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17 December, 08:59

An electron is moving at 7.4 x 10^5 m/s perpendicular to a magnetic field. It experiences a force of - 2.0 x 10^-13 N. What is the magnetic field strength?

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  1. 17 December, 11:16
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    Answer: B = 1.69 T

    Explanation: Given that the

    Electron velocity V = 7.4 * 10^5 m/s

    Force F = - 2 * 10^-13 N

    Charge q = - 1.602 x 10-19 C.

    We are given the charge, its velocity, and the magnetic field strength and direction. We can thus use the equation F = qvB sin θ.

    Since the electron is moving perpendicular to a magnetic field,

    sin θ = sin 90 = 1, therefore

    - 2 * 10^-13 = - 1.602*10^-19 * 7.4*10^5B

    B = - 2*10^-13/1.2*10^-13

    B = 1.68708T

    B = 1.69 T
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