Question 249: Electromagnetic Induction

Question

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

Accepted Answer

When an inductor coil of inductance $L$ is divided into two equal parts, each part will have an inductance of $\frac{L}{2}$. When both parts are connected in parallel, the combined or net inductance $L_{	ext{net}}$ is found using the formula for inductors in parallel:
$$ \frac{1}{L_{	ext{net}}} = \frac{1}{L_1} + \frac{1}{L_2} $$
In this case, since both inductors have the same inductance of $\frac{L}{2}$:
$$ \frac{1}{L_{	ext{net}}} = \frac{1}{\frac{L}{2}} + \frac{1}{\frac{L}{2}} $$
This simplifies to:
$$ \frac{1}{L_{	ext{net}}} = \frac{2}{L} + \frac{2}{L} = \frac{4}{L} $$
Thus, the net inductance is:
$$ L_{	ext{net}} = \frac{L}{4} $$
Therefore, the correct choice is
Option D: $\frac{L}{4}$
.

Answer

L

Answer

2L

Answer

$\frac{\mathrm{L}}{2}$

Answer

$\frac{\mathrm{L}}{4}$

Electromagnetic Induction

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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