Question

Using Newton's second law, the acceleration of an electron in an electric field E and mass m is expressed as:

Options

• \[a = \frac{m}{eE}\]

• \[a = \frac{E}{em}\]

• \[a = \frac{eE}{m}\]

• \[a = eEm\]

Answer 1

From Newton's second law, \[F = ma\], and substituting \[F = eE\], we obtain \[a = \frac{F}{m} = \frac{eE}{m}\]. This shows that acceleration is directly proportional to the electric field and charge, and inversely proportional to the electron's mass.