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Q.
The effective resistance between points $P$ and $Q$ of the electrical circuit shown in the figure is
Current Electricity
Solution:
In a circuit, any circuit element placed between points at the same potential can be removed, without affecting the rest of the circuit. Here, by symmetry, points $A, B$ and $C$ are at same potential, for any potential difference between $P$ and $Q$.
The circuit can therefore be reduced as shown below
Effective resistance, $R_{e q}=\frac{2 R r}{R+r}$.
