Self inductance and mutually inductance, Study notes of Physics

Physics electrical and electronics department

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2025/2026

Available from 04/10/2026

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04/10/2026 KEDARNATH Y -SR. GR. LECTURER
GPT KALABURAGI
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Self-Induced EMF
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04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Self-Induced EMF

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Self-Induced EMF

When the current flowing through a coil changes, the

magnetic flux linked with the same coil also changes.

This change of flux induces an emf in the same coil

which always opposes the change in current (as per

Lenz’s law).

● When current flows through a coil, it creates a

magnetic field around it.

● If the current changes (increases or decreases), the

magnetic field also changes.

● This changing magnetic field induces an EMF in the

same coil.

● According to Lenz's Law, the induced EMF

opposes the change in current that produced it.

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Mutually Induced EMF

When the current in one coil (called the primary coil)

changes, the magnetic flux produced by it links with a

nearby coil (called the secondary coil). The change of

flux induces an emf in the other coil. This emf is called

mutually induced emf.

Explanation:

● When current in the first coil changes, its magnetic

field changes.

● This changing magnetic field links with the second

coil.

● As a result, an EMF is induced in the second coil.

● This principle is used in Transformer.

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Mutually Induced EMF

Example:

• The operation of a transformer relies

on mutual induction, where the

primary coil's changing current

induces an EMF in the secondary coil

to transfer energy wirelessly or at a

different voltage level.

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Self-Inductance

Self-inductance is the property of a coil (or

circuit) by which it opposes any change in

the current flowing through it by inducing

an emf in the same coil.

Explanation: When the current in a coil

changes, the magnetic flux linked with the

coil also changes. This changing flux

induces an emf in the coil itself. This

induced emf is always in a direction to

oppose the change in current (Lenz’s law).

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Self-Inductance

04/10/2026 KEDARNATH Y -SR. GR. LECTURER
04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Define Mutual inductance

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Coefficient of Mutual Inductance

  • (^) Definition: The coefficient of mutual inductance between two coils is equal to the emf induced in one coil when the rate of change of current in the other coil is 1 ampere per second.
04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Coefficient of Mutual

Inductance

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Problem -

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Problem-

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Problem- 4

04/10/2026 KEDARNATH Y -SR. GR. LECTURER

Problem-