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Each resistor in the circuit shown, has a resistance of $4 Ω .$ The cell has an emf of 12V and negligible internal resistance. When a resistance $R_{1}$ is connected between the points A and F, there is no deflection in a galvanometer connected between F and B. When the same resistance $R_{1}$ is connected between D and E, a galvanometer connected between C and E records a current i.

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