An inductor of reactance 1Ω and a resistor of 2Ω are connected in series to the terminals of a 6V (RMS) AC source. The power dissipated in the circuit is:
8 W
12 W
14.4 W
18 W
The output of a step-down transformer is measured to be 24 V when connected to a 12 W light bulb. The value of the peak current is:
1/2 A
2 A
22A
As the frequency of an AC circuit increases, the current first increases then decreases. What combination of circuit elements is most likely to comprise the circuit?
(a) Inductor and capacitor(b) Resistor and inductor(c) Resistor and capacitor(d) Resistor, inductor and capacitor
(c, d)
(b, d)
(a, d)
In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of the supply. Which of the following elements are likely to constitute the circuit?
(a) Only resistor(b) Resistor and an inductor(c) Resistor and a capacitor(d) Only a capacitor
Electrical energy is transmitted over large distances at high alternating voltages. Which of the following statements is (are) correct?
(a) For a given power level, there is a lower current.(b) Lower current implies less power loss.(c) Transmission lines can be made thinner.(d) It is easy to reduce the voltage at the receiving end using step-down transformers.
(a, b, d)
(b, c, d)
For an L-C-R circuit, the power transferred from the driving source to the driven oscillator is P=I2Zcosϕ.
(a) Here, the power factor cosϕ≥0, P≥0.(b) The driving force can give no energy to the oscillator (P=0) in some cases.(c) The driving force cannot syphon out (P<0) the energy out of the oscillator.(d) The driving force can take away energy out of the oscillator.
(a, b, c)
(a, c, d)
When an AC voltage of 220 V is applied to the capacitor C
(a) the maximum voltage between plates is 220 V.(b) the current is in phase with the applied voltage.(c) the charge on the plates is in phase with the applied voltage.(d) power delivered to the capacitor is zero.
(b, c)
The line that draws power supply to your house from the street has
(a) zero average current(b) 220 V average voltage(c) voltage and current out of phase by 90°(d) voltage and current possibly differing in phase ϕ such that ϕ<π2
(a, c)
A light bulb and an inductor coil are connected to an ac source through a key as shown in the figure below. The key is closed and after some time an iron rod is inserted into the interior of the inductor. The glow of the light bulb:
decreases
remains unchanged
will fluctuate
increases
A light bulb is rated at 100W for a 220 V AC supply. The peak voltage of the source is:
220 V
110 V
311 V
100 V
A light bulb is rated at 100W for a 220 V AC supply. The RMS current through the bulb is:
0.243 A
0.454 A
0.242 A
0.312 A
A pure inductor of 25.0 mH is connected to an AC source of 220 V. The RMS current in the circuit is:
(The frequency of the source is 50 Hz).
20 A
25 A
28 A
32 A
A lamp is connected in series with a capacitor. Predict your observations for dc and ac connections.
When a dc source is connected to a capacitor, the lamp will not glow in a steady-state condition.
When an ac source is connected to a capacitor, the lamp will glow.
Both (1) and (2) are correct.
None of these.
A lamp is connected in series with a capacitor. AC and DC sources are connected to the circuit one by one, then mark the correct statement/s.
When the DC source is connected to the capacitor, the lamp will not glow in a steady-state condition.
When the AC source is connected to the capacitor and the capacitance of the capacitor is reduced, the lamp will glow less brightly.
When the DC source is connected to the capacitor and the capacitance of the capacitor is reduced, the lamp will glow less brightly.
Both (1) and (2).
A 15.0 µF capacitor is connected to a 220 V, 50 Hz source. If the frequency is doubled, what happens to the capacitive reactance and the current?
The capacitive reactance is halved and the current is doubled.
The capacitive reactance is doubled and the current is halved.
The capacitive reactance remains the same and the current is doubled.
The current remains the same and the capacitive reactance is halved.
A light bulb and an open coil inductor are connected to an ac source through a key as shown in the figure.
The switch is closed and after some time, an iron rod is inserted into the interior of the inductor. The glow of the light bulb:
is unchanged, as the iron rod is inserted
first increases and then decreases
A resistor of 200 Ω and a capacitor of 15.0 µF are connected in series to a 220 V, 50 Hz ac source. The voltage (RMS) across the resistor and the capacitor are respectively:
160.3 V, 160.3 V
151 V, 151 V
160.3 V, 151 V
151 V, 160.3 V
Which one of the following is incorrect?
For circuits used for transporting electric power, a low power factor implies large power loss in transmission.
Power factor can often be improved by the use of a capacitor of appropriate capacitance in the circuit.
For circuits used for transporting electric power, a low power factor implies low power loss in transmission.
Both (1) and (2)
A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The impedance of the circuit is:
5 Ω
8 Ω
4 Ω
2 Ω
A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The approximate phase difference between the voltage across the source and the current is:
1. -7502. -5303. 7504. 530
A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The power dissipated in the circuit is:
6000 W
5200 W
4800 W
4500 W
A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The power factor is:
0.4
0.5
0.3
0.6
A sinusoidal voltage of peak value 283 V (suppose the frequency of the source can be varied) is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The frequency of the source at which resonance occurs is:
35.4 Hz
50 Hz
60 Hz
39.7 Hz
A sinusoidal voltage of peak value 283 V (suppose the frequency of the source can be varied) is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The current in the circuit at the resonance is:
60 A
66.7 A
65 A
63.3 A
A sinusoidal voltage of peak value 283 V (suppose the frequency of the source can be varied) is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 µF. The power dissipated at the resonant condition is:
10.55 kW
11.17 kW
12.25 kW
13.35 kW
At an airport, a person is made to walk through the doorway of a metal detector, for security reasons. If she/he is carrying anything made of metal, the metal detector emits a sound. On what principle does this detector work?
Resonance in ac circuits
Logic gate
X-rays
None of these
In the free oscillations of an LC circuit, the sum of energies stored in the capacitor and the inductor is:
Maybe constant and variable in time
Variable in time
Constant in time
None of the above
The graph given below shows the variation of voltage and current with phase for an AC circuit. The circuit is:
Purely capacitive circuit
Purely inductive circuit
Purely resistive circuit
RC circuit
Graph given below shows variation of current with phase for an AC circuit such that I=im2 . Then current I is-
Peak current
Average current
Rms current
Mean squared current
Phasor diagram for a circuit is given below. The circuit is-
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