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Physics · University

Magnetic force magnitude

The stated velocity is perpendicular to the magnetic field. Magnetic force does no work on the point charge.

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Method and conditions

The stated velocity is perpendicular to the magnetic field. Magnetic force does no work on the point charge.

F = |q|vB sin θ

Worked examples

A charge of magnitude 7 μC travels at 13 m/s perpendicular to B=1.8 T. Find magnetic force magnitude in μN. Round the final result to 4 decimal places if needed. Answer in μN.

At 90°, sin θ=1. The micro prefix in charge and requested force cancel numerically.

163.8 μN

A charge of magnitude 5 μC travels at 17 m/s perpendicular to B=3 T. Find magnetic force magnitude in μN. Round the final result to 4 decimal places if needed. Answer in μN.

At 90°, sin θ=1. The micro prefix in charge and requested force cancel numerically.

255 μN

Try it

  1. A charge of magnitude 11 μC travels at 3 m/s perpendicular to B=2.5 T. Find magnetic force magnitude in μN. Round the final result to 4 decimal places if needed. Answer in μN.

  2. A charge of magnitude 16 μC travels at 21 m/s perpendicular to B=1.5 T. Find magnetic force magnitude in μN. Round the final result to 4 decimal places if needed. Answer in μN.

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Answers and marking notes
  1. 82.5 μN

    At 90°, sin θ=1. The micro prefix in charge and requested force cancel numerically.

  2. 504 μN

    At 90°, sin θ=1. The micro prefix in charge and requested force cancel numerically.

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