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right hand rule

PhysicsMagnetismElectromagnetism

Summary

The right hand rule gives the direction of the magnetic force on a moving positive charge (fingers along v, curl toward B, thumb along F) and of the field around a current-carrying wire. For a negative charge, reverse the force direction.

Detail

Meaning: The right hand rule gives the direction of a cross product. For the magnetic force on a moving positive charge, point your fingers along the velocity v, curl them toward the field B, and your thumb points along the force F. For a negative charge, the force is opposite. The force is perpendicular to both v and B, so it does no work. A second use: for a straight current-carrying wire, point the thumb along the conventional current and the fingers curl in the direction of the circular field lines.

Equation: F = qvB sinθ, where F is the force (N), q is the charge (C), v is the speed (m/s), B is the magnetic field (T), and θ is the angle between v and B.

On the MCAT: Expect questions on which way a proton, electron, or wire segment is deflected, or how a charge curves (qvB = mv²/r when v ⟂ B), as in mass spectrometers. Parallel wires with currents in the same direction attract.

Common confusion: Forgetting to reverse the result for an electron; the rule as stated gives the force on a positive charge. Also, the force is not along v or B, and it is zero when v is parallel or antiparallel to B because sinθ = 0.

Sources

  • Physics
  • Fundamentals of Physics
  • University Physics

Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.