- 1(current)
Q. No.When the current in a coil changes from \(5~\text{A}\) to \(2~\text{A}\) in \(0.1~\text{s},\) the average voltage of \(50~\text{V}\) is produced. The self-inductance of the coil is:
1. \(1.67~\text{H}\)
2. \(6~\text{H}\)
3. \(3~\text{H}\)
4. \(0.67~\text{H}\)
1. \(1.67~\text{H}\)
2. \(6~\text{H}\)
3. \(3~\text{H}\)
4. \(0.67~\text{H}\)
Subtopic: Self - Inductance |
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Level 1: 80%+
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The total number of turns and the cross-sectional area of a solenoid are fixed. However, its length \(L\) is varied by adjusting the separation between the windings. The inductance of the solenoid will be proportional to:
| 1. | \(L\) | 2. | \(L^2\) |
| 3. | \(\dfrac{1}{L^2}\) | 4. | \(\dfrac{1}{L}\) |
Subtopic: Self - Inductance |
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The current in a coil of self-inductance \(2.0~\text{H}\) is increasing according to equation \(I=2 \sin t^2~\text{A}\). The amount of energy spent during the period when the current changes from \(0\) to \(2~\text{A}\) is:
1. \(4~\text{J}\)
2. \(3~\text{J}\)
3. \(1~\text{J}\)
4. \(6~\text{J}\)
1. \(4~\text{J}\)
2. \(3~\text{J}\)
3. \(1~\text{J}\)
4. \(6~\text{J}\)
Subtopic: Self - Inductance |
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Level 2: 60%+
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A \(10~\Omega\), \(20~\text{mH}\) coil carrying constant current is connected to a battery of \(20~\text{V}\) through a switch. When the switch is opened, the current becomes zero in \(100~\mu \text{s}\). The average emf induced in the coil is:
1. \(100~\text{V}\)
2. \(250~\text{V}\)
3. \(400~\text{V}\)
4. \(550~\text{V}\)
1. \(100~\text{V}\)
2. \(250~\text{V}\)
3. \(400~\text{V}\)
4. \(550~\text{V}\)
Subtopic: Self - Inductance |
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Level 2: 60%+
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A coil of inductance \(1\) H and resistance \(100~\Omega\) is connected to a battery of \(6\) V. Determine approximately:
(Given: \(\mathrm{ln}2 = 0.693, e^{\frac{-3}{2}}= 0.25\))
1. \(t =10~\text{ms}; U = 2~\text{mJ}\)
2. \(t =10~\text{ms}; U = 1~\text{mJ}\)
3. \(t =7~\text{ms}; U = 1~\text{mJ}\)
4. \(t =7~\text{ms}; U = 2~\text{mJ}\)
| I. | The time elapsed before the current acquires half of its steady–state value. |
| II. | The energy stored in the magnetic field associated with the coil at an instant \(15\) ms after the circuit is switched on. |
1. \(t =10~\text{ms}; U = 2~\text{mJ}\)
2. \(t =10~\text{ms}; U = 1~\text{mJ}\)
3. \(t =7~\text{ms}; U = 1~\text{mJ}\)
4. \(t =7~\text{ms}; U = 2~\text{mJ}\)
Subtopic: Self - Inductance |
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In a coil, the current changes from \(-2\) A to \(+2\) A in \(0.2\) s and induces an emf \(0.1\) V. The self-inductance of the coil is :
1. \(4\) mH
2. \(5\) mH
3. \(2.5\) mH
4. \(1\) mH
Subtopic: Self - Inductance |
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Level 1: 80%+
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