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. | \(\left[M^2LT^{-2}A^{-2}\right]\) | 2. | \(\left[MLT^{-2}A^{2}\right]\) |
3. | \(\left[M^{2}L^{2}T^{-2}A^{2}\right]\) | 4. | \(\left[ML^{2}T^{-2}A^{-2}\right]\) |
1. | \(10~\text{J}\) | 2. | \(2.5~\text{J}\) |
3. | \(20~\text{J}\) | 4. | \(5~\text{J}\) |
1. | \(\dfrac{2\sqrt{2}\mu _{0}L^{2}}{\pi \ell}\) | 2. | \(\dfrac{\mu_{0} \ell^{2}}{2 \sqrt{2} \pi {L}} \) |
3. | \(\dfrac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi {L}} \) | 4. | \(\dfrac{\mu_{0} L^{2}}{2 \sqrt{2} \pi \ell}\) |
Assertion (A): | \(\dfrac12B\omega L.\) | The average induced electric field within the wire has a magnitude of
Reason (R): | \(\dfrac12B\omega L^2.\) | The induced electric field is the motional EMF per unit length, and the motional EMF is
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
1. | \(\sqrt2\times10^{-2}\) Wb | 2. | \(\sqrt2\times10^{-3}\) Wb |
3. | \(\dfrac{1}{\sqrt{2}}\times10^{-2}\) Wb | 4. | \(\dfrac{1}{\sqrt{2}}\times10^{-3}\) Wb |
1. | \(3\times 10^{-4}\) V | 2. | \(6\times 10^{-4}\) V |
3. | \(6\times 10^{-5}\) V | 4. | \(6\times 10^{-6}\) V |
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