The magnetic potential energy stored in a certain inductor is \(25~\text{mJ},\) when the current in the inductor is \(60~\text{mA}.\) This inductor is of inductance:
| 1. | \(0.138~\text H\) | 2. | \(138.88~\text H\) |
| 3. | \(1.389~\text H\) | 4. | \(13.89~\text H\) |
A conducting square frame of side \(a\) and a long straight wire carrying current \(I\) are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity \(v.\) The emf induced in the frame will be proportional to:

| 1. | \( \dfrac{1}{x^2} \) | 2. | \( \dfrac{1}{(2 x-a)^2} \) |
| 3. | \( \dfrac{1}{(2 x+a)^2} \) | 4. | \(\dfrac{1}{(2 x-a)(2 x+a)}\) |
| 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. |
As a result of change in the magnetic flux linked to the closed loop shown in the figure, an e.m.f. V volt is induced in the loop. The work done (joules) in taking a charge Q coulomb once along the loop is-

1. QV
2. QV/2
3. 2QV
4. Zero
The current \((I)\) in the inductance is varying with time \((t)\) according to the plot shown in the figure.

| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
The current \(i\) in a coil varies with time as shown in the figure. The variation of induced emf with time would be:

| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
Two coils of self-inductance \(2~\text{mH}\) and \(8~\text{mH}\) are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is:
1. \(10~\text{mH}\)
2. \(6~\text{mH}\)
3. \(4~\text{mH}\)
4. \(16~\text{mH}\)
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