First slide

Inductance

Question

In circular coil, when no. of turns is doubled and resistance becomes $\frac{1}{4} t h$ of initial, then inductance becomes

Moderate

A

4 times
B

2 times
C

8 times
D

No change

Solution

$L \propto N^{2} \frac{L_{2}}{L_{1}} = {(\frac{N_{2}}{N_{1}})}^{2} = {(\frac{2 N_{1}}{N_{1}})}^{2} = 4$

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