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29 January, 05:44

Compare the magnitudes of the electric and magnetic forces on an electron that has attained a velocity of 107 m/s. Assume an electric field intensity of 105 V/m, and a magnetic flux density associated with that of the Earth's magnetic field in temperate latitudes, 0.5 gauss.

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  1. 29 January, 07:23
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    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
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