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Electrical Engineering
RLC Circuits And Resonance
Quiz 1
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Q.1
A 90 Ω resistor, a coil with 30 Ω of reactance, and a capacitor with 50 Ω of reactance are in series across a 12 V ac source. The current through the resistor is
9 mA
90 mA
13 mA
130 mA
Q.2
The quality factor (Q) is the ratio of true power to apparent power.
True
False
Q.3
A 15 Ω resistor, a 220 µH coil, and a 60 pF capacitor are in series across an ac source. What is the bandwidth of the circuit?
138 MHz
10,866 Hz
1,907 Hz
138 kHz
Q.4
In a series RLC circuit, the current is minimum at resonance.
True
False
Q.5
A certain series RLC circuit with a 200 Hz, 15 V ac source has the following values: R = 12 Ω, C = 80 µF, and L = 10 mH. The total impedance, expressed in polar form, is
12.28 ∠12.34° Ω
12.57 ∠12.34° Ω
9.95 ∠12.34° Ω
12.62 ∠12.34° Ω
Q.6
In a series RLC circuit that is operating above the resonant frequency, the current
Lags the applied voltage
Leads the applied voltage
Is in phase with the applied voltage
Is zero
Q.7
A 24 Ω resistor, an inductor with a reactance of 120 Ω, and a capacitor with a reactance of 120 Ω are in series across a 60 V source. The circuit is at resonance. The voltage across the inductor is
60 V
660 V
30 V
300 V
Q.8
X
L
and X
C
have opposing effects in an RLC circuit.
True
False
Q.9
A resonant circuit has a lower critical frequency of 7 kHz and an upper critical frequency of 13 kHz. The bandwidth of the circuit is
7 kHz
13 kHz
20 kHz
4 kHz
Q.10
A series resonant circuit is commonly called a tank circuit.
True
False
Q.11
A 10 Ω resistor, a 90 mH coil, and a 0.015 µF capacitor are in series across an ac source. The impedance magnitude at 1,200 Hz below f
r
is
1,616 Ω
161 Ω
3,387 Ω
1,771 Ω
Q.12
At series resonance, the inductive reactance and capacitive reactance are never equal.
True
False
Q.13
A 12 Ω resistor, a 40 µF capacitor, and an 8 mH coil are in series across an ac source. The resonant frequency is
28.1 Hz
281 Hz
2,810 Hz
10 kHz
Q.14
A resistor of 3 kΩ, a 0.05 µF capacitor, and a 120 mH coil are in series across a 5 kHz, 20 V ac source. What is the impedance, expressed in polar form?
636 Ω
3,769 Ω
433 Ω
4,337 Ω
Q.15
In a certain series resonant circuit, V
C
= 125 V, V
L
= 125 V, and V
R
= 40 V. The value of the source voltage is
125 V
250 V
290 V
40 V
Q.16
A 15 Ω resistor, an inductor with 8 Ω inductive reactance, and a capacitor with 12 Ω capacitive reactance are in parallel across an ac voltage source. The circuit impedance is
12.7 Ω
127 Ω
4,436 Ω
6,174 Ω
Q.17
The impedance at the resonant frequency of a series RLC circuit with L = 20 mH, C = 0.02 µF, and RW = 90 Ω is
0 Ω
90 Ω
20 Ω
40 Ω
Q.18
A 9 mH coil is in parallel with a 0.015 µF capacitor across an 18 kHz ac source. The coil's internal resistance R
W
, is 60 Ω. The circuit impedance is
17,340 Ω
1,734 Ω
290 Ω
1,018 Ω
Q.19
A 200 Ω resistor, a coil with 30 Ω of reactance, and a capacitor of unknown reactance are in series across an ac source. The circuit is at resonance. Circuit impedance is
230 Ω
170 Ω
200 Ω
Cannot be determined
Q.20
In a parallel RLC circuit, the smaller reactance determines the net reactance of the circuit.
True
False
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