In the circuit shown in the figure, the ac source gives a voltage V=20cos(2000 ​t). Neglecting source resistance, the voltmeter and ammeter reading will be: 

(1) 0V, 0.47A

(2) 1.68V, 0.47A

(3) 0V, 1.4 A

(4) 5.6V, 1.4 A

Subtopic:  RMS & Average Values |
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An ac source of angular frequency \(\omega\) is fed across a resistor \(r\) and a capacitor \(C\) in series. \(I\) is the current in the circuit. If the frequency of the source is changed to \(\frac{\omega}{3}\) (but maintaining the same voltage), the current in the circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency \(\omega\).

1. \(\sqrt{\dfrac{3}{5}}\) 2. \(\sqrt{\dfrac{2}{5}}\)
3. \(\sqrt{\dfrac{1}{5}}\) 4. \(\sqrt{\dfrac{4}{5}}\)
Subtopic:  Different Types of AC Circuits |
 64%
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For a series \(RLC\) circuit, \(R = X_L = 2X_C.\) The impedance of the circuit and phase difference between \(V\) and \(i\) will be: 
1. \(\frac{\sqrt{5} R}{2} ,\tan^{- 1} \left(2\right)\) 2. \(\frac{\sqrt{5} R}{2} , \tan^{- 1} \left(\frac{1}{2}\right)\)
3. \(\sqrt{5} X_{C} ,\tan^{- 1} \left(2\right)\) 4. \(\sqrt{5} R , \tan^{- 1} \left(\frac{1}{2}\right)\)
Subtopic:  Different Types of AC Circuits |
 72%
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In the adjoining ac circuit the voltmeter whose reading will be zero at resonance is

(1) V1

(2) V2

(3) V3

(4) V4

Subtopic:  Different Types of AC Circuits |
 85%
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In the adjoining figure, the impedance of the circuit will be:

(1) 120 ohm

(2) 50 ohm

(3) 60 ohm

(4) 90 ohm

Subtopic:  Different Types of AC Circuits |
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In a series \(LCR\) circuit, which one of the following curves represents the variation of impedance \((Z)\) with frequency \((f)\)?

1. 2.
3. 4.
Subtopic:  Different Types of AC Circuits |
 55%
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The variation of the instantaneous current \((I)\) and the instantaneous emf \((E)\) in a circuit are shown in the figure. Which of the following statements is correct?

         

1. The voltage lags behind the current by \(\frac{\pi}{2}\).
2. The voltage leads the current by \(\frac{\pi}{2}\).
3. The voltage and the current are in phase.
4. The voltage leads the current by \(\pi\).
Subtopic:  RMS & Average Values |
 79%
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The figure shows the variation of R, XL, and XC with frequency f in a series L, C, R circuit. Then for what frequency point, the circuit is inductive:

(1) A

(2) B

(3) C

(4) All points

Subtopic:  Different Types of AC Circuits |
 50%
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An ac source of variable frequency f is connected to an LCR series circuit. Which one of the graphs in the figure represents the variation of the current I in the circuit with frequency f :

(1)

(2)

(3)

(4)

Subtopic:  Different Types of AC Circuits |
 77%
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A constant voltage at different frequencies is applied across a capacitance \(C\) as shown in the figure.
           
Which of the following graphs accurately illustrates how current varies with frequency?

1. 2.
3. 4.   
Subtopic:  Different Types of AC Circuits |
 59%
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