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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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
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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
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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. \(13.89~\text H\)

Subtopic:  Self - Inductance |
 71%
Level 2: 60%+
NEET - 2018
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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 |
 89%
Level 1: 80%+
NEET - 2016
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A coil of self-inductance \(L\) is connected in series with a bulb \(B\) and an AC source. The brightness of the bulb decreases when:
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.
Subtopic:  Self - Inductance |
 68%
Level 2: 60%+
AIPMT - 2013
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The current \((I)\) in the inductance is varying with time \((t)\) according to the plot shown in the figure. 


Which one of the following is the correct variation of voltage with time in the coil?
1. 2.
3. 4.
Subtopic:  Self - Inductance |
 74%
Level 2: 60%+
AIPMT - 2012
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A long solenoid has \(500\) turns. When a current of \(2 ~\text{A}\) is passed through it, the resulting magnetic flux linked with each turn of the solenoid is \(4\times 10^{-3} ~\text{Wb}\). The self-inductance of the solenoid is:
1. \(2.5 ~\text{H}\)
2. \(2.0 ~\text{H}\)
3. \(1.0 ~\text{H}\)
4. \(4.0 ~\text{H}\)

Subtopic:  Self - Inductance |
 80%
Level 1: 80%+
AIPMT - 2008
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For a coil having \(L=2~\text{mH},\) the current flow through it is \(I=t^2e^{-t}.\) The time at which emf becomes zero is:
1. \(2\) s
2. \(1\) s
3. \(4\) s
4. \(3\) s

Subtopic:  Self - Inductance |
 59%
Level 3: 35%-60%
AIPMT - 2001
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