The value of aluminium susceptibility is 2.2 | vedclass

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

Question

(A) The magnetic field $B$ inside a material is given by $B = \mu_0(H + M) = \mu_0 H(1 + \chi)$,where $\chi$ is the magnetic susceptibility.The magnet

Vedclass · Accepted Answer

$22$

Vedclass · Answer

(A) The magnetic field $B$ inside a material is given by $B = \mu_0(H + M) = \mu_0 H(1 + \chi)$,where $\chi$ is the magnetic susceptibility.The magnetic field in vacuum is $B_0 = \mu_0 H$.Thus,$B = B_0(1 + \chi)$.The increase in the magnetic field is $\Delta B = B - B_0 = B_0 \chi$.The percentage increase is given by $\frac{\Delta B}{B_0} 	imes 100 = \chi 	imes 100$.Given $\chi = 2.2 	imes 10^{-5}$,the percentage increase is $(2.2 	imes 10^{-5}) 	imes 100 = 2.2 	imes 10^{-3} = \frac{2.2}{10^3} = \frac{22}{10^4}$.Comparing this with $\frac{x}{10^4}$,we get $x = 22$.

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 ...... .

Similar Questions

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 susceptibility of a material is $7.54 \times 10^{-3}$. The nature and relative permeability of the substance are:

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

$ \chi_{1} $ and $ \chi_{2} $ are the magnetic susceptibilities of a paramagnetic material at temperatures $ T_{1} \ K $ and $ T_{2} \ K $ respectively. Then:

$A$ substance has a mass of $1 \, g$ and a density of $5 \, g/cm^3$. Its magnetic dipole moment is $6 \times 10^{-7} \, A \cdot m^2$. What is the magnetization in $A/m$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module