The magnetic potential energy stored in a certain inductor is \(25\) mJ, when the current in the inductor is \(60\) mA. This inductor is of inductance:
1. \(0.138\) H
2. \(138.88\) H
3. \(1.389\) H
4. \(13.89\) H

Subtopic:  Self - Inductance |
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A long solenoid of diameter \(0.1\) m has \(2 \times 10^4\) turns per meter. At the center of the solenoid, a coil of \(100\) turns and radius \(0.01\) m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to \(0\) A from \(4\) A in \(0.05\) s. If the resistance of the coil is \(10\pi^2~\Omega\), then the total charge flowing through the coil during this time is:
1. \(16~\mu \text{C}\)
2. \(32~\mu \text{C}\)
3. \(16\pi~\mu \text{C}\)
4. \(32\pi~\mu \text{C}\)

Subtopic:  Faraday's Law & Lenz Law | Mutual Inductance |
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A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate dBdt. Loop 2 of radius R is outside the region of magnetic field as shown in the figure. Then the emf generated is-

                  

1. zero in loop 1 and zero in loop 2

2. -dBdtπr2 in loop 1 and-dBdtπr2 in loop 2

3. -dBdtπr2 in loop 1 and zero in loop 2

4. 2dBdtπr2 in loop 1 and zero in loop 2

Subtopic:  Faraday's Law & Lenz Law |
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A long solenoid has \(1000\) turns. When a current of \(4~\text{A}\) flows through it, the magnetic flux linked with each turn of the solenoid is \(4\times 10^{-3}~\text{Wb}\). The self-inductance of the solenoid is:
1. \(3~\text{H}\)
2. \(2~\text{H}\)
3. \(1~\text{H}\)
4. \(4~\text{H}\)
Subtopic:  Self - Inductance |
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