What Does an AC Generator Mean.

A long straight wire carries a current, $I=2$ ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie in the same horizontal plane, as shown in the figure. Two ends of the semi-circular rod are at distances $1 \mathrm{cm}$ and $4 \mathrm{cm}$ from the wire.  At time $t=0$, the rod starts moving on the rails with a speed $v=3.0 \mathrm{m} {\mathrm{s}}^{-1}$ (see the figure).

A resistor $R=1.4 \mathrm{\Omega }$ and a capacitor $C_0=5.0 \mathrm{\mu F}$ are connected in series between the rails. At time $t=0$, $C_0$ is uncharged. Which of the following statement(s) is (are) correct? [${\mu }_0=4\pi \times {10}^{-7}$ SI units. Take $\ln 2=0.7$]

Consider the situation given in figure. The wire $AB$ slides on the fixed rails with a constant velocity. If the wire $AB$ is replaced by a semicircular wire, the magnitude of the induced current will:

A constant magnetic field of $1 \mathrm{T}$ is applied in the $\mathrm{x}>0$ region. A metallic circular ring of radius $1 \mathrm{m}$ is moving with a constant velocity of $1 \mathrm{m} {\mathrm{s}}^{-1}$ along the $x$-axis. At $t=0 \mathrm{s}$, the centre $\mathrm{O}$ of the ring is at $\mathrm{x}=-1 \mathrm{m}$. What will be the value of the induced emf in the ring at $\mathrm{t}=1 \mathrm{s}$ ? (Assume the velocity of the ring does not change.)

A semicircle loop PQ of radius ’R’ is moved with velocity ’v’ in transverse magnetic field as shown in figure. The value of induced emf. between the ends of loop is : 
                                          

A magnet is made to oscillate with a particular frequency, passing through a coil as shown in figure. The time variation of the magnitude of e.m.f. generated across the coil during one cycle is :-

A semi circular loop of radius R is placed in a uniform magnetic field as shown. It is pulled with a constant velocity. The induced emf in the loop is:

The loop shown moves with a constant velocity ‘v’ in a uniform magnetic field of magnitude ‘B’ directed into the paper. The potential difference between P and Q is ’e’ : -
                     

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$

Consider the situation shown in figure. The wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a semicircular wire, then the induced current magnitude will

A thin flexible wire of length $L$ is connected to two adjacent fixed points and carries a current $I$ in the clockwise direction, as shown in the figure. When the system is put in a uniform magnetic field of strength $B$ going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is

A circular copper-ring of radius $r$ translates in its plane with a constant velocity $v$. A uniform magnetic field $B$ exists in the space in a direction perpendicular to the plane of the ring. Consider different pairs of diametrically opposite points on the ring.

(a) Between which pair of points is the emf maximum? What is the value of this maximum emf?

(b) Between which pair of points is the emf minimum? What is the value of this minimum emf?

A copper wire bent in the shape of a semicircle of radius $r$ translates in its plane with a constant velocity $v$. A uniform magnetic field $B$ exists in the direction perpendicular to the plane of the wire. Find the emf induced between the ends of the wire if

$\left(a\right)$ the velocity is perpendicular to the diameter joining free ends,

$\left(b\right)$ the velocity is parallel to this diameter.

If a disc is rotated about its axis and if magnetic field is uniform and along the axis of rotation than what the potential difference between the edges of diameter $AB$-