A particle of charge 21 Mu C and mass 1.4 X 10^-15 kg moves at a speed of 2065 m

Question

A particle of charge 21 Mu C and mass 1.4 X 10^-15 kg moves at a speed of 2065 m/s, and its velocity vector lies in the x?y plane. There is a magnetic field of magnitude 0.90 T along the +z direction. The magnetic force on the particle causes the particle to move in a circle that lies in the x?y plane. (a) Find the radius of this circle. m (b) Find the period of the motion. s (c) If the particle is moving parallel to +y at t = 0, is the circular motion clockwise or is it counterclockwise as viewed from along the i-z axis? clockwise counterclockwise

Explanation / Answer

Note that

r = m v / [q B]

Thus,

r = 1.53*10^-7 m [ANSWER, PART A]

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The period of motion is

T = 2 pi R / v

Thus,

T = 4.65*10^-10 s   [ANSWER]

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CLOCKWISE, BY RIGHT HAND RULE. [ANSWER, PART C]

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