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  4. In the circuit shown in figure, the effective resistance between A and B is

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Q. In the circuit shown in figure, the effective resistance between $A$ and $B$ isPhysics Question Image

UPSEEUPSEE 2013

Solution:

The upper part of the circuit is balanced Wheat stone's bridge. So, resistance $R$ in branch $C D$ is ineffective as no current will flow in this branch. The circuit therefore reduces to three parallel branches having resistance $R, R+R$ and $R+R$.
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$\therefore $ Effective resistance $\frac{1}{R'}=\frac{1}{R}+\frac{1}{2 R}+\frac{1}{2 R}$
$\Rightarrow \, R'=R / 2$