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Question: Answered & Verified by Expert
Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1: 2 . The ratio of self-inductance of two solenoids is
PhysicsElectromagnetic InductionBITSATBITSAT 2010
Options:
  • A 1: 1
  • B 1: 2
  • C 2: 1
  • D 1: 4
Solution:
2742 Upvotes Verified Answer
The correct answer is: 1: 2
From $L=\frac{\mu_{0} N^{2} A}{1} \alpha \frac{N^{2}}{1}$
we get, $\frac{\mathrm{L}_{1}}{\mathrm{~L}_{2}}=\frac{(1 / 2)^{2}}{1 / 2}=\frac{1}{2}$

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