Answer:
F = 1.608 x 10⁻¹⁴ N
Explanation:
Given,
The velocity of the electron, v = 10⁷ m/s
The electric field intensity, E = 10⁵ V/m
The magnetic flux density, B = 0.5 gauss
= 5 x 10⁻⁵ tesla
The magnitudes of the electric and magnetic forces on an electron is given by the Lorentz force,
F = q (E + v x B)
Substituting the given values,
F = 1.6 x 10⁻¹⁹ (10⁵ + 10⁷ x 5 x 10⁻⁵)
F = 1.608 x 10⁻¹⁴ N
Hence, the magnitudes of the electric and magnetic forces on an electron is, F = 1.608 x 10⁻¹⁴ N
