Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication ?

(a)

(b)

(c)

(d)

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Difficulty Level:

The potential differences across the resistance, capacitance and inductance are 80V, 40Vand 100V respectively in an L-C-R circuit. The power factor of this circuit is

(a) 0.4              (b) 0.5

(c) 0.8              (d) 1.0

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Difficulty Level:

A 100 $\Omega$ resistance and a capacitor of 100 $\Omega$ reactance are connected in series across a 220 V source. When the capacitor is 50% charged, the peak value of the displacement current is

(a) 2.2 A              (b) 11A

(c) 4.4A               (d) 11$\sqrt{2}$A

Concept Questions :-

Different types of AC Circuits
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Difficulty Level:

A small-signal voltage V(t)=Vo sinωt is applied across an ideal capacitor C
(a) over a full cycle, the capacitor C does not consume any energy from the voltage         source
(b) current I(t) is in phase with voltage V(t)
(c) current I(t) leads voltage V(t) by 180°
(d) current I(t) lags voltage V(t) by 90°

Concept Questions :-

Rms and average values
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An inductor 20 mH, a capacitor 50μF, and a resistor 40Ω are connected in series across a source of emf V=10sin340t. The power loss in the AC circuit is:

1. 0.67 W

2. 0.78W

3. 0.89 W

4. 0.46 W

Concept Questions :-

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:

Concept Questions :-

Different types of AC Circuits
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Difficulty Level:

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

(a)Va<Vb

(b)Va>Vb

(c)ia>ib

(d)Va=Vb

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A coil of self-inductance L is connected in series with a bulb B and an AC source. The brightness of the bulb decreases when

(a) frequency of the AC source is decreased

(b) the number of turns in the coil is reduced

(c) a capacitance of reactance Xc=XL is included in the same circuit

(d) an iron rod is inserted in the coil

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Difficulty Level:

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 $\mathrm{\pi }/3.$ If instead, C is removed from the circuit, the phase difference is again $\mathrm{\pi }/3.$ The power factor of the circuit is

(a) 1/2

(b) 1/$\sqrt{2}$

(c) 1

(d) $\sqrt{3}/2$

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Difficulty Level:

The instantaneous values of alternating

current and voltages in a circuit are given

as

The average power in Watts consumed in the

circuit is

(a) $\frac{1}{4}$

(b) $\frac{\sqrt{3}}{4}$

(c) $\frac{1}{2}$

(d) $\frac{1}{8}$