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Ohm's Law in Scalar Form

An inductor c...

Question

An inductor coil of inductance L is cut into two equal parts and both the parts are connected in parallel. The net inductance is:

A

L

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B

L/2

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C

L/4

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D

2L

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Solution

The correct option is C L/4
The inductance is proportional to the length of the coil. So each part will have inductance $\frac{L}{2}$ . In parallel their equivalent becomes

$\frac{L_{1} L_{2}}{L_{1} + L_{2}} = \frac{L}{4}$

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