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If the potential difference between A andD is V, what will be potential difference between F and C.Each of the resistance is R.

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a

V/3

b

V/4

c

V/6

d

V/8

answer is B.

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Detailed Solution

$\begin{array}{l} V = {IR}_{eq} = I \frac{4 R}{3} \\ or I = \frac{3 V}{4 R} \\ V_{1} = V_{A} - V_{F} = I \frac{R}{2} \\ V_{2} = V_{A} - V_{C} = I (\frac{R}{2} + \frac{R}{3}) = \frac{5}{6} IR \\ V_{2} - V_{1} = V_{F} - V_{C} = IR (\frac{5}{6} - \frac{1}{2}) = \frac{IR}{3} \\ V_{F} - V_{C} = \frac{IR}{3} = (\frac{4 IR}{3}) \frac{1}{4} = \frac{V}{4} \end{array}$

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