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Chapter 22: Electromagnetism

22.B: Generating Current

Electric Generator
A device that converts mechanical energy into electrical energy using electromagnetic induction.
Alternating Current (AC)
Electricity characterized by the periodic change of voltage polarity and current direction within a circuit.
Direct Current (DC)
Electricity that flows in a single direction without changing polarity.
Inductance (L)
The property of a conductor that opposes a change in electric current by producing a magnetic field that induces an opposing potential difference.

Alternating Current Generation

  • A simple generator uses a rotating magnet and a loop of wire to induce current.
  • Current alternates direction during each rotation, creating a sine wave pattern.
  • Effective (rms) potential difference: V rms = V max √2
  • Three-phase generators use three pairs of coils for efficient power delivery.

Direct Current Generation

  • Generated using a split-ring commutator to convert AC to DC.
  • DC motors operate by converting electrical energy into mechanical work.
  • Back emf: An induced emf in a motor that opposes the supplied current, reducing overheating risks.

Inductance and Transformers

Inductance Formula
L = n φ I
Transformers
  • Step-up transformer: Increases voltage; secondary has more turns than the primary coil.
  • Step-down transformer: Decreases voltage; secondary has fewer turns than the primary coil.

Applications

  • Power Transmission: High-voltage AC is transmitted over long distances for efficiency.
  • Smart Grids: Advanced electricity distribution systems with improved efficiency and reliability.
  • Induction Heating: Uses eddy currents to heat metal cookware directly.

Questions for Students

  1. Explain the principle of operation for an electric generator.
  2. What is the difference between alternating current and direct current?
  3. State and explain the significance of back emf in DC motors.
  4. Calculate the rms voltage of a generator with a peak voltage of 120 V.
  5. Describe the roles of step-up and step-down transformers in power distribution.