Physical Quantities Used in Magnetism

The magnetic field inside a long solenoid having $100$ turns per $\mathrm{cm}$ is increased from $3.5\times {10}^{-3} \mathrm{T}$ to $3.5 \mathrm{T}$ when an iron core of cross-sectional area $5{ \mathrm{cm}}^2$ is inserted into it. Then the pole strength developed in the core?

What are the permeability of the material, if the flux through a toroid changes from $0.65$ to $0.91$ $\mathrm{mWb}$ when the air core is replaced by another material.

A solenoid is $40 \mathrm{cm}$ long, has cross-sectional area $8{ \mathrm{cm}}^2$ and is wound with $300$ turns of wire that carry a current of $1.2 \mathrm{A}$. The relative permeability of its iron core is $600$. Then the flux through the solenoid is?

A soft iron ring is uniformly wound with $2000$ turns carrying a current of $2 A$ and the magnetic flux in the iron ring is $8\times {10}^{-3} \mathrm{Wb}$. Then, what is the relative permeability. Given, mean diameter and cross-sectional area of iron ring is $0.20 m$ and $5\times {10}^{-4}{ \mathrm{m}}^2$ respectively.

The magnetic susceptibility of a paramagnetic substance at $-173 \mathrm{℃}$ is $1.5\times {10}^{-2}$, then it's value at $-73 \mathrm{℃}$ will be:

For super conductors, magnetic susceptibility is -

Susceptibility of a diamagnetic substance is

Relative permeability of iron is $5500$. Its magnetic susceptibility is

The magnetic field $B$ and the magnetic intensity $H$ in a material are found to be $1.6 \mathrm{T}$ and $1000 \raisebox{1ex}{$\mathrm{A}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{m}$}\right.$ respectively. Calculate the relative permeability ${\mu }_r$ and the susceptibility $\chi$ of the material ?

A bar magnet made of steel has magnetic moment of $2.5 {\mathrm{Am}}^2$ and a mass of $6.6\times {10}^{-3} \mathrm{kg}$. If the density of steel is $7.9\times {10}^3 {\mathrm{kgm}}^{-3}$, find the intensity of magnetization of the magnet.

The susceptibility of annealed iron at saturation is $5500$. Find the permeability of annealed iron at saturation. ${\mu }_0=1.257\times {10}^{-6}$

The relative permeability of paramagnetic and ferromagnetic materials are

The relative permeability of iron is $6000$. Its magnetic susceptibility is _____.

The susceptibility of magnesium at $300 \mathrm{K}$ is $1.2\times {10}^{-5}$. At what temperature (in Kelvin) will the susceptibility increase to $1.8\times {10}^{-5}$?

For superconductors, magnetic susceptibility is -

What is the maximum possible intensity of magnetisation in the paramagnetic gas at  $27°\mathrm{C}$ and the number of molecules per unit volume in it is $2\times {10}^{26} {\mathrm{m}}^{-3}$. Given dipole moment of each molecule is $1.5\times {10}^{-23} \mathrm{A}-{\mathrm{m}}^2$.

The magnetic susceptibility of a paramagnetic substance at $-173 \mathrm{℃}$ is $1.5\times {10}^{-2}$, then it's value at $-73 \mathrm{℃}$ will be:

The relation connecting magnetic susceptibility $X_m$ and relative permeability ${\mu }_r$ is

A domain in ferromagnetic iron in the form of cube is having $5\times {10}^5$ atoms. If the side length of this domain is $1.5 \mathrm{\mu m}$ and each atom has a dipole moment of $8\times {10}^{-24} \mathrm{A} {\mathrm{m}}^2$, then magnetisation of domain is 

A cube of side $1\mathrm{ }\mathrm{cm}$ and magnetic moment $20\times {10}^{-6} \mathrm{A} {\mathrm{m}}^2$ is placed in external magnetic field

$50\times {10}^{-6} \mathrm{T}$. Then magnetic susceptibility of material is: