Question

A magnetic material has a relative permeability \((\mu _{r})\) of \(6001\). If it is placed in a magnetizing field (magnetic intensity) of \(H=2000\ \text{A/m}\), The total magnetic induction \((B)\) inside the material is nearly equal to
\(\mu _{0}=4\pi \times 10^{-7}\ \text{T}\cdot \text{m/A}\)

• A. \(5\pi \ T\)
• B. \(3\pi \ T\)
• C. \(4.8\pi \ T\)
• D. \(12\pi \ T\)

Hint:

Use B equals mu zero times mu r times H and substitute the numbers.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept
Inside a magnetic material the induction is \(B=\mu_{0}\mu_{r}H\).

Step 2: Substitute
\(B=4\pi\times10^{-7}\times6001\times2000\)

Step 3: Calculation
\(6001\times2000\approx1.2\times10^{7}\), so \(B\approx4\pi\times10^{-7}\times1.2\times10^{7}=4.8\pi\ \text{T}\).

Final Answer:
The magnetic induction is about 4.8 pi tesla. \[ \boxed{\text{(C) }4.8\pi\ \text{T}} \]