Question

In figure given above, find the value of resistance $X$ for which points $A$ and $B$ are at the same potential :

Answer 1

The circuit can be re-drawn as shown in the figure :
Since points A and B are at same potential, so given circuit will behave as a balanced Wheatstone's bridge
$\therefore \frac{3}{6}=\frac{5}{X}$
$\Rightarrow X=10\Omega$