Q. No.
In which of the following circuits can the power factor be zero?
1. LC circuit
2. LCR circuit
3. Purely resistive circuit
4. Both (1) & (2)
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The circuit is in a steady state when the key is at position \(1\). If the switch is changed from position \(1\) to position \(2\), then the steady current in the circuit will be:
| 1. | \(E_o \over R\) | 2. | \(E_o \over 3R\) |
| 3. | \(E_o \over 2R\) | 4. | \(E_o \over 4R\) |
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An LC circuit contains an inductor (L=25 mH) and a capacitor (C=25 mF) with an initial charge of Q0. At what time will the circuit have an equal amount of electrical and magnetic energy?
4. All of these
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When an alternating voltage is given as; \(E = (6 \sin\omega t - 2 \cos \omega t)~\text V,\) what is its RMS value?
1. \(4 \sqrt 2 ~\text V\)
2. \(2 \sqrt 5 ~\text V\)
3. \(2 \sqrt 3 ~\text V\)
4. \(4 ~\text V\)
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What is the value of the power factor for a parallel LC circuit at a frequency less than the resonance frequency?
1. Zero
2. 1
3. > 1
4.< 1
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1. \(\dfrac{\pi }{\sqrt{3}}~\text{H}\)
2. \(100~\text{H}\)
3. \(\dfrac{\sqrt{2}}{\pi }~\text{H}\)
4. \(\dfrac{\sqrt{3}}{\pi }~\text{H}\)
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| 1. | \(2500\) W | 2. | \(250\) W |
| 3. | \(5000\) W | 4. | \(4000\) W |
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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 |
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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. \(1000~\text{mA}\)
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| 1. | \(20\) W | 2. | \(30\) W |
| 3. | \(10\) W | 4. | \(40\) W |
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