A circular disc of radius \(0.2\) m is placed in a uniform magnetic field of induction \(\frac{1}{\pi} \left(\frac{\text{Wb}}{\text{m}^{2}}\right)\)
in such a way that its axis makes an angle of \(60^{\circ}\) with \(\vec {B}.\) The magnetic flux linked to the disc will be:
1. \(0.02\) Wb
2. \(0.06\) Wb
3. \(0.08\) Wb
4. \(0.01\) Wb
If a current is passed through a circular loop of radius \(R\) then magnetic flux through a coplanar square loop of side \(l\) as shown in the figure \((l<<R)\) is:
1. \(\frac{\mu_{0} l}{2} \frac{R^{2}}{l}\)
2. \(\frac{\mu_{0} I l^{2}}{2 R}\)
3. \(\frac{\mu_{0} l \pi R^{2}}{2 l}\)
4. \(\frac{\mu_{0} \pi R^{2} I}{l}\)
The radius of a loop as shown in the figure is \(10~\mathrm {cm}.\) If the magnetic field is uniform and has a value \(10^{-2}~ T,\) then the flux through the loop will be:
1. | \(2 \pi \times 10^{-2}Wb\) | 2. | \(3 \pi \times 10^{-4}Wb\) |
3. | \(5 \pi \times 10^{-5}Wb\) | 4. | \(5 \pi \times 10^{-4}Wb\) |
What is the dimensional formula of magnetic flux?
1.
2.
3.
4.