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Mutual inductance

Intermediate

Changing current in one coil induces emf in another.

Key relationM = Φ₂/I₁

A changing current in one coil induces an EMF in a nearby coil: ε₂ = −M dI₁/dt. M depends on geometry and coupling.

Worked example

Wireless charging uses mutual inductance.

Common mistake

M₁₂ = M₂₁.

In more detail

Mutual inductance M describes how a changing current in one coil induces an emf in another nearby coil. It is the basis of transformers and wireless charging.

Real-world uses

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Frequently asked questions

What determines M?

The geometry of the coils and how much flux links them.

Can mutual inductance be zero?

Yes, if the coils are placed so their fields do not link.

What determines mutual inductance?

The geometry of the coils and how well the flux from one links the other.

Related topics in Magnetism & Induction

Self-inductance · Inductance of a solenoid · Energy in an inductor · Transformer · Transformer losses · AC generator

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