JEE Main 2020 · 2 September · morning · Single correct · +4 / −1

Magnetic materials used for making permanent magnets (P) and magnets in a transformer (T) have different properties of the following, which property best matches for the type of magnet required?

  1. (a) T : Large retentivity, small coercivity
  2. (b) P : Large retentivity, large coercivity
  3. (c) P : Small retentivity, large coercivity
  4. (d) T : Large retentivity, large coercivity
Answer and solution

Answer (b) P : Large retentivity, large coercivity

Solution

Physics sir · 4 steps

Ask what each magnet must do: a permanent magnet must hold on, a transformer core must let go every cycle.

  1. Two loop properties. Retentivity is the magnetisation left once the magnetising field is switched off. Coercivity is the reverse field needed to wipe that magnetisation out.
  2. Permanent magnet. It must stay strongly magnetised with no current around it, so it needs large retentivity. Stray fields, knocks and heat should not demagnetise it, so it needs large coercivity too.
  3. Transformer core. With AC, the core is magnetised and demagnetised every cycle. Each cycle wastes energy equal to the hysteresis loop area, so the core needs a thin loop: small retentivity and small coercivity.
    PropertyPermanent magnet (P)Transformer core (T)
    Retentivitylargesmall
    Coercivitylargesmall
    Hysteresis loopwidenarrow (low energy loss)
    Typical materialsteel, alnicosoft iron
  4. So. Only (b) matches. A permanent magnet needs large retentivity and large coercivity.

The idea to keep. Permanent magnet: wide hysteresis loop, so large retentivity and large coercivity. Electromagnet or transformer core: narrow loop, so small values of both and low energy loss per cycle.

Answer from the NTA final answer key. Solution by PrepWiser.

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Asked about 60 times in JEE Main since 2020. This question is from 2020.