Electromagnetic Induction
Moving a magnet relative to a coil induces e.m.f. β the basis of all generators.
Electromagnetic induction:
- When the magnetic flux through a conductor changes, an e.m.f. is induced
- If the circuit is complete, an induced current flows
- Requires RELATIVE MOTION between conductor and magnetic field (or changing current in nearby coil)
Ways to induce an e.m.f.:
- Move a magnet into or out of a coil
- Move a conductor in a magnetic field (cutting field lines)
- Change the current in a nearby coil (mutual induction)
- Rotate a coil in a magnetic field (AC generator)
Faraday's Law:
The magnitude of the induced e.m.f. is proportional to the rate of change of magnetic flux.
- Faster motion β greater rate of change β greater e.m.f.
Lenz's Law:
The direction of the induced current is such that it opposes the change that caused it.
- If magnet moves into coil: induced current creates a magnetic field that repels the magnet (opposing entry)
- If magnet moves out: induced current attracts the magnet back (opposing exit)
- This is a consequence of conservation of energy β you must do work to move the magnet
Factors that increase the induced e.m.f.:
- Move the magnet faster (greater rate of change of flux)
- Use a stronger magnet (greater flux density)
- Use a coil with more turns (more flux linkage)
- Use a larger coil (greater area β more flux)
Fleming's Right-Hand Rule (generator effect):
- For a conductor moving in a magnetic field
- Right hand: First finger = Field; seCond finger = induced Current; thuMb = Motion
- Opposite hand to left-hand (motor) rule
Demonstrating induction:
- Move magnet into solenoid β galvanometer deflects β induced current
- Hold magnet still β no deflection (no change in flux)
- Pull magnet out β galvanometer deflects in opposite direction
- Changing flux β induced e.m.f. (Faraday). Greater rate β greater e.m.f.
- Lenz's law: induced current opposes the change (energy conservation).
- Right-hand rule (generators): First = Field, seCond = Current, thuMb = Motion.