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Diamagnetic, paramagnetic, and ferromagnetic responses, along with a hysteresis loop

Sujoy Das
15 Feb 0 0

Definition:

Diamagnetic materials are weakly repelled by a magnetic field and have no permanent magnetic moment.

Key Points:

  • No unpaired electrons → net magnetic moment = 0

  • Magnetization (MMM) is opposite to applied field HHH

  • Magnetic susceptibility (χ\chiχ) is negative

χ<0\chi < 0χ<0

Examples:

  • Copper (Cu), Bismuth (Bi), Water (H₂O), Gold (Au)

Behavior in Magnetic Field:

  • Slightly repelled

  • Cannot retain magnetization

Diagram:

 
H → M ← (opposite direction)

🔹 2️⃣ Paramagnetic Materials

✅ Definition:

Paramagnetic materials are weakly attracted by a magnetic field and do not retain magnetization.

Key Points:

  • Some unpaired electrons → small net magnetic moment

  • Magnetization (MMM) aligns with applied field HHH

  • Magnetic susceptibility (χ\chiχ) is positive

χ>0\chi > 0χ>0

Examples:

  • Aluminium (Al), Oxygen (O₂), Magnesium (Mg)

Behavior in Magnetic Field:

  • Weak attraction

  • Cannot retain magnetization once field is removed

Diagram:

 
H → M → (same direction)

🔹 3️⃣ Ferromagnetic Materials

✅ Definition:

Ferromagnetic materials are strongly attracted by a magnetic field and can retain magnetization.

Key Points:

  • Many unpaired electrons → strong net magnetic moment

  • Domains exist (regions where magnetic moments are aligned)

  • Magnetic susceptibility (χ\chiχ) is very large and positive

χ≫1\chi \gg 1χ≫1

Examples:

  • Iron (Fe), Cobalt (Co), Nickel (Ni)

Behavior in Magnetic Field:

  • Strong attraction

  • Can become permanent magnets


🔹 Hysteresis Loop (Ferromagnetic Behavior)

Definition:

A hysteresis loop shows how magnetization MMM lags behind the applied magnetic field HHH.

Key Features:

  1. Saturation Magnetization (MsM_sMs)

    • Maximum magnetization achieved in strong field

  2. Retentivity (MrM_rMr)

    • Magnetization left when H=0H = 0H=0

  3. Coercivity (HcH_cHc)

    • Field required to reduce M=0M = 0M=0

  4. Loop Shape

    • Shows energy loss in magnetic materials → important in transformers

Diagram (simplified):

 
M ↑ /‾‾‾‾‾‾\ | / \ | / \ | / \ |--------------/--------------\------> H | \ / | \ / | \ / | \________/ |
  • Area inside the loop = energy loss (hysteresis loss)


🔹 Quick Comparison Table

Property Diamagnetic Paramagnetic Ferromagnetic
Magnetic moment 0 Small Large
Susceptibility (χ\chiχ) Negative Positive, small Positive, large
Retains magnetization? No No Yes
Examples Cu, Bi Al, O₂ Fe, Co, Ni
Field response Weakly repelled Weakly attracted Strongly attracted
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