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  4. Three equal resistances each of value R are joined as shown in the figure. The equivalent resistance between M and N is

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Q. Three equal resistances each of value $R$ are joined as shown in the figure. The equivalent resistance between $M$ and $N$ isPhysics Question Image

Chhattisgarh PMTChhattisgarh PMT 2005

Solution:

All $3$ resistances are in parallel.
$\therefore $ By $ \frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}$
or $\frac{1}{R_{e q}}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R} $
$\Rightarrow R_{e q}=\frac{R}{3}$

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