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Q. No.
An ideal inductor-resistor-battery circuit is switched on at \(t=0~\text{s}\). At time \(t\), the current is \(i=i_0\left(1-e^{\left(-\frac{t}{\tau}\right)}\right)\text{A}\), where \(i_0\) is the steady-state value. The time at which the current becomes \(0.5i_0\) is: [Given \(\text{ln}(2)= 0.693\)]
1. \(6.93 \times 10^3 ~\text{s}\)
2. \(6.93~\text{ms}\)
3. \(69.3~\text{s}\)
4. \(6.93~\text{s}\)
Subtopic: LR circuit |
60%
Level 2: 60%+
NEET - 2024
Hints
A conducting circular loop of face area \(2.5 \times 10^{-3}~\text{m}^2\) is placed perpendicular to a magnetic field which varies as \(B=0.5~\text{sin}(100 \pi t)~\text{T}\). The magnitude of induced EMF at time \(t= 0~\text{s}\) is:
| 1. | \(0.125 \pi~ \text{mV}\) | 2. | \(125 \pi ~\text{mV}\) |
| 3. | \(125 \pi~\text{V}\) | 4. | \(12.5 \pi~\text{mV}\) |
Subtopic: Faraday's Law & Lenz Law |
68%
Level 2: 60%+
NEET - 2024
Hints
A rod of length \(L\) rotates with a small 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 centre of the rod and an end is:
| 1. | \(\Large\frac{B\omega L^2}{8}\) | 2. | \(\Large\frac{B\omega L^2}{2}\) |
| 3. | \(\Large\frac{B\omega L^2}{4}\) | 4. | zero |
Subtopic: Motional emf |
Level 3: 35%-60%
NEET - 2024
Hints
In the above diagram, a strong bar magnet is moving towards solenoid-\(2\) from solenoid-\(1\). The direction of induced current in solenoid-\(1\) and that in solenoid-\(2\), respectively, are through the directions:
| 1. | \(BA\) and \(CD\) | 2. | \(AB\) and \(CD\) |
| 3. | \(BA\) and \(DC\) | 4. | \(AB\) and \(DC\) |
Subtopic: Faraday's Law & Lenz Law |
Level 3: 35%-60%
NEET - 2024
Hints
An emf is generated by an ac generator having \(100\) turn coil, of loop area \(1\) m2. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of \(0.05\) T perpendicular to the axis of rotation of the coil. The maximum value of emf is:
| 1. | \(3.14\) V | 2. | \(31.4\) V |
| 3. | \(62.8\) V | 4. | \(6.28\) V |
Subtopic: Motional emf |
75%
Level 2: 60%+
NEET - 2023
Hints
The magnetic energy stored in an inductor of inductance \(4~\mu\text{H}\) carrying a current of \(2~\text{A}\) is:
1. \(8~\mu \text{J}\)
2. \(4~\mu \text{J}\)
3. \(4~\text{mJ}\)
4. \(8~\text{mJ}\)
1. \(8~\mu \text{J}\)
2. \(4~\mu \text{J}\)
3. \(4~\text{mJ}\)
4. \(8~\text{mJ}\)
Subtopic: Self - Inductance |
78%
Level 2: 60%+
NEET - 2023
Hints
The magnetic flux linked to a circular coil of radius \(R\) is given by:
\(\phi=2t^3+4t^2+2t+5\) Wb.
What is the magnitude of the induced EMF in the coil at \(t=5\) s?
| 1. | \(108\) V | 2. | \(197\) V |
| 3. | \(150\) V | 4. | \(192\) V |
Subtopic: Faraday's Law & Lenz Law |
87%
Level 1: 80%+
NEET - 2022
Hints
An inductor coil of self-inductance \(10~\text{H}\) carries a current of \(1~\text{A}\). The magnetic field energy stored in the coil is:
| 1. | \(10~\text{J}\) | 2. | \(2.5~\text{J}\) |
| 3. | \(20~\text{J}\) | 4. | \(5~\text{J}\) |
Subtopic: Self - Inductance |
85%
Level 1: 80%+
NEET - 2022
Hints
The dimensions of mutual inductance \((M)\) are:
| 1. | \(\left[M^2LT^{-2}A^{-2}\right]\) | 2. | \(\left[MLT^{-2}A^{2}\right]\) |
| 3. | \(\left[M^{2}L^{2}T^{-2}A^{2}\right]\) | 4. | \(\left[ML^{2}T^{-2}A^{-2}\right]\) |
Subtopic: Mutual Inductance |
75%
Level 2: 60%+
NEET - 2022
Hints
The current in an inductor of self-inductance \(4~\text{H}\) changes from \(4~ \text{A}\) to \(2~\text{A}\) in \(1~ \text s\). The emf induced in the coil is:
1. \(-2~\text{V}\)
2. \(2~\text{V}\)
3. \(-4~\text{V}\)
4. \(8~\text{V}\)
Subtopic: Self - Inductance |
85%
Level 1: 80%+
NEET - 2022
Hints
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