Mutual Inductance Concept

Hardphysics

Mutual inductance between two coils depends on?

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Only number of turns of primary

Geometric coupling and number of turns of both

Only resistance

Only current magnitude

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Subject: physics
Chapter: em induction and ac
Topic: mutual inductance concept
Difficulty: Hard
Year: 2025

Solution

Correct Answer:

Geometric coupling and number of turns of both

Definition: Mutual inductance ( $M$ ) is the property where a change in current in one coil induces an emf in a nearby second coil.
Factors:
- Coil Geometry: Sizes and shapes of both coils.
- Turn Count: $M \propto N_{1} N_{2}$ .
- Flux Coupling: Proximity and orientation of coils (distance and angle).
- Core Material: Relative permeability of the magnetic material threading both coils (using a soft iron core greatly increases $M$ ).
Formula: $ϵ_{2} = - M \frac{d i _{1}}{d t}$ .

This hard difficulty physics question is from the chapter em induction and ac, covering the topic of mutual inductance concept. It appeared in the 2025 exam.

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Mutual Inductance Concept

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