List of top Physics Questions on Electromagnetic Induction and Inductance asked in CBSE CLASS XII

The figure given below shows a square-shaped loop MNOP of side \(25\text{ cm}\) placed horizontally in a uniform magnetic field \(\vec{B}\) directed vertically downward. The position of the loop at \(t = 0\text{ s}\) is as shown in figure. The loop is pulled with a constant velocity of \(25\text{ cm/s}\) till it goes out of the field.

(a) What will be the direction of the induced current in the loop as it goes out of the field ? For how long would the current in the loop persist ?
(b) Plot graphs showing the variation of magnetic flux and magnitude of induced emf as a function of time.
Two identical conductors 1 and 2 are placed on two frictionless conducting rails R and S in a uniform magnetic field directed vertically downward into the plane of the page. If conductor 1 is moved with a constant velocity in the direction as shown in figure, the force on conductor 2 will be along :

A sinusoidal voltage is applied to an electric circuit containing a circuit element `X' in which the current leads the voltage by \(\pi/2\).
(a) Identify the circuit element `X' in the circuit:
(b) Write the formula for its reactance:
(c) Show graphically the variation of this reactance with frequency of ac voltage:
To illustrate the relationship graphically:
Consider a solenoid of length \( l \) and area of cross-section \( A \) with a fixed number of turns. The self-inductance of the solenoid will increase if:
The current in a coil of \(15 \, mH}\) increases uniformly from zero to \(4 \, A}\) in \(0.004 \, s}\). Calculate the electromotive force (emf) induced in the coil: