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Question: Answered & Verified by Expert
The magnetic susceptibility of the material of a rod is 499. Permeability of vaccum is $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Absolute permeability of the material of the rod in $\mathrm{H} / \mathrm{m}$ is:
PhysicsMagnetic Properties of MatterAP EAMCETAP EAMCET 2003
Options:
  • A $\pi \times 10^{-4}$
  • B $2 \pi \times 10^{-4}$
  • C $3 \pi \times 10^{-4}$
  • D $4 \pi 10^{-4}$
Solution:
2201 Upvotes Verified Answer
The correct answer is: $2 \pi \times 10^{-4}$
Magnetic susceptibility, $\chi=499$
$\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$
Relative permeability of the rod,
$\mu_r=1+\chi=1+499=500$
Absolute permeability, $\mu=\mu_r \mu_0$
$=500 \times 4 \pi \times 10^{-7}$
$=20 \pi \times 10^{-5}$
$=2 \pi \times 10^{-4}$

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