Question

The figure shows an area, $A=0.5{\text{m}}^2$ in a uniform magnetic field, $B=2.0\text{T}$ and making an angle of ${60}^{\circ }$ with the magnetic field. The value of the magnetic flux through the area is

• A. $2.0\text{Wb}$
• B. $\frac{1}{\sqrt{3}}\text{Wb}$
• C. $\frac{\sqrt{3}}{2}\text{Wb}$
• D. $0.5\text{Wb}$

Answer 1

The correct option is D $0.5\text{Wb}$

Magnetic flux is given by,

$\varphi =\overrightarrow{B}.\overrightarrow{A}=BA\cos \theta$

$\Rightarrow \varphi =2\times 0.5\times \cos {60}^{\circ }=0.5\text{Wb}$

Hence, option $\left(D\right)$ is the correct answer.