Q.Two ferromagnetic materials, X and Y, are magnetised through a full hysteresis cycle: X shows a retentivity of 1.4 T and a coercivity of 100 A/m, while Y shows a retentivity of 1.0 T and a coercivity of 5000 A/m. State, with reasons, which material is better suited for making a transformer core and which for making a permanent magnet.
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Hysteresis: The Memory of a Magnet
Imagine you push a heavy box across a rough floor. You shove it forward — it moves. You stop pushing — it stays where it is, not sliding back. To return it to the starting point, you have to push it backward, and even then it resists. The box "remembers" where it was last pushed, and the path you take to move it forward is not the same as the path you take to bring it back.
That lag — the dependence of where the box is on its history, not just on the force you apply right now — is the core of hysteresis.
The Intuition: Why a Ferromagnet Lags Behind
A ferromagnetic material (like iron) is made of tiny magnetic domains — regions where atomic magnetic moments are already aligned. In an unmagnetised state, these domains point in random directions, so the net magnetic field B inside the material is zero.
Now you apply an external magnetic field H (say, from a solenoid). The domains that are already aligned with H grow; the others shrink and rotate. The material becomes magnetised — B rises. But the domains do not move freely. They are pinned by impurities, grain boundaries, and internal stresses. They resist change.
When you increase H to a large value, all domains align — the material is saturated. Now you reduce H back to zero. Do the domains return to random directions? No. Many stay locked in their new alignment because the pinning forces hold them. The material retains a net magnetisation even with no external field. That leftover B is called retentivity (or remanence).
To force the domains back to randomness — to bring B to zero — you must apply a field in the opposite direction. The magnitude of that reverse field needed to demagnetise the material is called coercivity.
The B–H Loop: The Precise Picture
Plot B (magnetic flux density inside the material) against H (applied magnetic field). Start from an unmagnetised sample at the origin.
- Rise to saturation: Increase H from zero. B rises steeply at first (domains grow easily), then flattens as saturation approaches. Call this point S.
- Reduce H to zero: B does not retrace the rising curve. It falls more slowly, and at H=0, B=Br — the retentivity.
- Reverse H: Apply H in the opposite direction. B continues to fall, crossing zero at H=−Hc — the coercivity.
- Reverse saturation: Continue increasing reverse H until the material saturates in the opposite direction (point −S).
- Return to H=0: Reduce reverse H to zero. B now sits at −Br.
- Back to forward H: Increase H again. B crosses zero at +Hc and eventually rejoins the original saturation curve at S.
The curve does not close on itself on the first cycle. But after a few cycles, it traces a closed, symmetric loop — the hysteresis loop.
Area of B–H loop=∮HdB=Energy lost per cycle per unit volume …
X (low coercivity) suits a transformer core; Y (high retentivity + high coercivity) suits a permanent magnet. …
Given: X has retentivity 1.4 T, coercivity 100 A/m; Y has retentivity 1.0 T, coercivity 5000 A/m.
A transformer core is cycled through magnetisation reversal many times per second, so it needs a material with a THIN B-H loop -- LOW coercivity above all, so that little energy is dissipated as heat on every reversal (Section 1.12). Material X's coercivity (100 A/m) is far lower than Y's (5000 A/m), so X is the better transformer-core material, even though its retentivity is (irrelevantly, for this application) higher than Y's. …
Identify which single property (coercivity, for repeated-cycling loss) matters most for each application, t …
- Picking the material with the higher retentivity for BOTH applications -- retentivity alone does not decide suitability for a transform …
- CBSE 2026Set ANNUAL1 markMCQQ.Which of the following materials is most suitable for making a permanent magnet?(a) Soft iron(b) Nickel(c) Copper(d) Steel
›Reveal solutionSolution
A good permanent-magnet material needs BOTH high retentivity (keeps a strong magnetisation) and high coercivity (hard to demagnetise); steel has both.
A permanent magnet must retain its magnetism over time and resist being demagnetised by stray fields, knocks, or heat. This needs a material with:
- High retentivity: it keeps a large magnetisation even after the magnetising field is removed.
- High coercivity: a large reverse field is needed to bring its magnetisation back to zero (the material is magnetically 'hard'). …
- CBSE 2025Set ANNUAL1 markQ.What is value of B called, when H = 0 is in the hysteresis loop?
›Reveal solutionSolution
On the hysteresis loop, the B-value left behind after H is reduced to zero is the retentivity of the material.
In the B–H hysteresis loop of a ferromagnetic material, as the magnetising field H is reduced from its maximum value back to zero, the magnetic induction B does not fall to zero but retains a finite value because of hysteresis (lag). This residual value of B when H=0 is called the retentivity or **residual magnetis …
- CBSE 2024Set A1 markMCQQ.Which of the following shows hysteresis? (A) Paramagnetic materials (B) Ferromagnetic materials (C) Diamagnetic materials (D) None of these
›Reveal solutionSolution
Hysteresis (the B–H loop, with retentivity and coercivity) is a property of ferromagnetic materials.
Hysteresis is the phenomenon in which the magnetisation B of a material lags behind the applied field H, so that when H is cycled the B–H curve traces a closed loop. This lag arises from the irreversible motion of magnetic domains, which exist only in ferromagnetic materials (iron, cobalt, nickel and their alloys).
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- CBSE 2024Set ANNUAL1 markQ.Why do we prefer steel for making permanent magnets ?
›Reveal solutionSolution
A good permanent-magnet material needs both high retentivity and high coercivity — steel has both.
A permanent magnet should (i) retain a strong magnetic field even after the magnetising field is removed (high retentivity), and (ii) not lose its magnetism easily due to stray fields, mechanical shocks or temperature changes (high coercivity, i.e. it resists demagnetisation). Steel has both high retentivity and high coercivity (unlike soft iron, which has high retentivity but very low coercivity — it loses magnetism as soon as the field is remov …
- CBSE 2023Set ANNUAL1 markQ.Write two characteristics of a material to produce a permanent magnet.
›Reveal solutionSolution
A good permanent-magnet material must retain a strong magnetisation after the magnetising field is removed AND resist being demagnetised - i.e. it needs both high retentivity and high coercivity.
Retentivity (residual magnetism) is the magnetisation that remains in the material after the external magnetising field is switched off to zero - it must be HIGH so the magnet stays strongly magnetised. Coercivity is the reverse field needed to bring the magnetisation back to zero - it must also be HIGH so that stray fields, heat, or mechanical shock …
- CBSE 2023Set ANNUAL1 markMCQQ.Soft iron is used to make the core of transformer because of its ______.(a) low coercivity and low retentivity(b) low coercivity and high retentivity(c) high coercivity and high retentivity(d) high coercivity and low retentivity
›Reveal solutionSolution
A transformer core must remagnetise every AC half-cycle with minimal hysteresis loss.
A transformer core is driven around its hysteresis loop 50 times a second, and the hysteresis-loss per cycle is proportional to the loop's area. Soft iron has a narrow hysteresis loop: low coercivity (needs very little reverse field to demagnetise, so little energy is wasted reversing the field) and low retentivity (loses most of its magnetisation as soon as the field is removed, tracking the AC current faithfully instead of la …
- CBSE 2018Set ANNUAL1 markMCQQ.The material of a permanent magnet should have(a) high retentivity and low coercivity(b) low retentivity and high coercivity(c) low retentivity and low coercivity(d) high retentivity and high coercivity.
›Reveal solutionSolution
A good permanent magnet needs BOTH high retentivity (keeps its magnetism) and high coercivity (resists demagnetization) — steel is the classic example.
Retentivity is the residual magnetization (B or M) that remains in a material after the external magnetizing field is reduced to zero. A permanent magnet must retain as much magnetism as possible once magnetized, so it needs high retentivity.
Coercivity is the reverse magnetic field required to bring the residual magnetization down to zero. A permanent magnet should not lose its magnetism easily when exposed to stray external fields, vibrations, or moderate temperature changes, so it needs high coercivity as well.
…
- CBSE 2018Set ANNUAL1 markQ.Draw hysteresis curve (B-H curve) for a ferromagnetic substance.
›Reveal solutionSolution
The hysteresis curve is a closed B–H loop showing that B lags behind H, with retentivity and coercivity marking the loop's intercepts.
Hysteresis bh loop ferromagnetic material retentivity coercivity saturation Description of the curve to draw (axes: horizontal = magnetising field H, vertical = flux density B):
- Starting from the origin O, as H increases, B increases along OA and reaches saturation at point A.
- As H is reduced back to zero, B does not retrace OA but follows AB, so at H = 0 there is a residual flux density OB = Br called retentivity (remanence).
- To reduce B to zero, a reverse field must be applied; the value OC of reverse H at which B = 0 is the coercivity (Hc). …
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