Question

A charged particle of mass m and charge q moving in an electric field e has an acceleration a given by , where q and e are constants. Find.

Answer 1

The acceleration of the particle at the given charge, electric field and mass is $\frac{qE}{m}$.

The given parameters;

• mass of the particle, = m
• charge of the particle, = q
• electric field, = E

The acceleration of the particle is calculated as follows;

Newton's second law : F = ma

Coulomb's force: F = qE

Equate the two forces as follows;

$ma = qE\\\\a = \frac{qE}{m}$

Thus, the acceleration of the particle at the given charge, electric field and mass is $\frac{qE}{m}$.

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