The relation between total magnetic field (B) | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The net magnetic field $(B)$ inside a material is the sum of the magnetic field due to external current $(B_0)$ and the magnetic field due to the

Vedclass · Accepted Answer

$\frac{B}{H}=\mu_0(1+\chi)$

Vedclass · Answer

(B) The net magnetic field $(B)$ inside a material is the sum of the magnetic field due to external current $(B_0)$ and the magnetic field due to the magnetization of the material $(B_m)$.$B = B_0 + B_m$We know that $B_0 = \mu_0 H$, where $H$ is the magnetic intensity.The magnetization $(M)$ of the material is related to the magnetic intensity by $M = \chi H$, where $\chi$ is the magnetic susceptibility.The magnetic field due to magnetization is $B_m = \mu_0 M = \mu_0 \chi H$.Substituting these into the expression for $B$:$B = \mu_0 H + \mu_0 \chi H$$B = \mu_0 H(1 + \chi)$Dividing both sides by $H$, we get:$\frac{B}{H} = \mu_0(1 + \chi)$

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

Similar Questions

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

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

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

The magnetic moment produced in a substance of mass $5 \ g$ is $6 \times 10^{-7} \ A \cdot m^{2}$. If its density is $5 \ g/cm^{3}$,then the intensity of magnetization in $A/m$ will be:

$A$ 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:

Vedclass Test Series

Exam Paper Generator

Online Exam Module