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Question: Answered & Verified by Expert
A toroidal solenoid with air core has an average radius ' $\mathrm{R}^{\prime}$, number of turns ' $\mathrm{N}^{\prime}$ and
area of cross-section 'A'. The self-inductance of the solenoid is (Neglect the field variation across the cross-section of the toroid)
PhysicsElectromagnetic InductionMHT CETMHT CET 2020 (13 Oct Shift 1)
Options:
  • A $\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{\mathrm{R}}$
  • B $\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{2 \pi \mathrm{R}}$
  • C $\frac{\mu_{0} \mathrm{NA}}{2 \pi \mathrm{R}}$
  • D $\frac{\mu_{0} \mathrm{NA}}{\mathrm{R}}$
Solution:
2717 Upvotes Verified Answer
The correct answer is: $\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{2 \pi \mathrm{R}}$
Theory question.

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