Electromagnetic Induction

List-I contains four conducting loops lying in the $XY$ plane, as shown in the figures. The loops are rotating about $Z$ axis passing through the point $O$ with time period $T$ in clockwise direction.
The region $x>0$ contains a uniform mag...

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d, where $d^2 \gg S$. There is another coil of length $d/2$, cross sectional area $S/2$ and $2N$ turns ...

A conducting square loop of side $L$, mass $M$ and resistance $R$ is moving in the $X Y$ plane with its edges parallel to the $X$ and $Y$ axes. The region $y \geq 0$ has a uniform magnetic field, $\vec{B}=B_0 \widehat{k}$. The magnetic fiel...

A conducting square loop initially lies in the $X Z$ plane with its lower edge hinged along the $X$-axis. Only in the region $y \geq 0$, there is a time dependent magnetic field pointing along the $Z$-direction, $\vec{B}(t)=B_0(\cos \omega ...

A region in the form of an equilateral triangle (in $x-y$ plane) of height $L$ has a uniform magnetic field $\vec{B}$ pointing in the $+z$-direction. A conducting loop $\mathrm{PQR}$, in the form of an equilateral triangle of the same heigh...

A thin conducting rod $M N$ of mass $20 ~\mathrm{gm}$, length $25 \mathrm{~cm}$ and resistance $10 ~\Omega$ is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field $B_0=4 ...

Consider an LC circuit, with inductance $L=0.1 \,\mathrm{H}$ and capacitance $C=10^{-3} \mathrm{~F}$, kept on a plane. The area of the circuit is $1 \mathrm{~m}^{2}$. It is placed in a constant magnetic field of strength $B_{0}$ which is pe...

The inductors of two LR circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistors, mutual-inductance and applied voltages are specified in the given circuit. After both the...

A 10 cm long perfectly conducting wire PQ is moving with a velocity I cm/s on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor L = 1 mH and a resistance R = 1\(\Omega\) as shown in figure. Th...

A conducting wire of parabolic shape, initially y = x2, is moving with velocity \(v = {v_0}\widehat i\) in a non-uniform magnetic field \(B = {B_0}\left( {1 + {{\left( {{y \over L}} \right)}^\beta }} \right)\widehat k\), as shown in figure....

In the figure below, the switches \({S_1}\) and \({S_2}\) are closed simultaneously at \(t=0\) and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are a...

A source of constant voltage V is connected to a resistance R and two ideal inductors L1 and L2 through a switch S as shown. There is no mutual inductance between the two inductors. The switch S is initially open. At t = 0, the switch is cl...

A circular insulated copper wire loop is twisted to form two loops of area \(A\) and \(2A\) as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the ...

A rigid wire loop of square shape having side of length L and resistance R is moving along the X-axis with a constant velocity v0 in the plane of the paper. At t = 0, the right edge of the loop enters a region of length 3L where there is a ...

Two inductors L1 (inductance 1mH, internal resistance 3\(\Omega\)) and L2 (inductance 2 mH, internal resistance 4\(\Omega\)), and a resistor R (resistance 12\(\Omega\)) are all connected in parallel across a 5V battery. The circuit is switc...

A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the 90\(^\circ\) vertex is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the ...

A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it, the correct statement(s) is(are)

A circular wire loop of radius R is placed in the xy plane centred at the origin O. A square loop of side a(a << R) having two turns is placed with its centre at z = \(\sqrt3\)R along the axis of the circular wire loop, as shown in the figu...

Two metallic rings A and B, identical in shape and size but having different resistivities \(\rho_A\) and \(\rho_B\), are kept on top of two identical solenoids as shown in the figure below. When current I is switched on in both the solenoi...

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. The magnitude of the field increases with time. $$I_1$...

Which force causes the train to elevate upwards

What is the disadvantage of this system?

What is the advantage of this system?

A long solenoid of radius a and number of turns per unit length \(n\) is enclosed by cylindrical shell of radius R, thickness \(d\) \((d < < R)\) and length L. A variable current \(\mathrm{I}=\mathrm{I}_{0} \sin \omega t\) flows through the...