Given, R = 10 Ω, L = 100 mH and C = 10 μF. The values of ω0, ω1 and ω2 respectively are?

ω0 = 1000 rad/s, ω1 = 825.30 rad/s, ω2 = 1075.54 rad/s

ω0 = 1000 rad/s, ω1 = 951.25 rad/s, ω2 = 1075.54 rad/s

ω0 = 1000 rad/s, ω1 = 975.25 rad/s, ω2 = 1051.25 rad/s

ω0 = 1000 rad/s, ω1 = 951.25 rad/s, ω2 = 1051.25 rad/s

ω0 = 1000 rad/s, ω1 = 825.30 rad/s, ω2 = 1075.54 rad/s

If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would

increases by a factor \(\sqrt 2\)

An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)

\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\left( {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}} \right)\)

In the circuit shown below, the source frequency is below the resonant frequency of L and C. If this frequency is now gradually increased through the resonance without changing the amplitude of E, the voltage at the output would

increases first and then decreases

decreases at first and then increases

increases first and then decreases

Directions: Each of the next items consists of two statements, one labeled as the `Assertion (A)' and the other as 'Reason (R)' You are to examine these two statements carefully and select the answers to these items using the codes given below : Assertion (A): When a series RLC circuit is in resonance the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.

Both A and R are individually true but R is not the correct explanation of A

Both A and R are individually true and R is the correct explanation of A

Both A and R are individually true but R is not the correct explanation of A

If the bandwidth of a band-pass filter increases:

the half-power frequency decreases

For a series RLC circuit, selectivity is defined as the ratio of:

lower cutoff frequency to upper cutoff frequency

bandwidth to the resonant frequency

upper cutoff frequency to lower cutoff frequency

resonant frequency to the bandwidth

lower cutoff frequency to upper cutoff frequency

Direction: It consists of two statements, one labelled as Statement (I) and the other as Statement (II). Examine these two statements carefully and select the answers to these items using the codes given below:Statement (I): In an R-L-C series circuit, excited from a variable frequency voltage source, the circuit behaves like a ‘resistive’ one at a particular frequency.Statement (II): The frequency at which an R-L-C series circuit becomes resistive in character, a part of the input energy oscillates between the inductive and the capacitive elements of the circuit.

Both statement (I) and Statement (II) are individually true and Statement (II) is not the correct explanation of Statement (I)

Both statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

Both statement (I) and Statement (II) are individually true and Statement (II) is not the correct explanation of Statement (I)

Statement (I) is true but Statement (II) is false

Statement (I) is false but Statement (II) is true

power factor is better in R-L-C series circuit than R-L-C parallel circuit

power factor is leading in R-L-C series circuit and lagging in R-L-C parallel circuit

power factor is leading in R-L-C parallel circuit and lagging in R-L-C series circuit

power factor is unity in R-L-C series as well as R-L-C parallel circuits

At f = _________; the RLC series circuit operates at unity power factor.

\(\frac{1}{{2\pi \sqrt {LC} }}\)

114 + Mcqs in Resonance in Electrical Engineering Page 1 McqOptions

1.	In a series RLC circuit for lower frequency and for higher frequency, power factors are respectively ______________
A.	Leading, Lagging
B.	Lagging, Leading
C.	Independent of Frequency
D.	Same in both cases
Answer» B. Lagging, Leading

Discussion

2.	In a series RLC circuit R = 10 kΩ, L = 0.5 H and C = \(\frac{1}{250}\) μF. Calculate the frequency when the circuit is in a state of resonance.
A.	4.089 × 104 Hz
B.	\(\frac{11111.1}{π}\)Hz
C.	4.089π × 104 Hz
D.	\(\frac{1}{π}\) × 104 Hz
Answer» C. 4.089π × 104 Hz

Discussion

3.	A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 50. If R and L are doubled and C is kept same, the new Q of the circuit is?
A.	25.52
B.	35.35
C.	45.45
D.	20.02
Answer» C. 45.45

Discussion

4.	A circuit with a resistor, inductor and capacitor in series is resonant with frequency f Hz. If all the component values are now doubled, then the new resonant frequency will be?
A.	2 f
B.	f
C.	\(\frac{f}{4}\)
D.	\(\frac{f}{2}\)
Answer» E.

Discussion

5.	In the circuit given below, the magnitudes of VL and VC are twice that of VK. Calculate the inductance of the coil, given that f = 50.50 Hz.
A.	6.41 mH
B.	5.30 mH
C.	3.18 mH
D.	2.31 mH
Answer» D. 2.31 mH

Discussion

6.	For the circuit given below, if the frequency of the source is 50 Hz, then a value of to which results in a transient free response is?
A.	0
B.	1.78 ms
C.	7.23 ms
D.	9.21 ms
Answer» C. 7.23 ms

Discussion

7.	A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, the Q factor of the circuit is?
A.	82.63
B.	47.115
C.	27.38
D.	92.38
Answer» C. 27.38

Discussion

8.	A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, what is the value of the capacitor?
A.	676 μF
B.	575 μF
C.	591 μF
D.	610 μF
Answer» B. 575 μF

Discussion

9.	At what frequency will the current lead the voltage by 30° in a series circuit with R = 10Ω and C = 25 μF?
A.	11.4 kHz
B.	4.5 kHz
C.	1.1 kHz
D.	24.74 kHz
Answer» B. 4.5 kHz

Discussion

10.	Two series resonant filters are shown below. Let the 3 dB bandwidth of filter 1 be B1 and that of filter 2 be B2. The value of \(\frac{B_1}{B_2}\) is ____________
A.	0.25
B.	1
C.	0.5
D.	0.75
Answer» B. 1

Discussion

11.	Given, R = 10 Ω, L = 100 mH and C = 10 μF. Selectivity is?
A.	10
B.	1.2
C.	0.15
D.	0.1
Answer» E.

Discussion

12.	Given, R = 10 Ω, L = 100 mH and C = 10 μF. The values of ω0, ω1 and ω2 respectively are?
A.	ω0 = 1000 rad/s, ω1 = 951.25 rad/s, ω2 = 1075.54 rad/s
B.	ω0 = 1000 rad/s, ω1 = 975.25 rad/s, ω2 = 1051.25 rad/s
C.	ω0 = 1000 rad/s, ω1 = 951.25 rad/s, ω2 = 1051.25 rad/s
D.	ω0 = 1000 rad/s, ω1 = 825.30 rad/s, ω2 = 1075.54 rad/s
Answer» D. ω0 = 1000 rad/s, ω1 = 825.30 rad/s, ω2 = 1075.54 rad/s

Discussion

13.	A series RLC circuit has R = 50 Ω, L = 0.01 H and C = 0.04 × 10-6 F. System voltage is 100 V. At this frequency, the circuit impedance is?
A.	50 – j2.5 Ω
B.	50 – j2.8 Ω
C.	50 + j2.5 Ω
D.	50 + j2.8 Ω
Answer» B. 50 – j2.8 Ω

Discussion

14.	A series RLC circuit has R = 50 Ω, L = 0.01 H and C = 0.04 × 10-6 F. System voltage is 100 V. The frequency, at which the maximum voltage appears across the capacitor, is?
A.	5937.81 Hz
B.	7370 Hz
C.	7937.81 Hz
D.	981 Hz
Answer» D. 981 Hz

Discussion

15.	A RLC series circuit has a resistance of 1 kΩ. Its half power frequencies are 10 kHz and 90 kHz. Quality factor of the circuit is:
A.	2.333
B.	0.375
C.	0.925
D.	1.625
Answer» C. 0.925

Discussion

16.	For frequencies below the resonant frequency, a parallel LC circuit behaves as a ________ load.
A.	Inductive
B.	Resistive
C.	Capacitive
D.	None of these
Answer» B. Resistive

Discussion

17.	A coil having an inductance of 0.5 H and a resistance of 60 Ω is connected in series with a capacitance of 10 μF. The coil is connected to 100 V ac supply. What is the source frequency and current flowing in the circuit under resonance condition?
A.	7.121 Hz and 16.7 A
B.	7.121 Hz and 1.67 A
C.	71.21 Hz and 16.7 A
D.	71.21 Hz and 1.67 A
Answer» E.

Discussion

18.	In a series RLC resonant circuit with the resonant frequency f0, the quality factor is
A.	\(\dfrac{1}{2\pi f_0 RC}\)
B.	\(\dfrac{L}{2\pi f_0 R}\)
C.	\( \dfrac{1}{2\pi f_0 LC}\)
D.	\(\dfrac{L}{2\pi f_0 C}\)
Answer» B. \(\dfrac{L}{2\pi f_0 R}\)

Discussion

19.	If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would
A.	reduce by a factor \(\sqrt 2\)
B.	reduce by a factor 2
C.	increases by a factor \(\sqrt 2\)
D.	increase by a factor 2
Answer» C. increases by a factor \(\sqrt 2\)

Discussion

20.	An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is
A.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\)
B.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}}\)
C.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)
D.	\(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\left( {1 - {{\rm{R}}^2}\frac{{\rm{C}}}{{\rm{L}}}} \right)\)
Answer» C. \(\frac{1}{{2{\rm{\pi }}\sqrt {{\rm{LC}}} }}\sqrt {1 - \frac{{\rm{L}}}{{{{\rm{R}}^2}{\rm{C}}}}}\)

Discussion

21.	A series RLC, circuit is connected to the 240 V, 50 Hz line. If R = 10 ohms, L = 20 mH and C = 20 μF, then the resulting reactance of the circuit is approximately
A.	-152.72 ohm
B.	165.28 ohm
C.	175.72 ohm
D.	-142.72 ohm
Answer» B. 165.28 ohm

Discussion

22.	A high Q coil has a
A.	high band width
B.	less band width
C.	high losses
D.	a flat response
Answer» C. high losses

Discussion

23.	In the circuit shown below, the source frequency is below the resonant frequency of L and C. If this frequency is now gradually increased through the resonance without changing the amplitude of E, the voltage at the output would
A.	decreases at first and then increases
B.	increases first and then decreases
C.	decreses continuously
D.	increases continuously
Answer» B. increases first and then decreases

Discussion

24.	Directions: Each of the next items consists of two statements, one labeled as the `Assertion (A)' and the other as 'Reason (R)' You are to examine these two statements carefully and select the answers to these items using the codes given below : Assertion (A): When a series RLC circuit is in resonance the current flowing in the circuit is maximum.Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance.
A.	Both A and R are individually true and R is the correct explanation of A
B.	Both A and R are individually true but R is not the correct explanation of A
C.	A is true but R is false
D.	A is false but R is true
Answer» B. Both A and R are individually true but R is not the correct explanation of A

Discussion

25.	If the bandwidth of a band-pass filter increases:
A.	Q decreases
B.	the roll-off rate increases
C.	the half-power frequency decreases
D.	the center frequency decreases
Answer» B. the roll-off rate increases

Discussion

26.	A series resonant circuit is tuned to 10 MHz and provides 3-dB bandwidth of 100 kHz. The quality factor Q of the circuit is
A.	30
B.	1
C.	100
D.	10
Answer» D. 10

Discussion

27.	If all the elements in a circuit are carrying the equal amount of current then the elements are said to be in _______ connection.
A.	undefined path
B.	parallel
C.	series
D.	closed
Answer» D. closed

Discussion

28.	If the Q-factor of a coil at resonant frequency of 1.5 MHz is 150 for a series resonant circuit, then the corresponding bandwidth is
A.	225 MHz
B.	1.06 MHz
C.	50 kHz
D.	10 kHz
Answer» E.

Discussion

29.	For the circuit shown in figure, find the frequency at which this circuit will be at resonance
A.	1 rad/sec
B.	2 rad/sec
C.	0.25 rad/sec
D.	0.5 rad/sec
Answer» E.

Discussion

30.	A series RLC circuit resonates at 1.5 kHz and consumes 50 W from a 50 V AC source operating at the resonant frequency. If the bandwidth is 0.75 kHz, then what are the values of the circuit elements R and L?
A.	25 Ω and 5.31 mH
B.	50 Ω and 10.6 mH
C.	50 Ω and 66.6 mH
D.	2.5 Ω and 1.06 mH
Answer» C. 50 Ω and 66.6 mH

Discussion

31.	In the RLC circuit shown in the figure, the input voltage is given by vi(t) = 2cos (200t) + 4 sin (500t). The output voltage v0(t) is:
A.	cos(200𝑡) + 2 sin(500𝑡)
B.	2cos(200𝑡) + 4 sin(500𝑡)
C.	sin(200𝑡) + 2 cos(500𝑡)
D.	2sin(200𝑡) + 4 cos(500𝑡)
Answer» C. sin(200𝑡) + 2 cos(500𝑡)

Discussion

32.	An RLC series resonant circuit has a resonance frequency of 1.5 MHz and a bandwidth of 10 kHz. If C = 150 pF, then the effective resistance (in ohms) of the circuit will be:
A.	29.5
B.	14.75
C.	9.4
D.	4.7
Answer» E.

Discussion

33.	For a series RLC circuit, selectivity is defined as the ratio of:
A.	bandwidth to the resonant frequency
B.	upper cutoff frequency to lower cutoff frequency
C.	resonant frequency to the bandwidth
D.	lower cutoff frequency to upper cutoff frequency
Answer» D. lower cutoff frequency to upper cutoff frequency

Discussion

34.	A coil of quality factor 20 is connected in series with a capacitor to an ac source of 100 V. At resonance, the voltage across the capacitor will be:
A.	100 V
B.	1000 V
C.	500 V
D.	2000 V
Answer» E.

Discussion

35.	In a series RLC circuit fed from an AC source, the amplitude of the voltage across the resistor is 120 V and the amplitude of the voltages across the capacitor and inductor is 50 V each at resonance. What is the amplitude of the source voltage?
A.	80 V
B.	120 V
C.	170 V
D.	220 V
Answer» C. 170 V

Discussion

36.	A series RLC circuit has a capacitance, inductance and resistance of 0.018 μF, 2 mH and 10 ohms respectively. What is the resonant frequency (in kHz) of the circuit?
A.	13.26
B.	26.52
C.	53.04
D.	79.56
Answer» C. 53.04

Discussion

37.	A series R-L-C circuit is supplied by 100 V, 50 Hz AC. What is the power factor of the circuit at resonance?(where R = 10 Ω, L = 10 mH, C = 100 μF)
A.	Zero
B.	Unity
C.	0.6 lagging
D.	0.6 leading
Answer» C. 0.6 lagging

Discussion

38.	A series RLC circuit has a resonance frequency of 175 kHz and Q = 50. Find the bandwidth of the circuit.
A.	50 Hz
B.	350 Hz
C.	35 kHz
D.	3.5 kHz
Answer» E.

Discussion

39.	A tuned circuit is resonant at 4 MHz. Its Q is 100. The bandwidth is
A.	40 kHz
B.	400 Hz
C.	4 kHz
D.	400 kHz
Answer» B. 400 Hz

Discussion

40.	A series resonant circuit has a resistance of 47 ohms, inductance of 2 H and capacitance of 2 μF with a supply voltage of 10 volts. The current through the circuit at resonance is:
A.	0.833 amp
B.	0.212 amp
C.	0.196 amp
D.	0 amp
Answer» C. 0.196 amp

Discussion

41.	Direction: It consists of two statements, one labelled as Statement (I) and the other as Statement (II). Examine these two statements carefully and select the answers to these items using the codes given below:Statement (I): In an R-L-C series circuit, excited from a variable frequency voltage source, the circuit behaves like a ‘resistive’ one at a particular frequency.Statement (II): The frequency at which an R-L-C series circuit becomes resistive in character, a part of the input energy oscillates between the inductive and the capacitive elements of the circuit.
A.	Both statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
B.	Both statement (I) and Statement (II) are individually true and Statement (II) is not the correct explanation of Statement (I)
C.	Statement (I) is true but Statement (II) is false
D.	Statement (I) is false but Statement (II) is true
Answer» B. Both statement (I) and Statement (II) are individually true and Statement (II) is not the correct explanation of Statement (I)

Discussion

42.	A coil has self-resistance of 5 Ω and inductance of 1 μH. The value of Q at 1 MHz frequency is
A.	200
B.	100
C.	40
D.	None of the above
Answer» E.

Discussion

43.	At resonance, the impedance of a series RLC circuit is
A.	R
B.	XL
C.	XC
D.	None of the above
Answer» B. XL

Discussion

44.	At resonance
A.	power factor is better in R-L-C series circuit than R-L-C parallel circuit
B.	power factor is leading in R-L-C series circuit and lagging in R-L-C parallel circuit
C.	power factor is leading in R-L-C parallel circuit and lagging in R-L-C series circuit
D.	power factor is unity in R-L-C series as well as R-L-C parallel circuits
Answer» E.

Discussion

45.	At f = _________; the RLC series circuit operates at unity power factor.
A.	1/RLC
B.	1/LC
C.	\(\frac{1}{{2\pi \sqrt {LC} }}\)
D.	1/RC
Answer» D. 1/RC

Discussion

46.	A Series inverter with series Load delivers a load power of 1 kW at resonance. The value of Load resistance = 10 Ω and the resonant frequency is 20 kHz, Q factor = 3.85.For this, the value of Capacitor and inductor are estimated. Following are the values of L and C:(a) L = 306.37 μH(b) C = 0.2067 μF(c) L = 3.06 μH(d) C = 20.67 μFOut of the above, which are correct?
A.	(a) and (b)
B.	(b) and (c)
C.	(c) and (d)
D.	(a) and (d)
Answer» B. (b) and (c)

Discussion

47.	A series RLC circuit is connected to a 230 V 50 Hz line. If R = 200Ω, XL = 100Ω and XC = 200Ω, how much more capacitor is to be added to the circuit to bring the circuit to resonance?
A.	100 μF
B.	22.6 μF
C.	15.9 μF
D.	31.8 μF
Answer» E.

Discussion

48.	A resonant circuit contains _____ elements
A.	R and L only
B.	R and C only
C.	Only R
D.	L and C
Answer» E.

Discussion

49.	A series RLC circuit has a resonant frequency of 1 kHz and a quality factor Q = 100. If each of R, L and C is doubled from its original value, the new Q of the circuit is
A.	25
B.	50
C.	100
D.	200
Answer» C. 100

Discussion

50.	Q-factor of a coil is given by
A.	RC
B.	\(\frac{{\omega L}}{R}\)
C.	\(\frac{{\sqrt C }}{L}\)
D.	\(\frac{{\sqrt L }}{C}\)
Answer» C. \(\frac{{\sqrt C }}{L}\)

Discussion

Explore topic-wise MCQs in Electrical Engineering.

In a series RLC circuit for lower frequency and for higher frequency, power factors are respectively ______________

In a series RLC circuit R = 10 kΩ, L = 0.5 H and C = \(\frac{1}{250}\) μF. Calculate the frequency when the circuit is in a state of resonance.

A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 50. If R and L are doubled and C is kept same, the new Q of the circuit is?

A circuit with a resistor, inductor and capacitor in series is resonant with frequency f Hz. If all the component values are now doubled, then the new resonant frequency will be?

In the circuit given below, the magnitudes of VL and VC are twice that of VK. Calculate the inductance of the coil, given that f = 50.50 Hz.

For the circuit given below, if the frequency of the source is 50 Hz, then a value of to which results in a transient free response is?

A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, the Q factor of the circuit is?

A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, what is the value of the capacitor?

At what frequency will the current lead the voltage by 30° in a series circuit with R = 10Ω and C = 25 μF?

Two series resonant filters are shown below. Let the 3 dB bandwidth of filter 1 be B1 and that of filter 2 be B2. The value of \(\frac{B_1}{B_2}\) is ____________

Given, R = 10 Ω, L = 100 mH and C = 10 μF. Selectivity is?

Given, R = 10 Ω, L = 100 mH and C = 10 μF. The values of ω0, ω1 and ω2 respectively are?

A series RLC circuit has R = 50 Ω, L = 0.01 H and C = 0.04 × 10-6 F. System voltage is 100 V. At this frequency, the circuit impedance is?

A series RLC circuit has R = 50 Ω, L = 0.01 H and C = 0.04 × 10-6 F. System voltage is 100 V. The frequency, at which the maximum voltage appears across the capacitor, is?

A RLC series circuit has a resistance of 1 kΩ. Its half power frequencies are 10 kHz and 90 kHz. Quality factor of the circuit is:

For frequencies below the resonant frequency, a parallel LC circuit behaves as a ________ load.

A coil having an inductance of 0.5 H and a resistance of 60 Ω is connected in series with a capacitance of 10 μF. The coil is connected to 100 V ac supply. What is the source frequency and current flowing in the circuit under resonance condition?

In a series RLC resonant circuit with the resonant frequency f0, the quality factor is

If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would

An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

A series RLC, circuit is connected to the 240 V, 50 Hz line. If R = 10 ohms, L = 20 mH and C = 20 μF, then the resulting reactance of the circuit is approximately

A high Q coil has a

In the circuit shown below, the source frequency is below the resonant frequency of L and C. If this frequency is now gradually increased through the resonance without changing the amplitude of E, the voltage at the output would

If the bandwidth of a band-pass filter increases:

A series resonant circuit is tuned to 10 MHz and provides 3-dB bandwidth of 100 kHz. The quality factor Q of the circuit is

If all the elements in a circuit are carrying the equal amount of current then the elements are said to be in _______ connection.

If the Q-factor of a coil at resonant frequency of 1.5 MHz is 150 for a series resonant circuit, then the corresponding bandwidth is

For the circuit shown in figure, find the frequency at which this circuit will be at resonance

A series RLC circuit resonates at 1.5 kHz and consumes 50 W from a 50 V AC source operating at the resonant frequency. If the bandwidth is 0.75 kHz, then what are the values of the circuit elements R and L?

In the RLC circuit shown in the figure, the input voltage is given by vi(t) = 2cos (200t) + 4 sin (500t). The output voltage v0(t) is:

An RLC series resonant circuit has a resonance frequency of 1.5 MHz and a bandwidth of 10 kHz. If C = 150 pF, then the effective resistance (in ohms) of the circuit will be:

For a series RLC circuit, selectivity is defined as the ratio of:

A coil of quality factor 20 is connected in series with a capacitor to an ac source of 100 V. At resonance, the voltage across the capacitor will be:

In a series RLC circuit fed from an AC source, the amplitude of the voltage across the resistor is 120 V and the amplitude of the voltages across the capacitor and inductor is 50 V each at resonance. What is the amplitude of the source voltage?

A series RLC circuit has a capacitance, inductance and resistance of 0.018 μF, 2 mH and 10 ohms respectively. What is the resonant frequency (in kHz) of the circuit?

A series R-L-C circuit is supplied by 100 V, 50 Hz AC. What is the power factor of the circuit at resonance?(where R = 10 Ω, L = 10 mH, C = 100 μF)

A series RLC circuit has a resonance frequency of 175 kHz and Q = 50. Find the bandwidth of the circuit.

A tuned circuit is resonant at 4 MHz. Its Q is 100. The bandwidth is

A series resonant circuit has a resistance of 47 ohms, inductance of 2 H and capacitance of 2 μF with a supply voltage of 10 volts. The current through the circuit at resonance is:

A coil has self-resistance of 5 Ω and inductance of 1 μH. The value of Q at 1 MHz frequency is

At resonance, the impedance of a series RLC circuit is

At resonance

At f = _________; the RLC series circuit operates at unity power factor.

A series RLC circuit is connected to a 230 V 50 Hz line. If R = 200Ω, XL = 100Ω and XC = 200Ω, how much more capacitor is to be added to the circuit to bring the circuit to resonance?

A resonant circuit contains _____ elements

A series RLC circuit has a resonant frequency of 1 kHz and a quality factor Q = 100. If each of R, L and C is doubled from its original value, the new Q of the circuit is

Q-factor of a coil is given by