A series R-C circuit is connected to an alternating voltage source. Consider two situations:

1) When the capacitor is air-filled.

2) When the capacitor is mica filled.

Current through the resistor is *I* and voltage across the capacitor is V then:

1. ${V}_{a}<{V}_{b}$

2. ${V}_{a}>{V}_{b}$

3. ${i}_{a}>{i}_{b}$

4. ${V}_{a}={V}_{b}$

Subtopic: Different Types of AC Circuits |

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A resistance ' R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes 'Z', the power drawn will be:

1. \(P\Big({\large\frac{R}{Z}}\Big)^2\)

2. \(P\sqrt{\large\frac{R}{Z}}\)

3. \(P\Big({\large\frac{R}{Z}}\Big)\)

4. \(P\)

Subtopic: Power factor |

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A transformer has an efficiency of 90% working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A the voltage across the secondary coil and the current in the primary coil respectively are:

1. 300 V, 15 A

2. 450 V, 15 A

3. 450 V, 13.5 A

4. 600 V, 15 A

Subtopic: Transformer |

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In an electrical circuit R, L, C, and an AC voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is ${\mathrm{tan}}^{-1}\sqrt{3}$. If instead, C is removed from the circuit, the phase difference is again ${\mathrm{tan}}^{-1}\sqrt{3}$. The power factor of the circuit is:

1. 1/2

2. $1/\sqrt{2}$

3. 1

4. $\sqrt{3}/2$

Subtopic: Power factor |

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The instantaneous values of alternating current and voltages in a circuit are given as,

\(i=\frac{1}{\sqrt{2}}sin\left ( 100\pi t \right )~Ampere\\e=\frac{1}{\sqrt{2}}\left ( 100\pi t+\pi /3 \right )~Volt\)

What is the average power consumed by the circuit in watts?

1. $\frac{\sqrt{3}}{4}$

2. $\frac{1}{2}$

3. $\frac{1}{8}$

4. $\frac{1}{4}$

Subtopic: Power factor |

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In an AC circuit an alternating voltage \(\varepsilon=200 \sqrt{2} \sin 100 t\) volt is connected to a capacitor of capacity 1 $\mu F$. The RMS value of the current in the circuit is:

1. 100 mA

2. 200 mA

3. 20 mA

4. 10 mA

Subtopic: RMS & Average Values | Different Types of AC Circuits |

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An AC voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to 3 $\Omega $, the phase difference between the applied voltage and the current in the circuit is:

1. $\frac{\mathrm{\pi}}{4}$

2. $\frac{\mathrm{\pi}}{2}$

3. zero

4. $\frac{\mathrm{\pi}}{6}$

Subtopic: Different Types of AC Circuits |

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The r.m.s. value of the potential difference V shown in the figure is:

1. ${\mathrm{V}}_{0}/\sqrt{3}$

2. ${\mathrm{V}}_{0}$

3. ${\mathrm{V}}_{0}/\sqrt{2}$

4. ${\mathrm{V}}_{0}/2$

Subtopic: RMS & Average Values |

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A coil has a resistance of 30 ohm and an inductive reactance of 20 ohm at a 50 Hz frequency. If an ac source of 200 volts, 100 Hz is connected across the coil, the current in the coil will be:

1. 2.0 A

2. 4.0 A

3. 8.0 A

4. \(20/\sqrt{13}\) A

Subtopic: Different Types of AC Circuits |

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In the given circuit, the reading of voltmeter V_{1} and V_{2} are 300 V each. The reading of the voltmeter V_{3 }and ammeter A are respectively:

1. 150 V, 2.2 A

2. 220 V, 2.2 A

3. 220 V, 2.0 A

4. 100 V, 2.0 A

Subtopic: Different Types of AC Circuits |

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