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)

Concept Questions :-

Different types of AC Circuits
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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

Correctly depicts the variation of current with frequency?

(1)

(2)

(3)

(4)

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The output current versus time curve of a rectifier is shown in the figure. The average value of output current in this case is 

(1) 0

(2) I02

(3) 2I0π

(4) I0

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The current 'i' in an inductance coil varies with time 't' according to the following graph.

Which one of the following plots shows the variations of voltage in the coil?

(1)

(2)

(3)

(4)

Concept Questions :-

Rms and average values
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When an ac source of e.m.f. e=E0sin(100t) is connected across a circuit, the phase difference between the e.m.f. e and the current i in the circuit is observed to be &pi:/4, as shown in the diagram. If the circuit consists possibly only of RC or LC in series, find the relationship between the two elements 

(1) R=1kΩ,C=10μF

(2) R=1kΩ,C=1μF

(3) R=1kΩ,L=10H

(4) R=1kΩ,L=1H

Concept Questions :-

Different types of AC Circuits
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Two sinusoidal voltages of the same frequency are shown in the diagram. What is the frequency, and the phase relationship between the voltages

 

Frequency in Hz

Phase lead of N over M in radians

(1)

0.4

–π/4

(2)

2.5

–π/2

(3)

2.5

+π/2

(4)

2.5

–π/4

 

Concept Questions :-

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Which of the following plots may represent the reactance of a series LC combination 

(1) a

(2) b

(3) c

(4) d

Concept Questions :-

Different types of AC Circuits
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A filament bulb (500 W,100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is 

(a) 230Ω          (b) 46Ω

(c) 26Ω            (d) 13Ω

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

(a) R=20Ω, L=1.5H,C=35 μF

(b) R=25Ω, L=2.5H,C=45 μF

(c) R=15Ω, L=3.5H,C=30 μF

(d) R=25Ω, L=1.5H,C=45 μF

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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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