(B) Volume of the rod $V = 10 \times 0.5 \times 0.2 \, cm^3 = 1 \, cm^3 = 10^{-6} \, m^3$.Given magnetic field strength $H = 0.5 \times 10^4 \, Am^{-1

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(B) Volume of the rod $V = 10 \times 0.5 \times 0.2 \, cm^3 = 1 \, cm^3 = 10^{-6} \, m^3$.Given magnetic field strength $H = 0.5 \times 10^4 \, Am^{-1}$ and magnetic moment $M = 5 \, Am^2$.Intensity of magnetization $I = \frac{M}{V} = \frac{5}{10^{-6}} = 5 \times 10^6 \, Am^{-1}$.Magnetic induction $B$ is given by $B = \mu_0(I + H)$.Since $I \gg H$,we have $B \approx \mu_0 I$.$B = 4\pi \times 10^{-7} \times 5 \times 10^6 = 20\pi \times 10^{-1} = 2\pi \approx 6.28 \, T$.

Class 12 Physics Magnetism and Matter Magnetization, Magnetic Induction Susceptibility

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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.... $T$

A
$0.54$
B
$6.28$
C
$0.358$
D
$2.591$

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Class 12 Questions

Class 12

Physics Questions

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Magnetism and Matter

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Magnetization, Magnetic Induction Susceptibility

For an isotropic medium,$B$,$\mu_0$,$H$,and $M$ are related as (where $B$,$\mu_0$,$H$,and $M$ have their usual meanings in the context of magnetic materials):

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$A$ 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 $Am^{-1}$ is nearly

EasyMHT CET 2024

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If the magnetizing field on a ferromagnetic material is increased,its permeability

MediumAIIMS 2015

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An iron rod of cross-sectional area $0.2 \, cm^2$ is subjected to a magnetizing field intensity of $1600 \, A \cdot m^{-1}$. If the magnetic flux produced in the rod is $2.4 \times 10^{-5} \, Wb$, what is the magnetic susceptibility of the material of the rod?

Medium

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

MediumJEE MAIN 2022

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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.... $T$

Similar Questions

For an isotropic medium,$B$,$\mu_0$,$H$,and $M$ are related as (where $B$,$\mu_0$,$H$,and $M$ have their usual meanings in the context of magnetic materials):

$A$ 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 $Am^{-1}$ is nearly

If the magnetizing field on a ferromagnetic material is increased,its permeability

An iron rod of cross-sectional area $0.2 \, cm^2$ is subjected to a magnetizing field intensity of $1600 \, A \cdot m^{-1}$. If the magnetic flux produced in the rod is $2.4 \times 10^{-5} \, Wb$, what is the magnetic susceptibility of the material of the rod?

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

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