JEE PYQ: Electromagnetic Induction Question 16
Question 16 - 2019 (09 Apr Shift 1)
The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to:
(1) L
(2) $L^2$
(3) $1/L^2$
(4) $1/L$
Show Answer
Answer: (4)
Solution
Inductance $= \frac{\mu_0 N^2 A}{L}$. Since $N$ and $A$ are fixed, $L_{\text{inductance}} \propto \frac{1}{L}$.
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