First slide

Inductance

Question

When the number of turns in a coil is doubled without any change in the length of the coil, its self inductance becomes

Moderate

A

Four times
B

Doubled
C

Halved
D

Unchanged

Solution

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

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