The effective resistance between points A and | vedclass

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(B) $1$. Analyze the circuit symmetry. The network can be redrawn by identifying the nodes and the connections between them.$2$. The circuit consists

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$\frac{3}{5} R$

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(B) $1$. Analyze the circuit symmetry. The network can be redrawn by identifying the nodes and the connections between them.$2$. The circuit consists of a Wheatstone bridge structure combined with additional branches.$3$. By simplifying the series and parallel combinations of the resistors,we can reduce the network.$4$. The top part forms a bridge where the central resistor is connected to $A$. The two branches connected to $A$ are in series with the resistors below them,forming parallel paths.$5$. After simplifying the series and parallel combinations,the equivalent resistance between points $A$ and $B$ is calculated as $R_{AB} = \frac{3}{5} R$.

The effective resistance between points $A$ and $B$ for the following network is (each branch has a resistance of $R$):

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