STANDARDPhysics-Electromagnetic Induction

STANDARD Physics Mutual Inductance MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A short solenoid of radius a, number of turns per unit length n₁, and length L is kept coaxially inside a very long solenoid of radius b, number of turns per unit length n₂. What is the mutual inductance of the system?

A

μ₀πb²n₁n₂L

B

μ₀πa²n₁n₂L²

C

μ₀πa²n₁n₂L

D

μ₀πb²n₁n₂L²

Correct Answer

Option C

Detailed Explanation

The mutual inductance of the system is M = μ₀πa²n₁n₂L. This is derived from the formula for mutual inductance considering the geometry and arrangement of the solenoids.

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