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(D) The inductance of a coil is directly proportional to its length $(L \propto l)$.When the coil is divided into two equal parts,each part has an ind

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$\frac{L}{4}$

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(D) The inductance of a coil is directly proportional to its length $(L \propto l)$.When the coil is divided into two equal parts,each part has an inductance of $L_1 = L_2 = \frac{L}{2}$.When these two inductors are connected in parallel,the equivalent inductance $L_{eq}$ is given by the formula:$\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2}$Substituting the values:$\frac{1}{L_{eq}} = \frac{1}{L/2} + \frac{1}{L/2} = \frac{2}{L} + \frac{2}{L} = \frac{4}{L}$Therefore,$L_{eq} = \frac{L}{4}$.

An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The net inductance is

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