Magnetic fields and forces

MDCAT Physics · Physics · Electromagnetism. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Every electric current has a magnetic field around it. Round a long straight wire the field lines are circles centred on the wire, and the right-hand grip rule gives their direction: thumb along the current, fingers curl with the field. Inside a long solenoid the field is strong and uniform, along the axis.

A current-carrying wire in a magnetic field feels a force at right angles to both the wire and the field. The force is greatest when the wire is at right angles to the field and zero when it is parallel to it.

Two parallel wires act on each other with equal and opposite forces: currents in the same direction attract, currents in opposite directions repel.

Rules to remember

Common mistake

Putting the total number of turns N into B = μ0nI. Here n is turns per metre, so divide N by the length of the solenoid in metres first.

Worked example

A wire 0.30 m long carries a current of 4.0 A and lies at 30° to a uniform magnetic field of 0.50 T. What is the force on the wire?

  1. F = BIL sin θ.
  2. F = 0.50 × 4.0 × 0.30 × sin 30° = 0.60 × 0.50.
  3. F = 0.30 N.

Answer: 0.30 N, at right angles to both the wire and the field

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