23. Consider an LC circuit-that is, an RLC circuit with R = 0-with input voltage E(t) = Eo sin wt. Show that un- bounded oscillations of current occur for a certain reso- nance frequency; express this frequency in terms of L and C.

23. Consider an LC circuit-that is, an RLC circuit with R = 0-with input voltage E(t) = Eo sin wt. Show that un- bounded oscillations of current occur for a certain reso- nance frequency; express this frequency in terms of L and C.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter33: Alternating Current Circuits

Section: Chapter Questions

Problem 33.75AP: A series RLC circuit consists of an 8.00- resistor, 5.00-F capacitor, and a 50.0-mH inductor. A...

See similar textbooks

Related questions

Q: 12. When an LC circuit oscillates at its natural resonant frequency, it can reserve electrical…

Q: 1. The number of turns on the primary and secondary windings of a 1-0 transformer are 350 and 35…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: When a camera uses a flash, a fully charged capacitor discharges through an inductor. In what time…

Q: An RLC circuit has a resonance frequency of 60 Hz. When this circuit is operated at30 Hz, does the…

A: The impedance of a RLC circuit is given by Z=R2+XL-XC2

Q: An inductor is used to limit the currentthrough a fluorescent lamp that is operated with an rms…

A: Vr=RMS voltage=120 Vf=Frequency=60 HzIr=RMS current=0.33 AR=Resistance=0L=Inductance

Q: Can an RLC circuit have the same impedance at two different frequencies? Explain.

A: The impedance of a RLC circuit is given by Z=R2+XL-XC2

Q: 17) For an LRC series circuit containing a resistance of 11.0-22, a capacitance of 2.0-µF, and an…

Q: 30.37 An L-C circuit containing an 80-mH inductor and a 1.25-nF capacitor oscillates with a…

A: As per the hint, option (b) is answered first.b) Frequency of LC circuit is,

Q: 24. The maximum value of the AC voltage is 7V. What is the phase (in d the phasor at the moment the…

Q: 11. Figure shows a series LCR circuit connected to a variable frequency 230V source. L-5.0H, C=80µF,…

A: Given value--- E = 230 V. R = 40 ohm. L = 5 H. C = 80 micro F. We have to find--- resonance…

Q: An RLC circuit has resistance R = 175 Q and inductive reactance X, = 3770. HINT (a) Calculate the…

Q: A 6.0-uF capacitor, a 0.12-H inductor, and an 85-Ω resistor are connected in series across a 10-V,…

Q: 13. The following three impedances are connected in series across a 40 V, 20 kHz supply: (i) a…

Q: Q-20: -An A.C generator has a maximum potential difference output of 150 volt. a) Find V rms Vvalue…

A: Given data: The maximum potential difference is VP=150 V. Resistance of the coil is R=30 Ω.

Q: An RLC series circuit shown below is driven by an AC source of voltage amplitude 230 volt and…

A: As per answering guidelines, I have answered first three parts only. Please upload other parts…

Q: How can the antenna be driven by an AC circuit?

A: What is an Antenna? An antenna is a metallic structure that captures and/or transmits radio…

Q: Suppose you wanted to design an LC circuit with a frequency of 0.01 Hz. What problems might you…

A: The impedance of the LC circuit can be expressed as

Q: 103. An inductor is connected to a 20.0-Hz power supply that produces a 50.0-V rms voltage. What…

A: Given: Frequency of power supply, f = 20 Hz RMS voltage, Vrms = 50 V Required maximum current, Imax…

Q: An oscillating LC circuit consisting of a 4.0 nF capacitor and a 4.0 mH coil has a maximum voltage…

A: SOLUTION AS

Q: 22. A simple RL circuit includes a 0.125-H inductor. If the circuit is to have a characteristic time…

Q: A coil of resistance 35.0 and inductance 20.5 H is in series with a capacitor and a 200-V (rms),…

A: Resistance of coil, XL = 35.0 ? Inductance of coil, L = 20.5 H Source voltage, Vrms = 200 V…

Q: 22) Determine the, , (rms), of a half-wave rectifier circuit connected to 1 KO. 1:1 230 V V ip :1 K

A: Primary to secondary turns is: N1/N2= 1 RMS primary voltage =…

Q: An inductor (L = 400 mH), a capacitor (C = 4.43 µF), and a resistor (R = 500 Ω) are connected in…

A: a) The expression to determine the impedance is,

Q: 4. If the resistance of an RLC circuit is doubled, but inductance and capacitance do not change, the…

A: In this problem, it is asking about the resonance frequency, when the resistance of a RLC circuit is…

Q: 5. The angular frequency of an LCR circuit operating at resonance frequency can be written as: 1 LC…

Q: Calculate the inductance of an LC circuit that oscillates at 135 Hz when the capacitance is 13.00…

A: Given that the value of capacitance for LC circuit and also given the frequency for LC circuit.Then…

Q: 9- In one series RL circuit, the inductance is L=5.0H and in another series RC circuit, the…

A: time constant for RC circuit is equal to RC time constant for RL circuit is equal to L/R and…

Q: 12. An LC circuit contains a 20mH inductor and a 50µF capacitor with an initial charge of 10mC. The…

A: Given value--- inductance = 20 mH. Capacitance = 50 micro F. initial Charge = 10 mC We have to…

Q: An RLC series circuit, R=21 Q, a capacitor (C and an inductor (L), is connected across a voltage…

Q: . An AC circuit where the power supply's frequency is set to 50 Hz includes a 30-mH inductor. What…

A: Useful formula: Inductive reactance= wL Where w is the angular frequency and L is the inductance.

Q: A 40µF capacitor in series with a coil of resistance 8 ohms and inductance 80mH is connected to a…

A: Note : According to our guidelines , we are only allowed to answer 3 subparts per question . If you…

Q: 6. Give one condition for resonance to occur in a series RLC circuit.

Q: *31 (a) At what frequency would a 6.0 mH inductor and a 10 µF capacitor have the same reactance? (b)…

Q: To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 37. An LC circuit consisting of a 6uH inductor and a 2µF capacitor has a total energy of 4 x 10-J.…

A: Given(s): Capacitance, C=2 μF=2×10-6 F Total energy, E=4×10-4 J Require: The maximum charge…

Q: An inductor (L = 400 mH), a capacitor (C = 4.43 µF), and a resistor (R = 500 Ω) are connected in…

A: Given : L = 400 mH = 400 x 10-3 H C = 4.43 µF = 4.43 x 10-6 F R = 500 Ω f = 56.0 Hz Imax = 415 mA =…

Q: 88. The current varies as a sine wave in an AC circuit with an amplitude of 2.0 A. What is the rms…

A: Given , Current variation - like sine wave Amplitude of current ( I•)= 2 A

Q: *31 (a) At what frequency would a 6.0 mH inductor and 10 µF capacitor have the same reactance? (b)…

A: Given:- The inductor L = 6 mH The capacitance is C = 10μF Find:- (a) At what frequency would a…

Q: Explain how the relative phase between voltage and current is given for an RLC circuit?

Q: 1. A 2.0-µF capacitor and a 0.50-H inductor are connected in series with a 2.0-k2 resistor to a…

Q: Assume that a 20-µF capacitor is charged to 45 Volts. The said capacitor is then connected to an…

A: Given that, Capacitor (c)= 20 × 10-⁶ F Voltage (V)= 45 v Inductor (L)= 3× 10-³ H Let the maximum…

Q: An RLC circuit is driven at its resonance frequency. Is itsimpedance greater than, less than, or…

A: The impedance of the RLC circuit Z=R2+XL-XC2

Question

23. Consider an LC circuit-that is, an RLC circuit with R =
0-with input voltage E(t) = Eo sin wt. Show that un-
bounded oscillations of current occur for a certain reso-
nance frequency; express this frequency in terms of L and
C.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

At what frequency will an 80.0 mF capacitor have a reactance of 0.250 ?
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 1.00 (H inductor connected to a variable capacitor. What range of capacitance is needed?
What capacitance should be used to produce a 2.00 M(reactance at 60.0 Hz?
A series RLC circuit consists of an 8.00- resistor, 5.00-F capacitor, and a 50.0-mH inductor. A variable frequency source applies an emf of 400 V (rms) across the combination. Assuming the frequency is equal to one-half the resonance frequency, determine the power delivered to the circuit.
What is the resonant frequency of a 0.500 mH inductor connected to a 40.0 (F capacitor?
A precision laboratory resistor is made of a coil of wire 1.50 cm in diameter and 4.00 cm long, and it has 500 turns. (a) What is its self-inductance? (b) What average emf is induced it the 12.0 A current through it is turned on in 5.00 ms (one-fourth of a cycle for 50 Hz AC)? (c) What is its inductance if it is shortened to half its length and counter-wound (two layers of 250 turns in opposite directions)?
An RLC circuit consists of a 150- resistor, a 21.0-F capacitor, and a 466-mH inductor connected in series with a 120-V, 60.0-Hz power supply. (a) What is the phase angle between the current and the applied voltage? (b) Which reaches its maximum earlier, the current or the voltage?
At what frequency will a 30.0 mH inductor have a reactance of 100 ?
An RL circuit consists of a 40.0 (resistor and a 3.00 mH inductor. (a) Find its impedance Z at l60.0 Hz and 10.0 kHz. (b) Compare these values of Z with mouse found in Example 23.12 in which there was also a capacitor.
An inductor (L = 400 mH), a capacitor (C = 4.43 F), C1 and a resistor (R = 500 11) are connected in series. A 50.0-Hz AC] source produces a peak current of 250 mA in the circuit, (a) Calculate the required peak voltage Vmax (b) Determine the phase angle by which the current leads or lags the applied voltage.
The LC circuit of a radar transmitter oscillates at 9.00 GHz. (a) What inductance is required for the circuit to resonate at this frequency if its capacitance is 2.00 pF? (b) What is the inductive reactance of the circuit at this frequency?