Consider two coaxial cylinders of same length L, with vacuum inside them. The radii of the inner solenoid and the outer solenoid are r 1 and r 2 (> r 1 ), respectively. The number of turns per unit length are n 1 and n 2 for the inner solenoid and the outer solenoid, respectively. The mutual inductance is:

Correct Answer is : π μ0 n1 n2 r12 L

AAI ATC Junior Executive 27 Jul 2022 Shift 1 Paper

Question : 82 of 120

Marks: +1, -0

Consider two coaxial cylinders of same length L, with vacuum inside them. The radii of the inner solenoid and the outer solenoid are r₁ and r₂ (> r₁), respectively. The number of turns per unit length are n₁ and n₂ for the inner solenoid and the outer solenoid, respectively. The mutual inductance is:

π μ₀ n₁ n₂ $r_{2}^{2}$ L
π μ0 n1 n2 $r_{1}^{2}$ L
4π μ0 n1 n2 $r_{1}^{2}$ L
4π μ0 n1 n2 $r_{2}^{2}$ L

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