$A$ solenoid of $500$ turns $/ m$ is carrying a current of $3 \ A$. Its core is made of iron which has a relative permeability of $5001$. The magnitude of magnetization is:

  • A
    $4.5 \times 10^6 \ Am^{-1}$
  • B
    $6.0 \times 10^{-6} \ Am^{-1}$
  • C
    $7.5 \times 10^6 \ Am^{-1}$
  • D
    $9.0 \times 10^6 \ Am^{-1}$

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$A$ rod of ferromagnetic material with dimensions $10 \, cm \times 0.5 \, cm \times 0.2 \, cm$ is placed in a magnetic field of strength $0.5 \times 10^4 \, Am^{-1}$. As a result,a magnetic moment of $5 \, Am^2$ is produced in the rod. The value of magnetic induction will be.... $T$

An iron rod is placed parallel to a magnetic field of intensity $2000 \text{ A/m}$. The magnetic flux through the rod is $6 \times 10^{-4} \text{ Wb}$ and its cross-sectional area is $3 \text{ cm}^2$. The magnetic permeability of the rod in $\text{Wb/(A} \cdot \text{m)}$ is:

The $S.I.$ unit of magnetic permeability is

What are the dimensions of $\chi$,the magnetic susceptibility? Consider an $H$-atom. Guess an expression for $\chi$,up to a constant,by constructing a quantity of dimensions of $\chi$ out of parameters of the atom: $e, m, v, R$ and $\mu_0$. Here,$m$ is the electronic mass,$v$ is electronic velocity,$R$ is Bohr radius. Estimate the number so obtained and compare with the value of $|\chi| \approx 10^{-5}$ for many solid materials.

What does the magnetic susceptibility of a material show?

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