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Question

Question: Three equal resistances each of value R are joined as shown in the figure. The equivalent resistance...

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

A

R

B

2R

C

R2\frac{R}{2}

D

R3\frac{R}{3}

Answer

R3\frac{R}{3}

Explanation

Solution

Three resistances are in parallel.

1R=1R+1R+1R=3R\frac{1}{R'} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} = \frac{3}{R}

The equivalent resistance R=R3ΩR' = \frac{R}{3}\Omega