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16 April, 13:59

A charged particle moves through a magnetic field. In which situation is the magnetic force zero?

a. When the particle moves in the direction of the magnetic field vector.

b. When the particle moves perpendicular to a magnetic field line.

c. When the particle moves perpendicular to the magnetic field vector.

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Answers (1)
  1. 16 April, 14:09
    0
    The answer is the option a.

    Explanation:

    We know that magnetic force (Fm) is defined as

    Fm = q (v x B)

    Where q is a the value of the charge, v is the velocity of the charge and B is the value of the magnetic field.

    "v x B" is defined as the cross product between the vectors velocity and magnetic field, and if the angle between them is thetha < 180°, then, the cross product is

    v x B = vBsin (thetha)

    So,

    Fm = qvBsin (thetha)

    And, in case in which v and B are parallel vectors, thetha is zero, and,

    sin (thetha) = sin (0) = 0

    So, Fm=0
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