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Magnetization, Magnetic Induction Susceptibility Questions in English

Class 12 Physics · Magnetism and Matter · Magnetization, Magnetic Induction Susceptibility

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The magnetic susceptibility of the material of a rod is $499$. Permeability of vacuum is $4 \pi \times 10^{-7} \ H/m$. The absolute permeability of the material of the rod in $H/m$ is:
A
$\pi \times 10^{-4}$
B
$2 \pi \times 10^{-4}$
C
$3 \pi \times 10^{-4}$
D
$4 \pi \times 10^{-4}$

Solution

(B) Given: Magnetic susceptibility,$\chi = 499$.
Permeability of vacuum,$\mu_0 = 4 \pi \times 10^{-7} \ H/m$.
Relative permeability of the rod is given by the relation: $\mu_r = 1 + \chi$.
Substituting the value of $\chi$: $\mu_r = 1 + 499 = 500$.
Absolute permeability $\mu$ is given by: $\mu = \mu_r \mu_0$.
Substituting the values: $\mu = 500 \times 4 \pi \times 10^{-7} \ H/m$.
$\mu = 2000 \pi \times 10^{-7} \ H/m$.
$\mu = 2 \pi \times 10^{-4} \ H/m$.

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