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## Homework Statement

*If an electron is stationary in a magnetic field, will it experience a Lorentz force?*

## Homework Equations

## The Attempt at a Solution

The total vector force (Lorentz force - F) is

F = Fe + Fm = Q(E + u X B)

The Lorentz force can also be written in terms of Newton’s law such that

F = ma = m (du/dt) = Q(E + u X B)

∴ Since the electron is stationary, acceleration equals zero and the so the electron

*does not*experience a Lorentz Force.