Question

A material of $0.25c{m}^2$ cross sectional area is placed in a magnetic field of strength ($H$) $1000A{m}^{-1}$. Then the magnetic flux produced is:

[Susceptibility of material is 314 and Permeability of free space, ${\mu }_0=4\pi \times {10}^{-7}H{m}^{-1}$]

• A. $8.33\times {10}^{-8}Wb$
• B. $1.84\times {10}^{-6}Wb$
• C. $9.87\times {10}^{-6}Wb$
• D. $3.16\times {10}^{-8}Wb$

Answer 1

The correct option is C $9.87\times {10}^{-6}Wb$

$\varphi =\overrightarrow{B}.\overrightarrow{A}=BA=\mu HA$

$={\mu }_0(1+\chi )HA=4\pi \times {10}^{-7}\left(314\right)\times {10}^3\times 25\times {10}^{-6}=9.87\times {10}^{-6}Wb$