Consider a long solenoid of length \(l\) and radius \(r.\) If \(n\) is the number of turns per unit length and \( \mu_0 \) is the permeability of free space, the inductance of the solenoid is:
1. \(2\mu_0 \pi n^2 r^2 l\)
2. \(\mu_0 \pi n^2 r^2 l\)
3. \(\mu_0 n^2 r^2 l\)
4. \((\mu_0/2 \pi)n^2r^2l\)
Subtopic:  Self - Inductance |
Level 3: 35%-60%
NEET - 2026
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Two identical inductors are connected in two different configurations, \(P\) and \(Q,\) where a time-varying current \(I(t)\) is flowing, as shown in the figure. The induced EMF between points \(a\) and \(b\) for configuration \(P\) is \(E_P\) and that for configuration \(Q\) is \(E_Q.\) The ratio \(E_P/E_Q\) is:
(Neglect the effect of mutual inductance.)
1. \(2\) 2. \(1/4\)
3. \(1/2\) 4. \(1\)
Subtopic:  Self - Inductance |
Level 4: Below 35%
NEET - 2026
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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 |
 64%
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 |
 79%
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 |
 86%
Level 1: 80%+
NEET - 2022
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