\(AB\) is a part of an electrical circuit (see figure). The potential difference \(''V_{A}-V_{B}'',\) at the instant when current \(i=2~\text A\) and is increasing at a rate of \(1~\text{amp/second}\) is:
            
1. \(9~ \text{volts}\)
2. \(10~ \text{volts}\)
3. \(5~ \text{volts}\)
4. \(6~ \text{volts}\)
Subtopic:  LR circuit |
 58%
Level 3: 35%-60%
NEET - 2025
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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
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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
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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
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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
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Let us consider two solenoids \(A\) and \(B,\) made from the same magnetic material of relative permeability \(\mu_{r}\) and of equal area of cross-section. Length of \(A\) is twice that of \(B\) and the number of turns per unit length in \(A\) is half that of \(B.\) The ratio of self-inductances of the two solenoids, \(L_A:L_B\) is:
1. \(1:2\)
2. \(2:1\)
3. \(8:1\)
4. \(1:8\)
Subtopic:  Self - Inductance |
 65%
Level 2: 60%+
NEET - 2024
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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. \(8~\text{mJ}\)
Subtopic:  Self - Inductance |
 77%
Level 2: 60%+
NEET - 2023
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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
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A square loop with a side length of \(1~\text m\) and resistance of \(1~\Omega\) is placed in a uniform magnetic field of \(0.5~\text T.\) The plane of the loop is perpendicular to the direction of the magnetic field. The magnetic flux through the loop is:
1. zero
2. \(2\) Wb
3. \(0.5\) Wb
4. \(1\) Wb
Subtopic:  Magnetic Flux |
 68%
Level 2: 60%+
NEET - 2022
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A big circular coil with \(1000\) turns and an average radius of \(10~\text{m}\) is rotating about its horizontal diameter at a rate of \(2~\text{rad s}^{-1}.\) The vertical component of the Earth's magnetic field at that location is \(2\times 10^{-5}~\text{T},\) and the electrical resistance of the coil is \(12.56~\Omega,\) the maximum induced current in the coil will be:
1. \(2~\text{A}\) 2. \(0.25~\text{A}\)
3. \(1.5~\text{A}\) 4. \(1~\text{A}\)
Subtopic:  Faraday's Law & Lenz Law |
 58%
Level 3: 35%-60%
NEET - 2022
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