---
title: "Classification by hysteresis loop and applications"
subject: "Electrical Engineering Material"
chapter: 4
key: "semester_3/electrical_engineering_material:classify-by-hysteresis-applications"
source: https://www.bctengineer.com/q/semester_3/electrical_engineering_material/classify-by-hysteresis-applications
site: BCT Engineering
---

# Classification by hysteresis loop and applications

Electrical Engineering Material · Chapter 4: Magnetic Materials

- Asked in: 2068 Shrawan, 8 marks
- Video: [Coercivity & retentivity (Permanent & electromagnets) | Magnetism & matter | Physics | Khan Academy](https://www.youtube.com/watch?v=rGgKK3-wep4) — Khan Academy India - English
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_3/electrical_engineering_material/classify-by-hysteresis-applications
- Whole chapter: https://www.bctengineer.com/md/semester_3/electrical_engineering_material/chapter-4

## Question

Classify magnetic material based on hysteresis loop. Explain the application of such materials.

## Short answer

Based on hysteresis loop, magnetic materials are soft (narrow loop, low Hc, used in transformers, relays), hard (wide loop, high Hc, Br, used in permanent magnets), and square-loop (used for magnetic recording and binary storage).

## Answer

Based on the shape and size of the **hysteresis loop**, magnetic materials are classified into **soft** and **hard** magnetic materials (with square-loop materials as a special group).

```text
        B   soft                   B   hard
        ^   __                     ^   _______
        |  / /                     |  /      /
   -----+-/-/----> H       --------+-/------/----> H
       /-/  |  Hc small      -Hc  / |      /  Hc large
      /_/   |                    /__|_____/
   narrow, tall loop           wide, fat loop
```

#### 1. Soft magnetic materials
- Narrow loop, low coercivity ($H_c$ < $10^3$ A/m), low retentivity, high permeability, small hysteresis loss.
- Easily magnetized and demagnetized; domain walls move freely.
- Examples: soft iron, silicon steel, permalloy, Mumetal, soft ferrites, amorphous alloys.

**Applications**
- Cores of power transformers, motors and generators (silicon steel, CRGO): low loss under alternating flux.
- Relays and electromagnets (soft iron): quick release after the coil is switched off.
- High-frequency transformers, SMPS, RF inductors, antenna rods (soft ferrites): high resistivity, low eddy loss.
- Magnetic shielding and current transformers (permalloy, Mumetal): very high permeability.
- Recording and reading heads (permalloy, ferrite).

#### 2. Hard magnetic materials
- Wide loop, high coercivity ($H_c$ > $10^4$ A/m), high retentivity, large $(BH)_{max}$, large hysteresis loss.
- Hard to magnetize and demagnetize; domain walls are pinned by impurities and fine particles.
- Examples: carbon/tungsten steel, Alnico, NdFeB, SmCo, barium/strontium ferrite.

**Applications**
- Permanent magnets in loudspeakers, microphones and headphones.
- PMDC motors, small generators, magnetos, alternators in bikes.
- Moving-coil meters, energy meters (braking magnet).
- MRI and magnetic separators, magnetic holders and locks.

#### 3. Square-loop (rectangular-loop) materials
- Nearly rectangular loop with two stable states $\pm B_r$ and sharp switching at $H_c$.
- Examples: γ-Fe₂O₃, CrO₂, Mg-Mn ferrites, Co-alloy thin films.
- **Applications**: magnetic tapes, hard disks, magnetic cards, old core memories and magnetic switching devices, where $+B_r$ and $-B_r$ represent binary 1 and 0.

| Feature | Soft | Hard |
|---|---|---|
| Loop | Narrow | Wide |
| $H_c$, $B_r$ | Low | High |
| Loss | Low | High |
| Main use | AC cores, relays | Permanent magnets |

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Based on the hysteresis loop, materials are classified as:
   A. Soft and hard, plus square-loop materials as a special group
   B. Dia, para and ferro
   C. Metals and insulators
   D. Only soft and paramagnetic
   Answer: A. Classification depends on loop shape and size. (Key point: Classes)

2. Why is soft iron used in relays and electromagnets?
   A. High retentivity
   B. Quick release after the coil is switched off
   C. Large (BH)max
   D. Pinned walls
   Answer: B. Low retentivity avoids sticking. (Key point: Soft use)

3. Which are applications of hard materials?
   A. Transformer cores
   B. RF inductors
   C. Loudspeakers, PMDC motors and moving-coil meters
   D. Relay armatures
   Answer: C. They need permanent flux. (Key point: Hard use)

4. Why are square-loop materials used in tapes and disks?
   A. Zero remanence
   B. Narrow loop for low loss
   C. Very high permeability
   D. Two stable states +Br and -Br with sharp switching represent 1 and 0
   Answer: D. The square loop gives clean binary states. (Key point: Square loop)

## Related in Electrical Engineering Material

- [Hard vs soft magnetic materials by hysteresis](https://www.bctengineer.com/question.md?key=semester_3%2Felectrical_engineering_material%3Ahard-soft-hysteresis) — Electrical Engineering Material, chapter 4
- [Classification of magnetic materials by magnetization](https://www.bctengineer.com/question.md?key=semester_3%2Felectrical_engineering_material%3Aclassify-magnetic-materials) — Electrical Engineering Material, chapter 4, asked 6×
- [Applications of soft magnetic materials](https://www.bctengineer.com/question.md?key=semester_3%2Felectrical_engineering_material%3Asoft-magnetic-applications) — Electrical Engineering Material, chapter 4, asked 2×
- [Significance of hysteresis loop](https://www.bctengineer.com/question.md?key=semester_3%2Felectrical_engineering_material%3Ahysteresis-loop-significance) — Electrical Engineering Material, chapter 4, asked 4×
- [Hard vs soft magnetic materials for relays](https://www.bctengineer.com/question.md?key=semester_3%2Felectrical_engineering_material%3Ahard-soft-relay) — Electrical Engineering Material, chapter 4
- [Properties and uses of soft magnetic materials](https://www.bctengineer.com/question.md?key=semester_3%2Felectrical_engineering_material%3Asoft-magnetic-properties-uses) — Electrical Engineering Material, chapter 4

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