A) power generated in the coil at any time t is constant
B) flow of charge per unit time from any section of the coil is constant
C) total charge passed through any section between time\[t=0\] to \[\,t=2\] is \[\,\frac{4\pi {{a}^{2}}}{R}\]
D) All the above
Correct Answer: D
Solution :
| \[e=\left( \pi {{a}^{2}} \right)\frac{dB}{dt}=\left( \pi {{a}^{2}} \right)\left( 2 \right)\]; \[\therefore \]induced emf \[e=2\pi {{a}^{2}}\] |
| Induced current or flow of charge per unit time through any section of the coil is \[i=\frac{e}{R}\]or |
| or \[i=\left( \frac{2\pi {{a}^{2}}}{R} \right)=cons\tan t\] |
| Charge passed through any section between t=0 and t = 2s is |
| \[q=it\,=\,\,\left( \frac{2\pi {{a}^{2}}}{R} \right)\left( 2 \right)\]or \[q=\left( \frac{4\pi {{a}^{2}}}{R} \right)\] |
| Further \[p={{i}^{2}}R=cons\tan t\] (as i is constant) |
You need to login to perform this action.
You will be redirected in
3 sec
