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Q. No.The power factor of a series \(LCR\) circuit in resonance condition is:
1.
zero
2.
\(\dfrac{1}{2}\)
3.
\(\dfrac{1}{\sqrt{2}}\)
4.
\(1\)
Subtopic: Power factor |
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What is the instantaneous power of a resistor having resistance \(R\) across an AC supply of \(E= E_0\sin(\omega t)\)?
| 1. | \(\dfrac{E_{0}^{2}}{R} \sin^{2}\omega t\) | 2. | \(\dfrac{E_{0}^{2}}{R}\cos^{2}\omega t\) |
| 3. | \(\dfrac{E_{0}^{2}}{R}\) | 4. | \(\text{zero}\) |
Subtopic: Power factor |
55%
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In a step-up transformer, the turn ratio is \(1:20\). The resistance of \(100~\Omega\) connected across the secondary is drawing a current of \(2~\text{A}\).
What are the primary voltage and current respectively?
1. \(100~\text{V}, 0.5~\text{A}\)
2. \(200~\text{V},10~\text{A}\)
3. \(10~\text{V}, 40~\text{A}\)
4. \(10~\text{V}, 20~\text{A}\)
Subtopic: Transformer |
79%
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Voltage and current in an AC circuit are given by \(V=5\sin\left (100\pi t-\frac{\pi }{6}~ \right)~\text{V}\) and \(I=4\sin\left (100\pi t+\frac{\pi }{6}~\right)~\text{A}.\)
Hence:
Hence:
| 1. | The voltage leads the current by \(30^{\circ}\). |
| 2. | The current leads the voltage by \(30^{\circ}\). |
| 3. | The current leads the voltage by \(60^{\circ}\). |
| 4. | The voltage leads the current by \(60^{\circ}\). |
Subtopic: RMS & Average Values |
70%
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An alternating voltage (in volts) given by \(V=200\sqrt{2}\sin100t\) is connected to a \(1~\mu \text{F}\) capacitor through an \(\text{AC}\) ammeter. The reading of the ammeter will be:
| 1. | \(10~\text{mA}\) | 2. | \(20~\text{mA}\) |
| 3. | \(40~\text{mA}\) | 4. | \(80~\text{mA}\) |
Subtopic: Different Types of AC Circuits |
88%
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It is found that the current through the \(LCR\) series circuit is at its maximum. If \(V_r, V_C~\text{and}~V_L\) are potential differences across resistance, capacitor, and inductor respectively, then which of the following is correct?
| 1. | \(V_r=V_L>V_C\) |
| 2. | \(V_R \neq V_L=V_C\) |
| 3. | \(V_R \neq V_L \neq V_C\) |
| 4. | \(V_R=V_C \neq V_L\) |
Subtopic: Different Types of AC Circuits |
82%
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In a series \(LCR\) circuit, the current through the AC source is \(2\) A. If resistor \(R\) has a resistance of \(10~\Omega\), the average power dissipated in the circuit is:
| 1. | \(20\) W | 2. | \(30\) W |
| 3. | \(10\) W | 4. | \(40\) W |
Subtopic: Power factor |
78%
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A capacitor of capacitance \(1~\mu\text{F}\) is charged to a potential of \(1\) V. It is connected in parallel to an inductor of inductance \(10^{-3}~\text{H}\).
What is the value of the maximum current that will flow in the circuit?
1. \(\sqrt{1000}~\text{mA}\)
2. \(1~\text{mA}\)
3. \(1~\mu\text{F}\)
4. \(1000~\text{mA}\)
Subtopic: Different Types of AC Circuits |
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In a box \(Z\) of unknown elements (\(L\) or \(R\) or any other combination), an ac voltage \(E = E_0 \sin(\omega t + \phi)\) is applied and the current in the circuit is found to be \(I = I_0 \sin\left(\omega t + \phi +\frac{\pi}{4}\right)\). The unknown elements in the box could be:
| 1. | Only the capacitor |
| 2. | Inductor and resistor both |
| 3. | Either capacitor, resistor, and an inductor or only capacitor and resistor |
| 4. | Only the resistor |
Subtopic: Different Types of AC Circuits |
64%
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What is the average power dissipated in the AC circuit if current \(i = 100\sin(100t)\) A and \(V = 100\sin\left(100t+\frac{\pi}{3}\right)\) volts?
| 1. | \(2500\) W | 2. | \(250\) W |
| 3. | \(5000\) W | 4. | \(4000\) W |
Subtopic: Power factor |
76%
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