Magnetisation: B, H, M, χ & μ

A magnetising field of $5000$ A/m produces a magnetic flux of $4 \times 10^{-5}$ Wb in an iron rod of cross- sectional area $0.4$ cm${}^{2}$. The permeability of the rod (in Wb/Am) is

An iron rod is placed parallel to magnetic field of intensity H. The magnetic flux through the rod is $\Phi$ and its cross-sectional area is A. The magnetic permeability ($\mu$) of the rod is

An iron rod is placed parallel to magnetic field intensity 1000 A/m. The magnetic flux through the rod is $3 \times 10^{-4}$ Wb and its cross-sectional area is $1.5$ cm${}^{2}$. The magnetic permeability of rod in Wb/A-m is

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

The relationship between the magnetic susceptibility ($\chi$) and magnetic permeability ($\mu$) of a material is ($\mu_0$ and $\mu_r$ is the permeability of free space and relative permeability respectively)

The relation between total magnetic field $(B)$, magnetic intensity $(H)$, permeability of free space $(\mu_0)$ and susceptibility $(\chi)$ is

A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0 T. The magnetic intensity in SI units is $\alpha \times 10^{5}$. The value of $\alpha$ is ______.

(Free space permeability $\mu_0 = 4\pi \times 10^{-7}$ SI units.)

A paramagnetic substance in the form of a cube with sides $1$ cm has a magnetic dipole moment $20 \times 10^{-6}$ J/T when a magnetic intensity $60 \times 10^{3}$ A/m is applied. Its magnetic susceptibility is

A domain in a ferromagnetic substance is in the form of a cube of side '$L$'. If it contains '$N$' atoms and each atomic dipole moment $M$ then the magnetisation of the domain is

The magnetic moment produced in a sample of 2 gram is $8 \times 10^{-7}$ A/m${}^{2}$. If its density is $4$ g/cm${}^{3}$ then the magnetization of the sample is

The region inside a current carrying toroid is filled with a material (Niobium) having susceptibility $\chi = 2.6 \times 10^{-5}$. The percentage increase in the magnetic field in the presence of Niobium over that without it, is

A rod with a circular cross-section area $2$ cm${}^{2}$ and length $40$ cm is wound uniformly with $400$ turns of an insulated wire. If a current $0.4$ A flows in the wire winding, the total magnetic flux produced inside the winding is $4\pi \times 10^{-6}$ Wb. The relative permeability of the rod is

(Given permeability of vacuum $\mu_0 = 4\pi \times 10^{-7}$ N m A${}^{-2}$)

Match List - I with List - II.

Choose the correct answer from the options given below:

The magnetic susceptibility of iron is 5499. The relative permeability of iron will be

If $M$ is the magnetisation induced in the material, H is the magnetic field intensity, B is the net magnetic field inside the material then the correct relation between them is ( $\mu_0 =$ permeability of free space)

The relationship between the magnetic susceptibility $(\chi)$ and the magnetic permeability $(\mu)$ is given by:

( $\mu_0$ is the permeability of free space and $\mu_r$ is relative permeability)

The magnetic field (B) inside a long solenoid having ' $n$ ' turns per unit length and carrying current ' i ' when iron core is kept in it, is ( $\mu_0 =$ permeability of vacuum, $\chi =$ magnetic susceptibility)

The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $\chi_{\text{Mg}} = 1.2 \times 10^{-5}$) is:

A bar of iron having magnetic moment $2.4\text{ Am}^2$ weighs 66 g. If the density of the material of the bar is $7700\text{ kg/m}^3$, the intensity of magnetisation in $\text{Am}^{-1}$ is

The space within the current carrying toroid is filled with aluminium of susceptibility ' $\chi$ '. The percentage increase in the magnetic field ' $B$ ' will be

A bar magnet has length 4 cm, cross-sectional area $2\text{ cm}^2$ and magnetic moment $6\text{ Am}^2$. The intensity of magnetisation of bar magnet is

A magnetic intensity of $500\text{ A/m}$, produces a magnetic flux of $2.4 \times 10^{-5}\text{ Wb}$ in an iron bar of cross- sectional area $0.4\text{ cm}^2$. The magnetic permeability of the iron bar is

The correct relation between total magnetic field $(B)$, magnetic intensity $(H)$, permeability of free space $(\mu_0)$ and susceptibility $(\chi)$ is

The relation between total magnetic field (B), magnetic intensity $(H)$, permeability of free space $(\mu_0)$ and susceptibility $(\chi)$ is

The magnetic susceptibility of the material of a rod is 599. The absolute permeability of the material of the rod will be [ $\mu_0 = 4\pi \times 10^{-7}$ SI unit]

A solenoid having 400 turns per metre has a core of a material with relative permeability 400. When a current of 0.5 A is passed through it, the magnetization of the core material in $\text{Am}^{-1}$ is nearly

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

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:

The magnetic intensity at the center of a long current carrying solenoid is found to be $1.6 \times 10^{3}\text{ Am}^{-1}$. If the number of turns is 8 per cm, then the current flowing through the solenoid is __________ A.

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

The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is: [Permeability of free space $\mu$0 = 4$\pi \times$ 10$-$7 Wb/A-m]

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2 $\times$ 10$-$5. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum $\mu_0$ is $4\pi \times 10^{-7}$ SI units. Absolute permeability of the material of the rod in SI units is

A bar magnet has length $3\text{ cm}$, cross-sectional area $2\text{ cm}^2$ and magnetic moment $3\text{ Am}^2$. The intensity of magnetisation of bar magnet is

The relative permeability of iron is 2000. Its absolute permeability in SI unit will be $(\frac{\mu_0}{4\pi} = 10^{-7}$SI unit$)$

The permeability of a metal is $0.1256\text{ TmA}^{-1}$. Its relative permeability will be $\left(\frac{\mu_0}{4\pi} = 10^{-7}\text{ SI unit}\right)$ ($\pi = 3.14$)

What is susceptibility of a medium, if its relative permeability is 0.85?

The magnetic susceptibility of a material of a rod is 499. Permeability in vacuum is 4$\pi \times$ 10$-$7 H/m. Absolute permeability of the material of the rod is:

The value of aluminium susceptibility is 2.2 $\times$ 10$-$5. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is $\frac{x}{10^4}$. Then the value of x is _________________.

An iron rod is placed parallel to 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 $\frac{\text{Wb}}{\text{A-m}}$ is

An iron rod of susceptibility 599 is subjected to a magnetizing field of 1200 A m-1. The permeability of the material of the rod is:

$\left(\mu_0 = 4\pi \times 10^{-7}\text{ TmA}^{-1}\right)$

A domain in a ferromagnetic substance is in the form of a cube of side $1\,\mu\text{m}$. If it contains $8 \times 10^{10}$ atoms and each atomic dipole has a dipole moment of $9 \times 10^{-24}\text{ Am}^2$, then the magnetisation of the domain is

The magnetization of bar magnet of length 5 cm, cross sectional area $2\text{ cm}^2$ and net magnetic moment $1\text{ Am}^2$ is

A magnetizing field of $5000\text{ A/m}$ produces a magnetic flux of $4 \times 10^{-5}\text{ Wb}$ in an iron rod of cross- sectional area $0.4\text{ cm}^2$. The permeabilit of the rod in Wb/A-m, is

A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20 $\times$ 10−6 J/ T when a magnetic intensity of 60 $\times$ 103 A/m is applied. Its magnetic susceptibility is