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The figure represents an area $A=0.5\,\text{m}^2$ situated in a uniform magnetic field $B=2.0\,\text{Wb m}^{-2}$ and making an angle of $60^\circ$ with respect to the magnetic field. The magnetic flux through the area is equal to
- 2.0 weber
- 3 weber
- 3/2 weber
- 0.5 weber
Correct answer: 0.5 weber
Solution
Magnetic flux through a surface is $\Phi=BA\cos\theta$, where $\theta$ is the angle between the magnetic field and the area vector (normal to the surface). With $B=2.0\,\text{Wb m}^{-2}$ and $A=0.5\,\text{m}^2$, the flux is $2.0\times0.5\times\cos 60^\circ=0.5\,\text{Wb}$.
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