Question

The maximum value of permeability \(\mu = 0.126 \, \text{T m/A}\). The maximum relative permeability \(\mu_r\) is:

• A. \(\mu_r = 1.00 \times 10^3\)
• B. \(\mu_r = 1.00 \times 10^4\)
• C. \(\mu_r = 1.00 \times 10^5\)
• D. \(\mu_r = 1.00 \times 10^6\)

Hint:

Relative permeability quantifies a material’s magnetic response compared to vacuum. Always express μr as dimensionless by dividing μ by μ0.

Answer 1

The Correct Option is B

Relative permeability $\mu_r$ is given by:
\[\mu_r = \frac{\mu}{\mu_0}\]
where $\mu_0 = 4\pi \times 10^{-7} \text{ T m/A}$:
\[\mu_r = \frac{0.126}{4\pi \times 10^{-7}} = \frac{0.126}{1.256 \times 10^{-6}} \approx 1.00 \times 10^{4}\]