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

Let us consider two solenoids $A$ and $B$, made from same magnetic material of relative permeability $\mu_r$ and equal area of cross-section. Length of $A$ is twice that of $B$ and the number of turns per unit length in $A$ is half that of $B$. The ratio of self inductances of the two solenoids, $L_A: L_B$ is
An emf is generated by an ac generator having 100 turn coil, of loop area $1 \mathrm{~m}^2$. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of $0.05 \mathrm{~T}$ perpendicular to the axis of rotation of the coil. The maximum value of emf is :-
The net magnetic flux through any closed surface is :
The magnetic flux linked to a circular coil of radius R is
$\phi = 2{t^3} + 4{t^2} + 2t + 5$ Wb
The magnitude of induced emf in the coil at t = 5 s is
A square loop of side 1 m and resistance 1 $\Omega$ is placed in a magnetic field of 0.5 T. If the plane of loop is perpendicular to the direction of magnetic field, the magnetic flux through the loop is
The potential difference developed across the ring when its speed is $v$, is
The current in the coil at t = 2 sec is





Assertion : A metallic surface is moved in and out in magnetic field then emf is induced in it.
Reason : Eddy current will be produced in a metallic surface moving in and out of magnetic field.
A system $S$ consists of two coils $A$ and $B$. The coil $A$ carries a steady current $I$. While the coil $B$ is suspended nearby as shown in figure. Now, if the system is heated, so as to raise the temperature of two coils steadily, then

A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 20 A flows through the smaller loop, then the flux linked with bigger drop is

