Induced Electric Field

A circular loop of wire is placed in a uniform magnetic field perpendicular to the plane of loop. An emf is induced in the loop if

A metal rod is moved with a uniform velocity in a magnetic field. A potential difference is developed across the two ends of the rod if

Find correct statement for, A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it.

A field line is shown in Fig. $9.78$. The field cannot represent

Determine electrical power dissipated could be. A short-circuited coil is placed in a time varying magnetic field. Electrical power is dissipated due to the current induced in the coil. If the number of turns were to be quadrupled (four times) and the wire radius halved.

A metallic square loop $ABCD$ is moving in its own plane with velocity $v$ in a uniform magnetic field perpendicular to its plane as shown. Electric field is induced

A uniform but time-varying magnetic field $B\left(t\right)$ exists in a circular region of radius $a$ and is directed into the plane of the paper a shown, Fig. $9.74$ The magnitude of the induced electric field at point $P$ at a distance $r$ from the centre of the circular region

A thin semicircular conducting ring of $R$ is falling with its plane vertical in a horizontal magnetic induction $\overrightarrow{B}$, Fig. $9.73$. At the position $MNQ$ the speed of the ring is $v$ and the potential difference developed across the ring is 

A conducting square loop of side $L$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. A magnetic induction $B$, constant in time and space, pointing perpendicular to and into the plane of the loop exists everywhere. The current induced in the loop is

Two identical circular loops of metal wire are lying on a table without touching each other. Loop-A carries a current which increases with time. What happens to loop $B$?

Select the correct statement from the following. A metal rod moves at a constant velocity in a direction perpendicular to its length. A constant uniform magnetic field exists in space in a direction perpendicular to the rod as well as its velocity. Select the correct statement from the following

The average emf induced in the coil, in $mV$ is, when a coil has $1000$ turns and $500{ \mathrm{cm}}^2$ as its area. The plane of the coil is placed at right angles to a magnetic induction field of $2\times {10}^{-5} {\mathrm{Wbm}}^{-2}$. The coil is rotated through $180°$ in $0.2 \mathrm{s}$.

A rectangular loop of length $l$ and breadth $b$ is placed at a distance of $x$ from infinitely long wire carrying current $l$ such that the direction of current is parallel to breadth. If the loop moves with a velocity $v$ away from the current wire in a direction perpendicular to it, the magnitude of the emf

In a uniform magnetic field of inductance $B$, a wire in the form of semicircular of radius $r$ rotates about the diameter of the circle with angular frequency $\omega$. If the total resistance of the circuit is $R$, the mean power generated per period of rotation is

A rectangular $ABCD$ which is rotated at a constant angular velocity about a horizontal axis as shown in Fig. $9.72$. The axis of rotation of the coil as well as the magnetic field are horizontal. Maximum current will flow in the circuit when the plane of the coil is

The graph between time (x -axis) and induced emf (y -axis) will be. Where flux linked with a circuit is given by $\mathrm{\Phi }={\mathrm{t}}^3+3\mathrm{t}-7$.

On moving coils further apart, the electric current will. Two similar circular loops carry equal currents in the same direction.

The instantaneous value of the induced potential gradient in the wire, from west to east, is. A horizontal straight wire $10 \mathrm{m}$ long extending from east to west is falling with a speed of $5{ \mathrm{ms}}^{-1}$, at right angles to the horizontal component of the earth's magnetic field of strength $0.30\times {10}^{-4}{\mathrm{Wbm}}^{-2}$.

Near a circular loop of conducting wire as shown in the figure, Fig. 9.66, an electron moves along a straight line. The direction of induced current, if any, in the loop is 

The figure shows a 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, Fig. The magnitude of the field increases with time. ${\mathrm{I}}_1$ and ${\mathrm{I}}_2$ are the currents in the segment a b and c d. Then