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:

Question

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AAI ATC Junior Executive 27 July 2022 Shift 1 Official Paper

Answer 1

Concept:

Mutual Inductance:
- When two coils are brought in proximity to each other the magnetic field in one of the coils tends to link with the other.

This further leads to the generation of voltage in the second coil.
This property of a coil that affects or changes the current and voltage in a secondary coil is called mutual inductance
The mutual inductance, M = π μ0 n1 n2 \(\rm r_1^2\) L.

Explanation:

Let's consider L is the length of the coaxial cylinder.

n1 and n₂ are the numbers of turns of the inner solenoid and the outer solenoid respectively.

The mutual inductance is π μ0 n1 n2 \(\rm r_1^2\) L.

Additional Information

Self-inductance:
- Self-inductance is the property of the current-carrying coil that resists or opposes the change of current flowing through it.
- This occurs mainly due to the self-induced emf produced in the coil itself.

F1 Madhuri Defence 20.12.2022 D9