frac{P}{Q}=\frac{10}{30}=\frac{1}{3}$

and $\frac{R}{S}=\frac{5}{15}=\frac{1}{3}$

so $\frac{P}{Q}=\frac{R}{S}$

Thus, it is a balanced Wheatstone bridge circuit and points B and D would be at the same potential. Therefore the potential difference between B and D will be zero.