Electricity & Magnetism

Magnetic Force on Charge

F=qvBsinθF = qvB\sin\theta

Magnetic force on moving charge (Lorentz force).

Variables

F
Magnetic force
Force on charge
N
q
Charge
Moving charge
C
v
Velocity
Speed of charge
m/s
B
Magnetic field
Field strength
T
θ
Angle
Between v and B
°

Derivation

F = qv × B, magnitude |F| = qvB sin θ.

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Common questions

What is the Magnetic Force on Charge formula?

Magnetic Force on Charge is written F = qvBsinθ. Magnetic force on moving charge (Lorentz force). It belongs to Electricity & Magnetism, under Magnetism.

What are the units in F = qvBsinθ?

In SI units, F is magnetic force, measured in kg·m/s²; q is charge, measured in A·s; v is velocity, measured in m/s; B is magnetic field, measured in kg/(A·s²); θ is angle, measured in rad.

How is the Magnetic Force on Charge formula derived?

F = qv × B, magnitude |F| = qvB sin θ. The result is F = qvBsinθ.