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Electricity & Magnetism
Electricity & Magnetism

Mutual Inductance EMF

E=−MdIdt\mathcal{E} = -M\frac{dI}{dt}

EMF induced in one coil due to changing current in another.

Variables

ε
Induced EMF
EMF in secondary coil
V
M
Mutual inductance
Mutual inductance
H
dI/dt
Current rate
Rate of current change in primary
A/s

Derivation

ε₂ = -dΦ₂₁/dt = -M(dI₁/dt) where Φ₂₁ = MI₁.

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Common questions

What is the Mutual Inductance EMF formula?

Mutual Inductance EMF is written mathcal{E} = -MdI/dt. EMF induced in one coil due to changing current in another. It belongs to Electricity & Magnetism, under Electromagnetic Induction.

What are the units in mathcal{E} = -MdI/dt?

In SI units, ε is induced emf, measured in kg·m²/(A·s³); M is mutual inductance, measured in kg·m²/(A²·s²); dI/dt is current rate, measured in A/s.

How is the Mutual Inductance EMF formula derived?

ε₂ = -dΦ₂₁/dt = -M(dI₁/dt) where Φ₂₁ = MI₁. The result is mathcal{E} = -MdI/dt.