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  4. The self inductance of a coil is L, keeping the length and area same, the number of turns in the coil is increased to four times. The self inductance of coil will:

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Q. The self inductance of a coil is $L$, keeping the length and area same, the number of turns in the coil is increased to four times. The self inductance of coil will:

Electromagnetic Induction

Solution:

By the relation,
$L=\frac{\mu_{0} N^{2} A}{1}$
$\therefore L \propto N ^{2}$
$L _{2}=\left(\frac{4 N }{ N }\right)^{2} L$
$\Rightarrow L _{2}=16 L$