Question

The relative magnetic permeability $(\mu_r)$ of a substance is related to its susceptibility $(\chi)$ as

• A. $\mu_r = 1 - \chi^2$
• B. $\mu_r = 1 + \chi^2$
• C. $\mu_r = 1 + \chi$
• D. $\mu_r = 1 - \chi$

Hint:

For linear magnetic materials, relative permeability is always equal to $1 +$ magnetic susceptibility.

Answer 1

The Correct Option is C

Step 1: Define magnetic susceptibility.
Magnetic susceptibility $\chi$ relates magnetization to applied magnetic field.
Step 2: Relation between permeability and susceptibility.
The relative magnetic permeability is given by: \[ \mu_r = 1 + \chi \] Step 3: Final conclusion.
Thus, the correct relation is $\mu_r = 1 + \chi$.