In a series \(RLC\) circuit, potential differences across \(R,L\) and \(C\) are \(30\) V, \(60\) V and \(100\) V respectively, as shown in the figure. The emf of the source (in volts) will be:

            

1. \(190\)

2. \(70\)

3. \(50\)

4. \(40\)

Subtopic:  Different Types of AC Circuits |
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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 |
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An alternating current of frequency \(f\) is flowing in a circuit containing a resistance \(R\) and a choke \(L\) in series. The impedance of this circuit will be:
1. \(R + 2\pi f L\)
2. \(\sqrt{R^{2} + 4 \pi^{2} f^{2} L^{2}}\)
3. \(\sqrt{R^{2} + L^{2}}\)
4. \(\sqrt{R^{2} + 2 \pi f L}\)
Subtopic:  Different Types of AC Circuits |
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In the circuit shown below, what will be the readings of the voltmeter and ammeter?
             

1. \(800~\text{V}, 2~\text{A}\)
2. \(300~\text{V}, 2~\text{A}\)
3. \(220~\text{V}, 2.2~\text{A}\)
4. \(100~\text{V}, 2~\text{A}\)

Subtopic:  Different Types of AC Circuits |
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In an \(LCR\) series network, \(V_L = 40~\text{V}, V_C = 20~\text{V}~\text{and}~V_R = 15~\text{V}.\) The supply voltage will be:
1. \(25~\text{V}\)
2. \(75~\text{V}\)
3. \(35~\text{V}\)
4. zero

Subtopic:  Different Types of AC Circuits |
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In an \(LCR\) circuit, the potential difference between the terminals of the inductance is \(60\) V, between the terminals of the capacitor is \(30\) V and that between the terminals of the resistance is \(40\) V. The supply voltage will be equal to:
1. \(50\) V

2. \(70\) V

3. \(130\) V

4. \(10\) V

Subtopic:  Different Types of AC Circuits |
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A series AC circuit has a resistance of \(4~\Omega\) and an inductor of reactance \(3~\Omega\). The impedance of the circuit is \(z_1\). Now when a capacitor of reactance \(6~\Omega\) is connected in series with the above combination, the impedance becomes \(z_2\). Then \(\frac{z_1}{z_2}\) will be:
1. \(1:1\)
2. \(5:4\)
3. \(4:5\)
4. \(2:1\)

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. \(\frac{f}{4}\)
2. \(8f\)
3. \(\frac{f}{2\sqrt{2}}\)
4. \(\frac{f}{2}\)

Subtopic:  Different Types of AC Circuits |
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In the circuit shown in the figure, neglecting source resistance, the voltmeter and ammeter reading respectively will be:

          

1. \(0~\text{V}, 3~\text{A}\)
2. \(150~\text{V}, 3~\text{A}\)
3. \(150~\text{V}, 6~\text{A}\)
4. \(0~\text{V}, 8~\text{A}\)

Subtopic:  Different Types of AC Circuits |
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Choose the correct statements regarding a series \(LCR\) circuit. 
1. voltage across the capacitor lags behind the current. 
2. voltage across the inductor leads the current. 
3. voltage across \(R\) is in phase with the current. 
4. all of the above. 
Subtopic:  Different Types of AC Circuits |
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