List of top Physics Questions on Electromagnetic Induction and Inductance

AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:

The electric field of an electromagnetic wave in free space is \[ \vec{E} = 57 \cos \left[7.5 \times 10^6 t - 5 \times 10^{-3} (3x + 4y)\right] \left( 4\hat{i} - 3\hat{j} \right) \, \text{N/C}. \] The associated magnetic field in Tesla is:
A light hollow cube of side length 10 cm and mass 10g, is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is \( y \pi \times 10^{-2} \) s, where the value of \( y \) is:
(Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \), density of water = \( 10^3 \, \text{kg/m}^3 \))
Regarding self-inductance: \( \text{A} \): The self-inductance of the coil depends on its geometry.
\( \text{B} \): Self-inductance does not depend on the permeability of the medium.
\( \text{C} \): Self-induced e.m.f. opposes any change in the current in a circuit.
\( \text{D} \): Self-inductance is the electromagnetic analogue of mass in mechanics.
\( \text{E} \): Work needs to be done against self-induced e.m.f. in establishing the current.
Choose the correct answer from the options given below:
A square closed loop of area A, lying in the horizontal plane, is moving horizontally with velocity \( v \) in a uniform vertical magnetic field \( B \). Which one of the following statements is FALSE?
When a DC voltage of 100 V is applied to an inductor, a DC current of 5 A flows through it. When an AC voltage of 200 V peak value is connected to the inductor, its inductive reactance is found to be \( 20\sqrt{3} \, \Omega \). The power dissipated in the circuit is _________ W.

What are electromagnetic waves? Draw their propagation diagram. Show the electric field amplitude and magnetic field amplitude in the propagation diagram. 
 

Define Mutual Inductance. Show that Henry = Newton Meter / Ampere².

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: