The magnetic flux linked to a circular coil of radius \(R\) is given by:
\(\phi=2t^3+4t^2+2t+5\) Wb.
What is the magnitude of the induced EMF in the coil at \(t=5\) s?
1. \(108\) V
2. \(197\) V
3. \(150\) V
4. \(192\) V
| 1. | \(10~\text{J}\) | 2. | \(2.5~\text{J}\) |
| 3. | \(20~\text{J}\) | 4. | \(5~\text{J}\) |
| 1. | \(\left[M^2LT^{-2}A^{-2}\right]\) | 2. | \(\left[MLT^{-2}A^{2}\right]\) |
| 3. | \(\left[M^{2}L^{2}T^{-2}A^{2}\right]\) | 4. | \(\left[ML^{2}T^{-2}A^{-2}\right]\) |
The current in an inductor of self-inductance \(4~\text{H}\) changes from \(4~ \text{A}\) to \(2~\text{A}\) in \(1~ \text s\). The emf induced in the coil is:
1. \(-2~\text{V}\)
2. \(2~\text{V}\)
3. \(-4~\text{V}\)
4. \(8~\text{V}\)
| 1. | \(2~\text{A}\) | 2. | \(0.25~\text{A}\) |
| 3. | \(1.5~\text{A}\) | 4. | \(1~\text{A}\) |
| 1. | \(BA\) and \(CD\) | 2. | \(AB\) and \(CD\) |
| 3. | \(BA\) and \(DC\) | 4. | \(AB\) and \(DC\) |
| \(\mathrm A.\) | hold the sheet there if it is magnetic. |
| \(\mathrm B.\) | hold the sheet there if it is non-magnetic. |
| \(\mathrm C.\) | move the sheet away from the pole with uniform velocity if it is conducting. |
| \(\mathrm D.\) | move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar. |
| 1. | \(\mathrm A\) and \(\mathrm C\) only |
| 2. | \(\mathrm A\), \(\mathrm C\) and \(\mathrm D\) only |
| 3. | \(\mathrm C\) only |
| 4. | \(\mathrm B\) and \(\mathrm D\) only |