The self inductance ' L ' of a solenoid of length ' l ' and area of cross-section ' A ', with a fixed number of turns ' N ' increases as (a) both l and A increase (b) l decreases and A increases (c) l increases and A decreases (d) both l and A decrease

Answer: (b). L = (μ₀ N² A)/(l) with N fixed, so L ∝ A/l. L increases when A increases and l decreases. So the answer is (b) l decreases and A increases.

The self inductance ' L ' of a solenoid of length ' l ' and area of… | MHT CET 2023 (11 May, Shift 2)

Q56MHT CET 2023 · 11 MAY · SHIFT 2Easy

Self-Inductance & Energy

The self inductance ' $L$ ' of a solenoid of length ' $l$ ' and area of cross-section ' $A$ ', with a fixed number of turns ' $N$ ' increases as

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Answer: (b)

$L = \dfrac{\mu_0 N^2 A}{l}$ with $N$ fixed, so $L \propto \dfrac{A}{l}$ .
$L$ increases when $A$ increases and $l$ decreases.
So the answer is (b) $l$ decreases and $A$ increases.

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Self-Inductance & Energy question from MHT CET 2023 (11 May, Shift 2)

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