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Electricity & Magnetism
E=BLv\mathcal{E} = BLv

EMF induced in moving conductor.

Variables

ε
Induced EMF
Electromotive force
V
B
Magnetic field
Field strength
T
L
Length
Conductor length
m
v
Velocity
Speed of conductor
m/s

Derivation

From Faraday's law: ε = -dΦ/dt = BL(dx/dt) = BLv.

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Common questions

What is the Motional EMF formula?

Motional EMF is written mathcal{E} = BLv. EMF induced in moving conductor. It belongs to Electricity & Magnetism, under Electromagnetic Induction.

What are the units in mathcal{E} = BLv?

In SI units, ε is induced emf, measured in kg·m²/(A·s³); B is magnetic field, measured in kg/(A·s²); L is length, measured in m; v is velocity, measured in m/s.

How is the Motional EMF formula derived?

From Faraday's law: ε = -dΦ/dt = BL(dx/dt) = BLv. The result is mathcal{E} = BLv.