First slide

Magnetic properites of materials.

Question

Relative permeability of a magnetic material is 651 when a cylindrical rod made of this material is placed in a magnetising field of $8 \times 10^{- 5} T - m - A^{- 1}$ , find dipole moment per unit volume of the rod in $T - m - A^{- 1}$ .

Moderate

A

$52 \times 10^{- 3}$
B

$48 \times 10^{- 2}$
C

$62 \times 10^{- 3}$
D

$98 \times 10^{- 2}$

Solution

$\begin{array}{l} B = μ_{0} H + μ_{0} I \\ \Rightarrow μ H = μ_{0} H + μ_{0} I \Rightarrow I = (\frac{μ}{μ_{0}} - 1) H = (μ_{r} - 1) H \end{array}$
$∴ I = (651 - 1) \times 8 \times 10^{- 5} T - m - A^{- 1} = 52 \times 10^{- 3} T - m - A^{- 1}$

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