PhysRefPhysics reference
Electricity & Magnetism
E=−dΦBdt\mathcal{E} = -\frac{d\Phi_B}{dt}

Induced EMF equals negative rate of flux change.

Variables

ε
Induced EMF
Electromotive force
V
Φ_B
Magnetic flux
Through loop
Wb
t
Time
Time
s

Derivation

One of Maxwell's equations. Negative sign from Lenz's law.

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Common questions

What is the Faraday's Law formula?

Faraday's Law is written mathcal{E} = -dΦ_B/dt. Induced EMF equals negative rate of flux change. It belongs to Electricity & Magnetism, under Electromagnetic Induction.

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

In SI units, ε is induced emf, measured in kg·m²/(A·s³); Φ_B is magnetic flux, measured in kg·m²/(A·s²); t is time, measured in s.

How is the Faraday's Law formula derived?

One of Maxwell's equations. Negative sign from Lenz's law. The result is mathcal{E} = -dΦ_B/dt.