In a coil of area $10 \; cm^2$ and $10$ turns, a magnetic field is directed perpendicular to the plane and is changing at the rate of $10^8 \; G/s$. The resistance of the coil is $20 \; \Omega$. The current in the coil will be ......... $A$.

Whenever a magnet is moved towards or away from a conducting coil,and an e.m.f. is induced,the magnitude of which is independent of:

Suppose a long solenoid of $100 \ cm$ length, radius $2 \ cm$ having $500 \ turns/cm$ carries a current $I = 10 \sin(\omega t) \ A$, where $\omega = 1000 \ rad/s$. $A$ circular conducting loop $(B)$ of radius $1 \ cm$ is coaxially placed inside the solenoid. The r.m.s. current through the loop when the coil $B$ is inside the solenoid is $\alpha / \sqrt{2} \ \mu A$. The value of $\alpha$ is . . . . . . . [Resistance of the loop $= 10 \ \Omega$]

In the arrangement shown in the given figure,the current from $A$ to $B$ is increasing in magnitude. The induced current in the loop will

$A$ conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $emf$ is induced in the loop if

Assertion : Faraday's laws are consequences of conservation of energy.
Reason : In a purely resistive $A.C.$ circuit,the current lags behind the $e.m.f.$ in phase.