The figure shows a bar magnet and a metallic coil. Consider four situations.
(I) | Moving the magnet away from the coil. |
(II) | Moving the coil towards the magnet. |
(III) | Rotating the coil about the vertical diameter. |
(IV) | Rotating the coil about its axis. |
An EMF in the coil will be generated for the following situations.
1. | (I) and (II) only |
2. | (I), (II), and (IV) only |
3. | (I), (II), and (III) only |
4. | (I), (II), (III), and (IV) |
Rings are rotated and translated in a uniform magnetic field as shown in the figure. Arrange the magnitude of emf induced across \(AB\):
1. | \(\mathrm{emf_{a}<emf_{b}<emf_{c}}\) |
2. | \(\mathrm{emf_{a}=emf_{b}<emf_{c}}\) |
3. | \(\mathrm{emf_{a}={emf}_{c}<{emf}_{b}}\) |
4. | \(\mathrm{emf_{a}<emf_{b}={emf}_{c}}\) |
A cycle wheel of radius \(0.5\) m is rotated with a constant angular velocity of \(10\) rad/s in a region of a magnetic field of \(0.1\) T which is perpendicular to the plane of the wheel. The EMF generated between its centre and the rim is:
1. | \(0.25\) V | 2. | \(0.125\) V |
3. | \(0.5\) V | 4. | zero |
1. \(26~\text{V}\)
2. \(14~\text{V}\)
3. \(16~\text{V}\)
4. \(6~\text{V}\)
A \(800\) turn coil of effective area \(0.05~\text{m}^2\) is kept perpendicular to a magnetic field \(5\times 10^{-5}~\text{T}\). When the plane of the coil is rotated by \(90^{\circ}\)around any of its coplanar axis in \(0.1~\text{s}\), the emf induced in the coil will be:
1. | \(0.02~\text{V}\) | 2. | \(2~\text{V}\) |
3. | \(0.2~\text{V}\) | 4. | \(2\times 10^{-3}~\text{V}\) |
In which of the following devices, the eddy current effect is not used?
1. Electric heater
2. Induction furnace
3. Magnetic braking in train
4. Electromagnet
The current \((I)\) in the inductance is varying with time \((t)\) according to the plot shown in the figure.
1. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |
A coil of resistance \(400~\Omega\) is placed in a magnetic field. The magnetic flux \(\phi~\text{(Wb)}\) linked with the coil varies with time \(t~\text{(s)}\) as \(\phi=50t^{2}+4.\) The current in the coil at \(t=2~\text{s}\) is:
1. \(0.5~\text{A}\)
2. \(0.1~\text{A}\)
3. \(2~\text{A}\)
4. \(1~\text{A}\)
1. | twice per revolution. |
2. | four times per revolution. |
3. | six times per revolution. |
4. | once per revolution. |
1. | number of turns in the coil is reduced. |
2. | a capacitance of reactance \(X_C = X_L\) is included in the same circuit. |
3. | an iron rod is inserted in the coil. |
4. | frequency of the AC source is decreased. |