Target Exam

CUET

Subject

Physics

Chapter

Magnetism and Matter

Question:

A ferromagnetic core of susceptibility 799 is subjected to a magnetizing field. The permeability of the material is

(Take $μ_0 = 4 π × 10^{-7} T\, m\, A^{-1}$)

Options:

$3.2 π × 10^{-4}T\, m\, A^{-1}$

$3.2 × 10^{-4}T\, m\, A^{-1}$

$3.2 π × 10^{-5}T\, m\, A^{-1}$

$3.2 π × 10^{-7}T\, m\, A^{-1}$

Correct Answer:

$3.2 π × 10^{-4}T\, m\, A^{-1}$

Explanation:

The correct answer is Option (1) → $3.2 π × 10^{-4}T\, m\, A^{-1}$

Given:
Magnetic susceptibility, $\chi = 799$

Relation between relative permeability and susceptibility:

$\mu_r = 1 + \chi$

$\mu_r = 1 + 799 = 800$

Absolute permeability:

$\mu = \mu_r \mu_0 = 800 \times 4\pi \times 10^{-7}$

$\mu = 3.2\pi \times 10^{-4}$