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6 August, 21:38

A proton is projected with a velocity of 7.0 km/s into a magnetic field of 0.60 T perpendicular to the motion of the proton. What is the magnitude of the magnetic force that acts on the proton? (e = 1.60 * 10-19 C)

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  1. 7 August, 01:25
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    6.72 x 10⁻¹⁶ N

    Explanation:

    v = speed of the proton moving through the magnetic field = 7 km/s = 7000 m/s

    B = magnitude of magnetic field in the region = 0.60 T

    q = magnitude of charge on the proton = 1.6 x 10⁻¹⁹ C

    θ = Angle of magnetic field with the velocity of proton = 90

    F = magnitude of magnetic force

    magnitude of magnetic force is given as

    F = q v B Sinθ

    F = (1.6 x 10⁻¹⁹) (7000) (0.60) Sin90

    F = 6.72 x 10⁻¹⁶ N
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