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The magnetic force on a charge \( Q \) moving with velocity \( \mathbf{v} \) is

  • A.\( Q\mathbf{v} \times \mathbf{B} \)
  • B.\( Q\mathbf{v} \cdot \mathbf{B} \)
  • C.\( Q\mathbf{B}/\mathbf{v} \)
  • D.\( Q\mathbf{B} \)

Answer: A

The cross product makes the force perpendicular to both the velocity and the field, so it changes the direction of motion but never the speed. Adding the electric term \( Q\mathbf{E} \) gives the complete Lorentz force.

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