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  4. The effective resistance between P and Q of the electrical circuit shown in the figure is

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Q. The effective resistance between $P$ and $Q$ of the electrical circuit shown in the figure isPhysics Question Image

JIPMERJIPMER 2016Current Electricity

Solution:

Equivalent circuits of given circuit are shown.
image
$\frac{1}{R'} = \frac{1}{2R} +\frac{1}{r}+\frac{1}{2R } \:\:\:\:\: \therefore R'=\frac{Rr}{R+r}$
Total resistant $ R'' = R' +R' =\frac{2Rr}{R+r}$