Certify66
← Back to Electrical Fundamentals
Section 3.12

DC Motor & Generator Theory

The motor effect F = BIL and Fleming's rules; construction and operation of DC generators and motors; the commutator; armature reaction; back-EMF; series, shunt and compound machines.

Notes

DC motors & generators — summary notes

Free
Main ideas
  • The motor effect: a current-carrying conductor in a magnetic field experiences a force F = B·I·L.
  • Fleming's LEFT-hand rule applies to motors; Fleming's RIGHT-hand rule applies to generators. (Left for Lorry/motion produced, right for generation.)
  • A commutator and brushes reverse the armature connections every half revolution, so the torque continues to act in the same direction.
  • As a motor speeds up, its armature acts as a generator and produces a back-EMF that opposes the supply and limits armature current.
  • Starting current is high because at rest there is no back-EMF — only the small armature resistance limits it.
  • Motor types: series (high starting torque, used for starters), shunt (near-constant speed), and compound (a combination).
  • ⚠ Exam trap: LEFT = motor, RIGHT = generator. Back-EMF is greatest at full speed and zero at the instant of starting — which is why starting current is so large.
Key formulas
Force on a conductor
F = B · I · L (newtons)
Generated EMF
EMF = B · L · v
Back-EMF
E_b = V − I_a·R_a
Solved examples
  1. A conductor 0.5 m long carries 10 A at right angles to a field of 0.8 T. What force acts on it?

    F = B·I·L = 0.8 × 10 × 0.5 = 4 N.

  2. Why does a DC motor draw a very large current at the instant of starting?

    Back-EMF is proportional to speed. At rest the speed is zero, so there is no back-EMF and only the low armature resistance limits the current. As the motor accelerates, back-EMF builds and the current falls.

Simulation

The DC motor (3D) — why the commutator matters

Free
The DC Motor (3D) — Why the Commutator MattersFull screen ↗
Loading simulation…
Simulation

The DC motor — 2D force diagram

Pro

This simulation is part of Engineer

Upgrade to unlock every quiz, mock exam and advanced simulation across all modules. Notes and mind maps stay free.

Unlock with Engineer
Mind map

DC machines concept map

Free

DC Motors & Generators

Quiz

DC motors & generators quiz

Pro

This quiz is part of Engineer

Upgrade to unlock every quiz, mock exam and advanced simulation across all modules. Notes and mind maps stay free.

Unlock with Engineer