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(C) Since the coil of inductance $L$ is divided into four equal parts,the inductance of each part is $L_1 = L_2 = L_3 = L_4 = \frac{L}{4}$.When induct

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$\frac{L}{16}$

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(C) Since the coil of inductance $L$ is divided into four equal parts,the inductance of each part is $L_1 = L_2 = L_3 = L_4 = \frac{L}{4}$.When inductors are connected in parallel,the equivalent inductance $L^{\prime}$ is given by the formula $\frac{1}{L^{\prime}} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3} + \frac{1}{L_4}$.Substituting the values,we get $\frac{1}{L^{\prime}} = \frac{1}{L/4} + \frac{1}{L/4} + \frac{1}{L/4} + \frac{1}{L/4} = \frac{4}{L} + \frac{4}{L} + \frac{4}{L} + \frac{4}{L} = \frac{16}{L}$.Therefore,$L^{\prime} = \frac{L}{16}$.

$A$ coil of inductance $L$ is divided into four equal parts and all the parts are connected in parallel. The effective inductance of the combination is

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