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Two coils, each of self inductance L, are closely wound in series such that the sense of their winding is opposite. The equivalent inductance of the c
Question

Two coils, each of self inductance L, are closely wound in series such that the sense of their winding is opposite. The equivalent inductance of the combination is:

A.

2L

B.

L/2

C.

Zero

D.

L2\text{L}^2​​

Correct option is C

When two inductors are wound in series:Same direction of winding (aiding):Leq=L1+L2+2MOpposite direction of winding (opposing):Leq=L1+L22MIf both coils have equal self-inductance L and are closely wound, the mutual inductance M=L. Then,Leq=L+L2L=0\text{When two inductors are wound in \textbf{series}:} \\\bullet \textbf{Same direction of winding} \text{ (aiding):} \\L_{eq} = L_1 + L_2 + 2M\\[10pt]\bullet \textbf{Opposite direction of winding} \text{ (opposing):} \\L_{eq} = L_1 + L_2 - 2M\\[10pt]\text{If both coils have equal self-inductance } L \text{ and are closely wound, the mutual inductance } M = L. \text{ Then,} \\L_{eq} = L + L - 2L = 0​​

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