Charges in magnetic fields

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

A charge moving across a magnetic field feels a force at right angles to both its velocity and the field. A charge that is at rest, or moving parallel to the field, feels no force. Because the force is always at right angles to the motion, it does no work: the speed and kinetic energy stay the same and only the direction changes. So a charge entering at right angles moves in a circle.

This circular path is used to measure e/m for the electron.

A moving-coil galvanometer detects small currents. A low resistance (shunt) in parallel turns it into an ammeter. A high resistance in series turns it into a voltmeter.

Rules to remember

Common mistake

Forgetting that the electron is negative. Find the force direction for a positive charge moving the same way, then reverse it.

Worked example

A galvanometer has a resistance of 99 Ω and gives full-scale deflection for 10 mA. What shunt resistance turns it into an ammeter reading up to 1.0 A?

  1. Current through the shunt = I − Ig = 1.0 − 0.010 = 0.99 A.
  2. P.d. across the galvanometer = IgRg = 0.010 × 99 = 0.99 V, and the shunt has the same p.d.
  3. Rs = 0.99 ÷ 0.99 = 1.0 Ω.

Answer: A 1.0 Ω shunt connected in parallel with the galvanometer

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