There are two stationary loops with mutual inductance `L_(12)`. The current is one of the loops starts to be varied as `I_(1) = alpha t` where `alpha` is a current, `t` is time. Find the time dependence `I_(2) (t)` of the current in the other loop whose inductance is `L_(2)` and resistance `R`.

In Fig, the mutual inductance of a coil and a very long straight wire is M , coil has resistance R and self-inductance L . The current in the wire varies according to the law I = at , where a is a constant and t is the time, the time dependence of current in the coil is

In the adjacent figure, the mutual inducatance of the infinite straight wire and the coil is M, while the self inductance of the coil is L. The current in infinite wire is varying according to the realtion l_(1) = alphat , where alpha is a constant and t is the time. The time dependence of current in the coil is

If the current in the ineer loop changes according to i=2t^(2) then, find the current in the capacitor as a function of time.

The current in an L - R circuit in a time t = 2L / R reduces to-

A circular loop is placed in magnetic field B=2t. Find the direction of induced current produced in the loop.

A square loop of side length d has a capacitor of capacitance C and the resistance of the loop is R. In the plane of the loop there is a long straight current carrying wire having current I. The distance of the straight wire from the loop is d as shown in figure. The current in the straight wire is made to grow with time as I = alpha t where alpha = 2 As^(-1) . Neglect self inductance of the loop. (a) Find the charge on the capacitor as a function of time (t). (b) Find the heat generated in the loop as a function of time. (c) Who supplies energy for heat dissipation?

Two different wire loops are concentric and lie in the same plane. The current in the outer loop (I) is clockwise and increases with time. The induced current in the inner loop

A current through a wire depends on time as i = alpha_0 t + beta t^2 where alpha_0 = 20 A//s and beta = 8As^(-2) . Find the charge crossed through a section of the wire in 15 s.

The magnetic flux through a stationary loop with resistance R varies during interval of time T as phi = at (T – t). The heat generated during this time neglecting the inductance of loop will be