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Revision: Magnetism Physics HSC Science (General) 12th Standard Board Exam Maharashtra State Board

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Definitions [15]

Define Curie temperature.

The temperature above which a ferromagnetic substance becomes paramagnetic is called curie temperature. 

Define magnetization.

The ratio of magnetic moment to the volume of the material is called magnetization.

Define magnetic intensity.

The ratio of the strength of the magnetizing field to the permeability of free space is called magnetic intensity. 

Definition: Intensity of Magnetisation

The magnetic moment developed per unit volume of a material when placed in a magnetising field is called intensity of magnetisation.

Definition: Magnetising Field

The magnetic field that exists in vacuum and induces magnetism is called magnetising field.

Definition: Magnetic Induction

The total magnetic field inside a magnetic material, which is the sum of the external magnetising field and the additional magnetic field produced due to magnetisation of the material, is called magnetic induction.

Definition: Magnetising Field Intensity

The ability of magnetising field to magnetise a material medium is called magnetising field intensity.

Definition: Magnetisation

The ratio of magnetic moment to the volume of the material is called magnetisation.

Definition: Magnetic Permeability

The ratio of the magnitude of total field inside the material to that of intensity of magnetising field is called magnetic permeability.

Definition: Magnetic Susceptibility

The ratio of magnitude of intensity of magnetisation to that of magnetic intensity is called magnetic susceptibility.

Definition: Magnetic Intensity

The ratio of the strength of magnetising field to the permeability of free space is called magnetic intensity.

Definition: Relative Permeability

The ratio of magnetic permeability of the material (μ) and magnetic permeability of free space (μ₀) is called relative permeability.

Definition: Ferromagnetic Substances

Substances which when placed in a magnetising field are strongly magnetised in the direction of the magnetising field are called ferromagnetic substances.

Definition: Diamagnetic Substances

Substances which when placed in a magnetic field are feebly magnetised in a direction opposite to that of the magnetising field are called diamagnetic substances.

Definition: Paramagnetic Substances

Substances which when placed in a magnetic field are feebly magnetised in the direction of the magnetising field are called paramagnetic substances.

Theorems and Laws [3]

Law: Curie's Law (Paramagnetic substances)

The magnetic susceptibility of a paramagnetic material varies inversely with its absolute temperature. Mathematically,

χm ∝ \[\frac {1}{T}\]

On cooling, paramagnetic substances get converted to ferromagnetic materials at the Curie temperature.

Weiss Law (Ferromagnetic substances)

For ferromagnetic substances above the Curie temperature, the magnetic susceptibility is inversely proportional to (T − TC), where TC is the Curie temperature. Mathematically,

χm ∝ \[\frac {1}{T−T_C}\]

On heating beyond the Curie temperature (TC(iron) = 770 °C), ferromagnetic substances get converted into paramagnetic materials.

Curie Law

Curie's Law describes the relationship between the magnetic susceptibility (χ) of a paramagnetic material and its temperature (T). According to Curie's Law, the magnetic susceptibility is directly proportional to the inverse of the absolute temperature

\[\chi=\frac{C}{T}\]

where:
(χ) is the magnetic susceptibility.
C is the Curie constant, which is specific to each material.
T is the absolute temperature in kelvin.

Key Points

Key Points: Current Loop as a Magnetic Dipole
  • A current-carrying loop behaves like a magnetic dipole (bar magnet)

  • Polarity Rule 
    Anticlockwise current → North pole (upper face)
    Clockwise current → South pole (lower face)
Key Points: Ferromagnetism
  • Relative permeability ranges:   μr ≫ 1, of the order of 102; μ ≫ μ0
  • Diamagnetic: B ≫ B0​; Bm ≫ B0
  • Magnetic susceptibility (χ): positive and high, χ ≈ 102; very large, positive, temperature dependent, χm ∝ \[\frac {1}{T−T_C}\]​ (Curie–Weiss law)
  • Magnetic moment: very high
  • Intensity of magnetisation (I) vs H: I is very large, positive, varies non-linearly with H (I is in the direction of H, value of I is very high)
Key Points: Diamagnetism
  • Relative permeability ranges: μr < 1 (as B is less than μ₀H); also 1 > μr > 0, μ < μ0
  • Diamagnetic: B < B0​; Bm < B0
  • Magnetic susceptibility (χ): low and negative, ∣χ∣ ≈ 1; small, negative and temperature-independent, χm ∝ T0
  • Magnetic moment: very low (≈ 0)
  • Intensity of magnetisation (I) vs H: I is small, negative, varies linearly with H (I and H in opposite direction, I is negative with respect to H)
Key Points: Paramagnetism
  • Relative permeability ranges:  μr > 1 (as B is slightly greater than μ₀H); (1 + ε) ≥ μr > 1, μ > μ0
  • Diamagnetic: B < B0​; Bm < B0
  • Magnetic susceptibility (χ): low and positive, χ ≈ 1; small, positive, varies inversely with temperature, χm ∝ \[\frac {1}{T}\]​ (Curie law)
  • Magnetic moment: very low but not zero
  • Intensity of magnetisation (I) vs H: I is small, positive, varies linearly with H (I and H in same direction, value of I is low)

Important Questions [27]

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