Q. No.1. \(10\) A and \(100\) Hz
2. \(10\) A and \(50\) Hz
3. \(10\sqrt{2}\) A and \(50\) Hz
4. \(10\sqrt{2}\) A and \(100\) Hz
| 1. | \(\dfrac{1}{10}\) H | 2. | \(\dfrac{1}{100}\) H |
| 3. | \(\dfrac{1}{1000}\) H | 4. | \(\dfrac{1}{10^4}\) H |
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The RMS value of current in an AC circuit is \(10 ~\text A.\) The peak current in the circuit is:
1. \(1.41 ~\text A\)
2. \(14.1 ~\text A\)
3. \(7.07~\text A\)
4. \(0.707 ~\text A\)
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An alternating current is given by:
\(i=i_1\sin\omega t+i_2\cos \omega t. \)
What is the RMS value of the current?
| 1. | \( \dfrac{1}{\sqrt{2}}\left(i_1^2+i_2^2\right)^{1/2} \) | 2. | \(\dfrac{1}{\sqrt{2}}\left(i_1+i_2\right)^2 \) |
| 3. | \( \dfrac{1}{2}\left(i_1^2+i_2^2\right)^{1/2} \) | 4. | \( \dfrac{1}{\sqrt{2}}\left(i_1+i_2\right) \) |
In an AC circuit, alternating voltage \(e=200 \sqrt{2} \sin 100 t\) Volt is connected to a capacitor of capacity \(1~\mu \text{F}\). The RMS value of the current in the circuit is:
1. \(100\) mA
2. \(200\) mA
3. \(20\) mA
4. \(10\) mA
An alternating current (AC) flowing in a circuit cannot be measured by a DC-ammeter because:
| 1. | The average value of the current over a complete cycle is zero. |
| 2. | AC does not change its direction after a fixed time interval. |
| 3. | AC can damage the ammeter. |
| 4. | AC is more dangerous than DC. |
\(I=5 \sin (120 \pi t)~\text{A}\)
How long will the current take to reach the peak value starting from zero?
1. \(\frac{1}{60}~\text{s} \)
2. \(60~\text{s} \)
3. \(\frac{1}{120}~\text{s} \)
4. \(\frac{1}{240}~\text{s} \)
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A pure inductor of \(25.0~\text{mH}\) is connected to an AC source of \(220~\text{V}.\) The RMS current in the circuit is:
(The frequency of the source is \(50~\text{Hz}\))
1. \(20~\text{A}\)
2. \(25~\text{A}\)
3. \(28~\text{A}\)
4. \(32~\text{A}\)
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1. \(11\) A
2. \(22\) A
3. \(33\) A
4. \(44 \) A
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