Magnetization and Magnetic Intensity

The following figure shows the variation of intensity of magnetisation $\mathrm{I}$ versus the applied magnetic field intensity $\mathrm{H}$, for two magnetic materials $\text{A}$ and $\text{B}$

Which of the material have a larger susceptibility for a given field at constant temperature?

The free space inside a current carrying toroid is filled with a material of susceptibility $2\times {10}^{-2}$. The percentage increase in the value of magnetic field inside the toroid will be
 

The magnetic induction along the axis of an air solenoid is $0.03 \mathrm{T}$. On placing an iron core inside the solenoid, the magnetic induction becomes $15 \mathrm{T}$. The permeability of iron will be (in ${\mathrm{Wb}}^{-1} {\mathrm{A}}^{-1} {\mathrm{m}}^{-1}$)

Write the unit of $\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}$.

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 solenoid has a core of material with magnetic susceptibility ${\rm X}=399$. The windings of the solenoid are insulated from the core and carry a current such that the magnetic intensity $H$ inside the solenoid is ${10}^{3}A/m$. The magnetic field $B$ in the core is given by

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 dimension of the quantity, $\overrightarrow{E}\times \overrightarrow{H}$, where $\overrightarrow{E}$ is the electric field and $\overrightarrow{H}$ is related to the magnetic field $\overrightarrow{B}$as $\overrightarrow{H}=\frac{\overrightarrow{B}}{{\mathrm{\mu }}_0}$, in the $MLTQ$system is given by

A solenoid of $1000$ turns per meter has a core of material having relative permeability $2001.$ A current of $2 \mathrm{A}$ flows through the windings of the solenoid which are insulated from the core. The magnetization is given by

The $\mathrm{SI}$ unit of magnetic permeability is

What is magnetic induction, and how does it work?

SI unit of magnetic induction is _________.

What is magnetic induction ?

Which of the following properties has low value for ferrites?

For a paramagnetic material, the dependence of the magnetic susceptibility $\chi$ on the absolute temperature $T$ is given by

When a piece of a magnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. The magnetic permeability of the material is_______

A rod of ferromagnetic material with dimensions $10 \mathrm{cm}\times 0.5 \mathrm{cm}\times 0.2 \mathrm{cm}$ is placed in a magnetic field of strength $0.5\times {10}^4\mathrm{amp}/\mathrm{m}$ as a result of which a magnetic moment of $5\mathrm{amp}-{\mathrm{m}}^2$ is produced in the rod. If the value of magnetic induction is $3.14\times \alpha$ find $\alpha$. (in $\mathrm{SI}$ unit).

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: