Motional EMF

The figure given below shows an arrangement by which current flows through the bulb (X) connected with coil B, when a.c. is passed through coil A.


(i) Name the phenomenon involved.

(ii) If a copper sheet is inserted in the gap between the coils, explain how the brightness of the bulb would change.

A conducting rod of length rotates with a uniform angular velocity $\omega$ about its perpendicular bisector. A uniform magnetic field $B$ exists parallel to the axis of rotation. The potential difference between the two ends of the rod

A $20 \mathrm{cm}$ long metallic rod is rotated with $210 \mathrm{rpm}$ about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field $0.2 \mathrm{T}$ parallel to the axis exists everywhere. The emf developed between the centre and the ring is _________$\mathrm{mV}$.

(Take $\pi =\frac{22}{7}$)

A metallic rod of $1 \mathrm{m}$ length is rotated with a frequency of $50$ revolution per second, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius $1 \mathrm{m}$ about an axis passing through the centre and perpendicular to the plane of the ring. A constant uniform magnetic field of $1 \mathrm{T}$ parallel to the axis is present everywhere. The emf between the centre and the metallic ring is

The spokes of a wheel are made of metal and their lengths are of one metre. On rotating the wheel about its own axis in a uniform magnetic field of $5\times {10}^{-5}$ tesla normal to the plane of wheel, a potential difference of $3.14\mathrm{mV}$ is generated between the rim and the axis. The rotational velocity of the wheel is

A conducting rod of length $l$ is hinged at point $O$. It is free to rotate in vertical plane. There exists a uniform magnetic field $\overrightarrow{B}$ in horizontal direction. The rod is released from position shown in the figure. When rod makes an angle $\theta$ from released position then potential difference between two ends of the rod is proportional to:

A conductor $ABOCD$ moves along its bisector with a velocity $1 \mathrm{m} {\mathrm{s}}^{-1}$ through a perpendicular magnetic field of $1 \mathrm{Wb} {\mathrm{m}}^{-2}$, as shown in figure. If all the four sides are $1 \mathrm{m}$ length each. If the induced emf between $A$ and $D$(in $\mathrm{V}$) is $n\sqrt{2}$, what is the value of $n$?

What is Faraday law and Lenz law?

The figure shows a rod of length $l$ with points $A$ and $B$ on it. The rod is moved in a uniform magnetic field $\left(B_0\right)$ in different ways as shown. In which case, the potential difference $\left(V_A-V_B\right)$ between $A$ and $B$ is minimum?

A thin semicircular conducting ring ($PQR$) of radius $r$ is falling with its plane vertical in a horizontal magnetic field $B$, as shown in the figure. The potential difference developed across the ring whẹn its speed is $v$, is:

A metallic rod of length $l$ is tied to a string of length $2I$ and made to rotate with angular speed $\omega$ on a horizontal table with one end of the string fixed. If there is a vertical magnetic field $B$ in the region, the e.m.f. induced across the ends of the rod is:

An equilateral triangular loop $ADC$ having some resistance is pulled with a constant velocity $v$ out of a uniform magnetic field directed into the paper. At time $t=0$, side $DC$ of the loop is at the edge of the magnetic field. The induced current $\left(i\right)$ versus time $\left(t\right)$ graph will be as

A conducting ring is placed in a uniform magnetic field with its plane perpendicular to the field. An emf is induced in the ring if

A semicircular wire of radius $R$ is rotated with constant angular velocity $\omega$ about an axis passing through one end and perpendicular to the plane of the wire. There is a uniform magnetic field of strength $B$. The induced e.m.f. between the ends is:

A rectangular coil has $60$ turns and its length and width is $20$ and $10 \mathrm{cm}$ respectively. The coil rotates at a speed of $1800$ rotation per minute in a uniform magnetic field of $0.5$ $\mathrm{T}$. Then the maximum induced emf will be-

A conducting $rodAC$ of length $4l$ and mass $m$ is rotating about point $O$ with angular momentum $J.$ A uniform magnetic field $B$ is directed into the paper. Given, $AO=l$ and $OC=3l.$ Then, $V_A-V_C$ is $\lambda$ times $\frac{BJ}{14M}$. What is the value of $\lambda$?

A semicircular insulated conductor of radius $0.5$ $\mathrm{m}$ (lying in $X-Z$ plane) is rotated at uniform angular speed of $4$$\mathrm{rad}{\mathrm{s}}^{-1}$ about an axis passing through one of the ends of the conductor (say $A$) in the presence of an external uniform magnetic field $B_0$. Both the axis of rotation and the magnetic field are normal to the plane of the semicircle. If the induced voltage between the ends of the conductor is $10$ $\mathrm{mV}$. What is the strength of magnetic field in $\mathrm{mT}$ ?

A copper rod of length $l$ is rotated about one end, perpendicular to the magnetic field $B$, with constant angular velocity $\mathrm{\omega }$. The induced emf between the two ends of the rod is,

A wheel with $20$ metallic spokes each $1 \mathrm{m}$ long is rotated with a speed of $120 \mathrm{rpm}$ in a plane perpendicular to a magnetic field of $0.4 \mathrm{G}.$ The induced emf between the axle and rim of the wheel will be, $\left(1 \mathrm{G}={10}^{-4} \mathrm{T}\right)$

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 $AB$-