### Magnetic Susceptibility:

Magnetic susceptibility is a numerical measure of the ability of a material to become magnetized in response to a specific applied magnetic field.

Mathematically, the ratio of the magnetization M within the material to the applied magnetic field strength H is called the magnetic susceptibility of the material. Magnetization involves a certain amount of magnetic dipole moment per unit volume, and this ratio is technically called volume susceptibility.

The degree of magnetization of a material in response to an applied magnetic field is measured by magnetic susceptibility. It is a dimensionless proportionality constant. Susceptibility refers to the overall amount of magnetization that occurs at the same instant a magnetic field is applied to an object.

- Interactions between electrons and nuclei cause this phenomenon.
- Sensitization arises when both nuclei and electrons are applied externally under a magnetic field.

### Magnetic Susceptibility Formula:

Magnetic susceptibility X_{(A/m)} in Ampere per meter is equal to the magnetization M_{(A)} in Ampere and divided by the field intensity H_{(T)} in Tesla. Hence the Magnetic susceptibility formula can be written as

X_{(A/m)} = M_{(A)} / H_{(T)}

Where,

X = magnetic susceptibility

M= magnetization

H=field intensity

### Example:1

Calculate the magnetization 50 A and field intensity 24 T.Find the magnetic susceptibility?

### Answer:

Magnetization M= 50 A

Field intensity H = 24 T

Magnetic susceptibility x= M/H

X =50/24

X=2.0833 A/m

### Example:2

Calculate the magnetization 250 A and field intensity 80 T.Find the magnetic susceptibility?

### Answer:

Magnetization M= 250 A

Field intensity H = 80 T

Magnetic susceptibility x= M/H

X =250/80

X=3.125 A/m