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Question: Answered & Verified by Expert
The self-inductance $L$ of a solenoid of length $\lambda$ and area of crosssection $A$ with a fixed number of turns $N$ increases as
PhysicsElectromagnetic InductionMHT CETMHT CET 2022 (06 Aug Shift 2)
Options:
  • A $\lambda$ increases and $A$ decreases
  • B $\lambda$ decreases and $A$ increases
  • C both $\lambda$ and $A$ increase
  • D both $\lambda$ and $A$ decreases
Solution:
2794 Upvotes Verified Answer
The correct answer is: $\lambda$ decreases and $A$ increases
The self-inductance $L$ of a solenoid of length $b$ and area of cross section $A$ with fixed number of turns $N$ is
$L=\frac{\mu_0 N^2 A}{b}$
So, L increases when $b$ decreases and $A$ increases

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