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Magnetic Fields in Physics

The magnetic force has one strange habit that explains most of this topic. It never does work, because it always acts at right angles to the motion, so it can steer a charged particle but it can never speed it up or slow it down. That is why a particle moving across a field goes round a circle at a constant speed, and why the time for one circuit does not depend on how fast it happens to be going. The blocks start from the force law, then follow the paths it produces and the devices that exploit them, such as the velocity selector and the mass spectrometer, before moving to the force on a current and the twisting effect that turns a coil into a motor.

Magnetic force on a moving charge

Given

  • (C)
  • (m/s)
  • (T)
  • (rad)
Magnetic force written as a vector product

Given

  • (C)
  • (m/s)
  • (T)
Radius of the circular path of a charged particle in a magnetic field

Given

  • (kg)
  • (m/s)
  • (C)
  • (T)
Period of a charged particle circling in a magnetic field

Given

  • (kg)
  • (C)
  • (T)
Angular frequency of a charged particle in a magnetic field

Given

  • (C)
  • (T)
  • (kg)
Radius of the path of a particle accelerated through a potential difference

Given

  • (kg)
  • (V)
  • (C)
  • (T)
Speed selected by crossed electric and magnetic fields

Given

  • (V/m)
  • (T)
Magnetic force on a straight current-carrying conductor

Given

  • (T)
  • (A)
  • (m)
  • (rad)
Magnetic dipole moment of a coil

Given

  • (A)
  • (m²)
Torque on a current-carrying coil in a magnetic field

Given

  • (A m²)
  • (T)
  • (rad)
Potential energy of a current-carrying coil in a magnetic field

Given

  • (A m²)
  • (T)
  • (rad)
Hall voltage across a current-carrying strip in a magnetic field

Given

  • (A)
  • (T)
  • (1/m³)
  • (C)
  • (m)