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PRACTICE / Charged-particle circular motion

A voltage sets the later orbit size

A positive nonrelativistic particle has charge-to-mass ratio q/m = 2 C/kg. It starts from rest, accelerates through a potential drop of 9 V, then enters a uniform 0.50 T field perpendicular to its velocity.

Find its circular orbit radius in the magnetic field.

Organize the givens & assumptions
  • q/m = 2 C/kg
  • potential drop = 9 V
  • B = 0.50 T

Nonrelativistic test particle, initially at rest; uniform magnetic field perpendicular to entry velocity; neglect gravity and radiation.

  1. A3 m3\ \mathrm m
  2. B12 m12\ \mathrm m
  3. C36 m36\ \mathrm m
  4. D6 m6\ \mathrm m

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