Question

Relative permeability of an iron is $5500$, then its magnetic susceptibility will be

• A. $5500 \times 10^{-3}$
• B. $5500 \times 10^{3}$
• C. $5499$
• D. $5501$

Hint:

For ferromagnetic materials, susceptibility is very large compared to 1.

Answer 1

The Correct Option is C

Step 1: Relation between relative permeability and susceptibility.
\[ \mu_r = 1 + \chi_m \]
Step 2: Substituting given value.
\[ 5500 = 1 + \chi_m \]
Step 3: Solving for susceptibility.
\[ \chi_m = 5499 \]
Step 4: Conclusion.
Magnetic susceptibility of iron is $5499$.