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25 February, 10:10

two electrons are located in a region of space where the magnetic field is zero. Electron A is at rest; and electron B is moving westward with a constant velocity. A non zero magnetic field directed eastward is then applied to the region. In what direction, if any will each electron be moving after the field is applied?

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  1. 25 February, 11:35
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    Electron A It remains stationary, while electron B continues moving westward

    Explanation:

    The force acting on each electron is given by F = Bevsinθ where B = magnetic field strength, v = velocity of electron, e = electron charge and θ = angle between B and v

    Force electron A, v = 0, and θ = unknown, so F = Be * 0 * sinθ = 0.

    So, no force acts on it and thus, it does not move. It remains stationary.

    Force electron B, v = constant, acceleration, a = 0 and θ = 180, so F = Bevsin180 = 0.

    So, no net force acts on it and thus, it does not change direction. It continues moving westward.
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