Laws of Electromagnetic Induction

(i) In an a.c. generator, coil of $N$ turns and area $A$ is rotated at $v$ revolution per second in a uniform magnetic field $B$. Write the expression for the emf produced.

(ii) A $100$ turn coil of area  $0.1{\text{ m}}^{\text{2}}$  rotates at half a revolution per second. It is placed in a magnetic field $0.01 \mathrm{T}$ perpendicular to the axis of rotation of the coil. Calculate the maximum voltage generated in the coil.

Will the earth’s magnetic field induce any current in the metallic surface of an artificial satellite when it is orbiting around the poles?

Which one is the correct relation between magnetic flux $\left(\varphi \right)$. magnetic field $\left(B\right)$, area surface $A$ and angle between the magnetic field lines and perpendicular distance normal to the surface area($\theta$)

A wire of infinite length carrying current $I$ lies along the z-axis. A square loop of side $\ell$ is placed such that the plane of the loop makes an angle $74°$ with the positive $x-$axis at $\left(\ell ,0,0\right)$ and side $AB$ touches the $x-$axis and parallel to $z-$axis as shown in the figure. The magnetic flux passing through the loop is $\frac{k{\mu }_0\ell }{\pi }$. Find the value of $k$. [take $I=10 \mathrm{A}, \ln \left(1.6\right)=0.47$ and $\tan 37°=\frac{3}{4}$]

If a coil of metal wire is kept stationary in a uniform magnetic field, then _____.

Which of the following operations between the magnetic field and the area gives the magnetic flux?

The law of electromagnetic induction has been used in the construction of

What is the equivalent inductance between $A$ and $B$?

The working of a generator is based upon

An infinitely long cylinder is kept parallel to a uniform magnetic field $B$ direction along positive $z-$axis. The direction of induced current on the surface of cylinder a seen from the $z-$axis will be

Two contour whose planes are parallel to each other and are separated by a certain distance. Both are carrying current in the same direction. $A$ is fixed & $B$ can be positioned in different manner with respect to the first



Different positions are such that plane of $B$ turned by $90°$, or by $180°,$ and in third case it is just moved parallel to itself over a certain distance. One has to do work to bring $B$ in any of above positions. These works are $W_1 \text{for} 90°, W_2 \text{for} 180°,$ and for third case $W_3.$ Among $W_1, W_2, W_3:$

A uniform current carrying ring of mass m and radius $\mathrm{R}$ is connected by a massless string as shown. A uniform magnetic field ${\mathrm{B}}_0$ exist in the region to keep the ring in horizontal position, then the current in the ring is $\left(\mathcal{l}=\mathrm{l}\mathrm{e}\mathrm{n}\mathrm{g}\mathrm{t}\mathrm{h}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{ }\mathrm{s}\mathrm{t}\mathrm{r}\mathrm{i}\mathrm{n}\mathrm{g}\right)$ -

A circular coil of diameter $21 \mathrm{cm}$ is placed in a magnetic field of induction ${10}^{-4} \mathrm{T}$. The magnitude of flux linked with the coil when the plane of coil makes an angle of $30°$ with the field is,

An infinitely long cylinder is kept parallel to a uniform magnetic field $B$ directed along positive $z$ axis. This direction of induced current as seen from the $z$ axis will be:

When a sheet of metal is placed in a magnetic field, which changes from zero to a maximum value, the induced currents are set up in the direction shown in figure. What is the direction of magnetic field.

A circular disc of the radius $0.2 \mathrm{m}$ is placed in a uniform magnetic field of induction $\frac{1}{\pi } \mathrm{Wb}\hspace{0.17em}{\mathrm{m}}^{-2}$ in such a way that its axis makes an angle of $60°$ with $\overrightarrow{B}$. The magnetic flux linked with the disc is

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)