The magnetic flux through a circular loop varies with time according to the given equation:
\(\phi=(5 t^2-3 t+5) ,\)
where \(\phi\) is in webers and \(t\) is in seconds.
If the resistance of the loop is \( 8~\Omega,\) what is the current in the loop at \(t=2 ~\text s \text{?}\)
| 1. | \( \dfrac{15}{8}~\text{A}\) | 2. | \( \dfrac{5}{8}~\text{A}\) |
| 3. | \( \dfrac{17}{8}~\text{A}\) | 4. | \(\dfrac{13}{8}~\text{A}\) |
In a coil of resistance \(100~\Omega\), a current is induced by changing the magnetic flux through it (as shown in the graph). The magnitude of the change in the flux through the coil is:

1. \(200~\text{Wb}\)
2. \(225~\text{Wb}\)
3. \(250~\text{Wb}\)
4. \(275~\text{Wb}\)