Faraday's laws are a consequence of the conservation of

$A$ coil of $n$ turns and resistance $R \Omega$ is connected in series with a resistance $R/4$. The combination is moved for time $t$ seconds through a magnetic flux change from $\phi_1$ to $\phi_2$. The induced current in the circuit is:

$A$ rectangular loop of wire $ABCD$ is kept close to an infinitely long wire carrying a current $I(t) = I_0(1 - t/T)$ for $0 \le t \le T$ and $I(t) = 0$ for $t > T$ as shown in the figure. Find the total charge passing through a given point in the loop in time $T$. The resistance of the loop is $R$.

Which law is associated with the following equation: $\oint \vec{E} \cdot d\vec{l} = -\frac{d\phi_B}{dt}$?

Magnetic flux (in weber) in a closed circuit of resistance $20\,\Omega$ varies with time $t(s)$ as $\phi = 8t^2 - 9t + 5$. The magnitude of the induced current at $t = 0.25\,s$ will be $...mA$.

In electromagnetic induction,the induced charge in a coil is independent of