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25 April, 13:59

t the equator, near the surface of Earth, the magnetic field is approximately 50.0 μT northward and the electric field is about 100 N/C downward in fair weather. Find the gravitational, electric, and magnetic forces on an electronwith an instantaneous velocity of 6 x106m/s directed to the east in this environment

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  1. 25 April, 14:18
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    Given that,

    Magnetic field B = 50.0 μT

    B = 50 * 10^-6 T

    Electric field E = 100N/C

    Instantaneous speed of electron

    V = 6*10^6 m/s

    Charge of an electron

    q = 1.609*10^-19C

    Mass of an electron is

    m = 9.11*10^-31kg

    A. Formula to calculate the gravitational force is given as

    F = mg

    F = 9.11*10^-31 * 9.81

    F = 8.94 * 10^-30 N.

    The gravitational force is 8.94*10^-30 N upward

    B. Formula to calculate the electric force is given as

    F = qE

    F = 1.609 * 10^-19 * 100

    F = 1.609 * 10^-17 N.

    The electric force is 1.609 * 10^-17 N, upward

    C. Formula to calculate the magnetic force is given as

    F = qVB

    F = 1.609 * 10^-19*6*10^6*50*10^-6

    F = 4.83 * 10^-17 N

    The magnetic force is 4.83*10^-17N, downward
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