Electromagnetic Induction

Inside a solenoid of radius 0.5 m , magnetic field is changing at a rate of $50 \times 10^{-6} \mathrm{~T} / \mathrm{s}$. Acceleration of an electron placed at a distance of 0.3 m from axis of solenoid will be

There are two long co-axial solenoids of same length $l$. The inner and outer coils have radii $r_1$ and $r_2$ and number of turns per unit length $n_1$ and $n_2$, respectively. The ratio of mutual inductance to the…

A rectangular loop of length 2.5 m and width 2 m is placed at $60^{\circ}$ to a magnetic field of 4 T . The loop is removed from the field in 10 sec . The average emf induced in the loop during this time is

A $12 \mathrm{~V}$ battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in the circuit. The switch is opened in $1 \mathrm{~ms}$. The emf induced across the coil is $20…

A conducting loop of radius $\frac{10}{\sqrt{\pi}} \mathrm{cm}$ is placed perpendicular to a uniform magnetic field of $0.5 T$. The magnetic field is decreased to zero in $0.5 s$ at a steady rate. The induced emf in the…

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes $\mathrm{x}$ times its initial resonant frequency $\omega_0$.…

A metal disc of radius $100 \mathrm{~cm}$ is rotated at a constant angular speed of $60 \mathrm{rad} / \mathrm{s}$ in a plane at right angles to an external field of magnetic induction $0.05 \mathrm{~Wb} /…

A semicircular wire of radius $r$ rotates in uniform magnetic field $B$ about its diameter with angular velocity $ω$. If the total resistance of the circuit is $R$, then the mean power generated per period of rotation is

A conducting circular loop is placed in a uniform magnetic field, $B=0\cdot 025 T$ with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of $1 \text{mm} {s}^{-1}$. The…

A conducting circular loop is placed in a uniform magnetic field of $0.04 \mathrm{~T}$ with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at $2 \mathrm{~mm} / \mathrm{s}$. The…

A conducting square loop is placed in a magnetic field $B$ with its plane perpendicular to the field. The sides of the loop start shrinking at a constant rate $\alpha$. The induced emf in the loop at an instant when its…

A coil 10 turns and a resistance of $20 \Omega$ is connected in series with B.G of resistance $30 \Omega$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction…