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(D) The circuit consists of a bridge-like structure. Let the central junction be $C$. The resistors connected to $A$ and $B$ are in series with the re

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$4$

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(D) The circuit consists of a bridge-like structure. Let the central junction be $C$. The resistors connected to $A$ and $B$ are in series with the rest of the circuit.However,looking at the symmetry,the top triangle consists of three $2\, \Omega$ resistors. The two resistors connected to $A$ and $B$ are also $2\, \Omega$ each.When a potential difference is applied between $A$ and $B$,the current flows through the two bottom resistors connected to $A$ and $B$. Since the top part is a closed loop connected to the central node,and due to the symmetry of the potential,no current flows through the top triangle resistors.Thus,the equivalent resistance is simply the sum of the two bottom resistors: $R_{eq} = 2\, \Omega + 2\, \Omega = 4\, \Omega$.

For the circuit shown in the figure,the equivalent resistance between $A$ and $B$ is ............. $\Omega$.

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