# A direct current of 5 A is superimposed on an alternating current I = 10$\mathrm{sin}\omega t$ flowing through a wire. The effective value of the resulting current will be: 1. $$15/2~A$$ 2.  3.  4. 15 A

Subtopic:  AC vs DC |
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An L-C-R series circuit with 100 Ω resistance is connected to an AC source of 200 V and an angular frequency of 300 rad/s. When only the capacitance is removed, the current lags behind the voltage by $60°$. When only the inductance is removed, the current leads the voltage by $60°$. Calculate the power dissipated in the L-C-R circuit.

1. 200 W

2. 400 W

3. 300 W

4. Zero

Subtopic:  Power factor |
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For which of the following reasons are LC oscillations not sustainable for long?

 1 Every inductor has some resistance. 2 The effect of resistance is to introduce a damping effect on the charge & current in the circuit and the oscillations finally die away. 3 Even if the resistance is zero, the total energy of the system is radiated away from the system in the form of electromagnetic radiation. 4 All of the above
Subtopic:  LC Oscillations |
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An ideal resistance R, ideal inductance L, ideal capacitance C, and AC voltmeters  are connected to an AC source as shown. At resonance:

1. Reading in $$V_3$$ = Reading in $$V_1$$
2. Reading in $$V_1$$ = Reading in $$V_2$$
3. Reading in $$V_2$$ = Reading in $$V_4$$
4. Reading in $$V_2$$ = Reading in $$V_3$$

Subtopic:  Different Types of AC Circuits |
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A transistor-oscillator using a resonant circuit with an inductance L (of negligible resistance) and a capacitance C has a frequency f. If L is doubled and C is changed to 4C, the frequency will be:

1. f/4

2. 8f

3. f/(2√2)

4. f/2

Subtopic:  Different Types of AC Circuits |
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In an L-C-R series AC circuit, the voltage across each of the components L, C and R is 50 V. The voltage across the L-R combination will be:
1. 50 V
2. $$50 \sqrt{2} ~V$$
3. 100 V
4. 0 V

Subtopic:  Different Types of AC Circuits |
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An ac voltage source is connected to a series LCR circuit. When L is removed from the circuit, the phase difference between current and voltage is π/3. If C is instead removed from the circuit, the phase difference is again π/3 between current and voltage. The power factor of the circuit is:

1. 0.5

2. 1.0

3. $-1.0$

4. Zero

Subtopic:  Power factor |
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If q is the capacitor's charge and i is the current at time t, the voltage V will be:

1. $\mathrm{L}\frac{\mathrm{di}}{\mathrm{dt}}+\mathrm{iR}-\frac{\mathrm{q}}{\mathrm{C}}=\mathrm{V}$

2. $\mathrm{L}\frac{\mathrm{di}}{\mathrm{dt}}-\mathrm{iR}+\frac{\mathrm{q}}{\mathrm{C}}=\mathrm{V}$

3. $\mathrm{L}\frac{\mathrm{di}}{\mathrm{dt}}+\mathrm{iR}+\frac{\mathrm{q}}{\mathrm{C}}=\mathrm{V}$

4. $\mathrm{L}\frac{\mathrm{di}}{\mathrm{dt}}-\mathrm{iR}-\frac{\mathrm{q}}{\mathrm{C}}=\mathrm{V}$

Subtopic:  Different Types of AC Circuits |
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An AC ammeter is used to measure the current in a circuit. When a given direct current passes through the circuit, the ac ammeter reads 6 A. When another alternating current passes through the circuit, the AC ammeter reads 8 A. Then the reading of this ammeter if DC and AC flow through the circuit simultaneously is:

1. $10\sqrt{2}$ A

2. 14 A

3. 10 A

4. 15 A

Subtopic:  AC vs DC |
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The AC source in the circuit shown in the figure produces a voltage V = 20cos(2000t) volts. Neglecting source resistance, the voltmeter and ammeter readings will be (approximately):

1. 4 V, 2.0 A

2. 0 V, 2 A

3. 0 V, 1.4 A

4. 8 V, 2.0 A

Subtopic:  Different Types of AC Circuits |
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