Rankers Physics
Topic: Electromagnetic Induction

34. If N is the number of turns in a coil, the value of self inductance varies as (1993)

$N^0$
N
$N^2$
$N^{-2}$

Solution:

Self-inductance of a coil/solenoid is given by $L = \frac{\mu_0 N^2 A}{l}$.
This relation clearly shows that self-inductance is directly proportional to the square of the number of turns.
Therefore, $L \propto N^2$.

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