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Section 3.10

Magnetism

Theory of magnetism; properties of a magnet; magnetic field around a conductor and the right-hand grip rule; magnetomotive force, flux, flux density and permeability; the hysteresis loop; eddy currents and lamination.

Notes

Magnetism, summary notes

Main ideas
  • Magnetic field lines run from north to south OUTSIDE the magnet and south to north inside it. They never cross.
  • Like poles repel, unlike poles attract.
  • Magnetomotive force MMF = N × I (ampere-turns) drives flux around a magnetic circuit, the magnetic analogue of EMF.
  • Flux Φ is measured in webers. Flux density B = Φ / A is measured in teslas. Permeability μ = B / H describes how easily a material carries flux.
  • The hysteresis loop shows retentivity (remanence), coercive force, and saturation. Soft iron has a narrow loop and low loss; hard steel has a wide loop and makes permanent magnets.
  • Eddy currents circulating in a solid core waste energy as heat, so cores are laminated to break up the current paths.
  • The right-hand grip rule gives field direction: thumb along conventional current, fingers curl in the direction of the field.
  • ⚠ Exam trap: flux Φ (webers) is not the same as flux density B (teslas). B is flux per unit area.
Key formulas
Magnetomotive force
MMF = N × I (ampere-turns)
Flux density
B = Φ / A (teslas)
Field strength
H = NI / l (ampere-turns per metre)
Permeability
μ = B / H
Solved examples
  1. A coil of 500 turns carries 2 A. What is the magnetomotive force?

    MMF = N × I = 500 × 2 = 1000 ampere-turns.

  2. A flux of 0.006 Wb passes through a pole face of 0.003 m². Find the flux density.

    B = Φ / A = 0.006 / 0.003 = 2 T.

Mind map

Magnetism concept map

Magnetism

Quiz

Magnetism quiz

Magnetism, quiz

Ref 3.1010 of 12Pass 75%
  1. 1. A coil of 200 turns carries 3 A. Its magnetomotive force is:

    600 ampere-turns
    66.7 ampere-turns
    203 ampere-turns
  2. 2. The left-hand rule (Fleming's) applied to a current-carrying conductor in a magnetic field gives the direction of:

    The force on the conductor
    The induced EMF
    The magnetic flux
  3. 3. Outside a bar magnet, magnetic field lines run:

    From north to south
    From south to north
    In both directions equally
  4. 4. A coil of 500 turns carries 2 A. The magnetomotive force is:

    1000 ampere-turns
    250 ampere-turns
    502 ampere-turns
  5. 5. Flux density B is measured in:

    Teslas
    Webers
    Henries
  6. 6. A flux of 0.006 Wb passes through 0.003 m². The flux density is:

    2 T
    0.5 T
    18 T
  7. 7. Transformer and machine cores are laminated in order to:

    Reduce eddy-current losses
    Increase the flux density
    Reduce copper losses
  8. 8. The ability of a material to retain magnetism after the field is removed is called:

    Retentivity
    Coercivity
    Permeability
  9. 9. The right-hand grip rule relates:

    Current direction to magnetic field direction
    Force to motion in a generator
    Voltage to current in a resistor
  10. 10. Permeability μ is defined as:

    B / H
    H / B
    N × I