Question

Define and state unit and dimensions of:
(i) Magnetization
(ii) Magnetic susceptibility
Magnetization

Hint:

Magnetization tells us how much magnetic moment is induced per unit volume, while magnetic susceptibility tells us how susceptible a material is to becoming magnetized in a given magnetic field.

Answer 1

Magnetization is defined as the magnetic moment \( M \) per unit volume \( V \). It is given by: \[ M = \frac{\text{Magnetic Moment}}{\text{Volume}} \] The magnetic moment has units of \( \text{Am}^2 \), and the volume has units of \( \text{m}^3 \). Thus, the unit of magnetization is \( \text{A/m} \). Magnetic Susceptibility
% Correct Answer Definition: Magnetic susceptibility is the ratio of the magnetization of a material to the applied magnetic field strength. It indicates how easily a material becomes magnetized when exposed to a magnetic field. Unit: The unit of magnetic susceptibility is dimensionless (no unit). Dimensions: The dimensions of magnetic susceptibility are \( [M^0 L^0 T^0 A^0] \) (dimensionless). % Solution Solution:
Magnetic susceptibility \( \chi_m \) is defined as: \[ \chi_m = \frac{M}{H} \] where \( M \) is the magnetization (in \( \text{A/m} \)) and \( H \) is the magnetic field strength (in \( \text{A/m} \)). Since the ratio of two quantities with the same unit is dimensionless, the magnetic susceptibility has no unit.