University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 30, Problem 30.38E
An L-R-C series circuit has L = 0.600 H and C = 3.00 μF. (a) Calculate the angular frequency of oscillation for the circuit when R = 0. (b) What value of R gives critical damping? (c) What is the oscillation frcqucncy ω′ when R has half of the value that produces critical damping?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An L-R-C series circuit has L = 0.800 H and C = 9.00 μF. Calculate the angular frequency of oscillation for the circuit when R = 0. What value of R gives critical damping? What is the oscillation frequency ω′ when R has half of the value that produces critical damping?
(a) What is the resonant frequency of an RLC seriescircuit with R = 20 Ω, L = 2.0 mH , and C = 4.0µF?(b) What is the impedance of the circuit at resonance?
In a damped oscillating circuit the energy is dissipated in the resistor. The Q-factor is a measure of the persistence of the oscillator against the dissipative loss. (a) Prove that for a lightly damped circuit the energy, U, in the circuit decreases according to the following equation. dU dt = −2βU, where β = R2L . (b) Using the definition of the Q-factor as energy dividedby the loss over the next cycle, prove that Q-factor of a lightly damped oscillator as defined in this problem is Q ≡ Ubegin ΔUone cycle = 1 R L C. (Hint: For (b), to obtain Q, divide E at the beginning of one cycle by the change ΔE over the next cycle.)
Chapter 30 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Ch. 30.1 - Consider the Tesla coil described in Example 30.1....Ch. 30.2 - Prob. 30.2TYUCh. 30.3 - Prob. 30.3TYUCh. 30.4 - Prob. 30.4TYUCh. 30.5 - Prob. 30.5TYUCh. 30.6 - An L-R-C series circuit includes a 2.0- resistor....Ch. 30 - In an electric trolley or bus system, the vehicles...Ch. 30 - From Eq. (30.5) 1 H = 1 Wb/A. and from Eqs. (30.4)...Ch. 30 - Prob. 30.3DQCh. 30 - Prob. 30.4DQ
Ch. 30 - Prob. 30.5DQCh. 30 - Two closely wound circular coils have the same...Ch. 30 - Prob. 30.7DQCh. 30 - For the same magnetic field strength B, is the...Ch. 30 - Prob. 30.9DQCh. 30 - A Differentiating Circuit. The current in a...Ch. 30 - In Section 30.5 Kirchhoffs loop rule is applied to...Ch. 30 - Prob. 30.12DQCh. 30 - Prob. 30.13DQCh. 30 - In the R-L circuit shown in Fig. 30.11, is the...Ch. 30 - Prob. 30.15DQCh. 30 - In an L-R-C series circuit, what criteria could be...Ch. 30 - Prob. 30.1ECh. 30 - Prob. 30.2ECh. 30 - Prob. 30.3ECh. 30 - Prob. 30.4ECh. 30 - Prob. 30.5ECh. 30 - Prob. 30.6ECh. 30 - A 2.50-mH toroidal solenoid has an average radius...Ch. 30 - Prob. 30.8ECh. 30 - Prob. 30.9ECh. 30 - Prob. 30.10ECh. 30 - Prob. 30.11ECh. 30 - Prob. 30.12ECh. 30 - Prob. 30.13ECh. 30 - A long, straight solenoid has 800 turns. When the...Ch. 30 - Prob. 30.15ECh. 30 - Prob. 30.16ECh. 30 - Prob. 30.17ECh. 30 - Prob. 30.18ECh. 30 - Prob. 30.19ECh. 30 - Prob. 30.20ECh. 30 - In a proton accelerator used in elementary...Ch. 30 - It is proposed to store l.00 kWh = 3.60 106J of...Ch. 30 - Prob. 30.23ECh. 30 - Prob. 30.24ECh. 30 - Prob. 30.25ECh. 30 - In Fig. 30.11, switch S1 is closcd while switch S2...Ch. 30 - In Fig. 30.11, suppose that = 60.0 V, R = 240 ,...Ch. 30 - Prob. 30.28ECh. 30 - Prob. 30.29ECh. 30 - Prob. 30.30ECh. 30 - In an L-C circuit. L = 85.0 mH and C = 3.20F....Ch. 30 - Prob. 30.32ECh. 30 - A 7.50-nF capacitor is charged up to 12.0 V, then...Ch. 30 - Prob. 30.34ECh. 30 - Prob. 30.35ECh. 30 - A Radio Tuning Circuit. The minimum capacitance of...Ch. 30 - An L-C circuit containing an 80.0-mH inductor and...Ch. 30 - An L-R-C series circuit has L = 0.600 H and C =...Ch. 30 - Prob. 30.39ECh. 30 - An L-R-C series circuit has L = 0.400 H, C = 7.00...Ch. 30 - Prob. 30.41ECh. 30 - Prob. 30.42PCh. 30 - Prob. 30.43PCh. 30 - Prob. 30.44PCh. 30 - Solar Magnetic Energy. Magnetic fields within a...Ch. 30 - CP CALC A Coaxial Cable. A small solid conductor...Ch. 30 - Prob. 30.47PCh. 30 - CALC Consider the circuit in Fig. 30.11 with both...Ch. 30 - Prob. 30.49PCh. 30 - Prob. 30.50PCh. 30 - Prob. 30.51PCh. 30 - Prob. 30.52PCh. 30 - Prob. 30.53PCh. 30 - A 6.40-nF capacitor is charged to 24.0 V and then...Ch. 30 - An L-C circuit consists of a 60.0-mH inductor and...Ch. 30 - A charged capacitor with C = 590 F is connected in...Ch. 30 - CP In the circuit shown in Fig. P30.57, the switch...Ch. 30 - Prob. 30.58PCh. 30 - Prob. 30.59PCh. 30 - Prob. 30.60PCh. 30 - Prob. 30.61PCh. 30 - Prob. 30.62PCh. 30 - Prob. 30.63PCh. 30 - After the current in the circuit of Fig. P30.63...Ch. 30 - CP In the circuit shown in Fig. P30.65, switch S...Ch. 30 - Prob. 30.66PCh. 30 - Prob. 30.67PCh. 30 - Prob. 30.68PCh. 30 - Prob. 30.69PCh. 30 - CP A Volume Gauge. A tank containing a liquid has...Ch. 30 - Prob. 30.71CPCh. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...
Additional Science Textbook Solutions
Find more solutions based on key concepts
3. A car travels to the left at a steady speed for a few seconds, then brakes for a stop sign. Use the particle...
College Physics: A Strategic Approach (4th Edition)
The reason due to which solutions of the substances CH4 and SiO2 do not conduct electricity.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
1. When is energy most evident?
Conceptual Physics (12th Edition)
5.87 Block A in Fig. P5.87 weighs 1.90 N, and block B weighs 4.20 N. The coefficient of kinetic friction betwee...
University Physics (14th Edition)
The potential difference across each resistor.
College Physics: A Strategic Approach (3rd Edition)
A voltage occurs across an open switch. What is the power dissipated by the open switch?
University Physics Volume 2
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Check Your Understanding In the circuit of Figure 15.11, L=2.0103H,C=5.0104F , and R=40 (a) What is the resonant frequency? (b) What Is the Impedance of the circuit at resonance? (c) If the voltage amplitude is 10 V, what is i(t) at resonance? (d) The frequency of the AC generator is now changed to 200 Hz. Calculate the phase difference between the current and the emf of the generator. The ac circuit shown in Figure 15.11, called an RLC series circuit, is a series combination of a resistor, capacitor, and inductor connected across an ac source. It produces an emf of Figure 15.11 (a) An RLC series circuit, (b) A comparison of the generator output voltage and the current the value of the phase difference depends on the values of R, C, and L.arrow_forwardAt s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?arrow_forwardShow that and dm/dt have the same units.arrow_forward
- Calculate the resonant angular freqency of an RLC series circuit for which R=20 , L=75mH, and C=4.0F , (b) If R is changed to 300, what happens to the resonant angular frequency?arrow_forwardIn an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses before the amplitude of the oscillations drops to half its initial value?arrow_forwardDo Kirchhoff’s rules apply to circuits that contain inductors and Capacitors?arrow_forward
- The purpose is to determine the current, and sometimes the phase difference between the voltage source and the current.In this case, determine the current amplitude (I0) when the circuit elements are these: ℰ₀ = 182 volts, ω = 2.71 rad/s, R = 87 Ω, L = 11 Henries, C = 0.039 Farads.arrow_forwardIn the given circuit a > w i-e overdamped case. Adjust the value of R for critical damped and underdamped case. Calculate i(t) and iR(t) for t> 0, for both the cases. 20 Ω 1= 0 ww 4 A 20 H 20 Ω 8 mF 30u(-1) V Page 2 of 2 ww elearrow_forwardConsider an LC circuit in which L = 480 mH and C = 0.108 µF. (a) What is the resonance frequency w,? krad/s (b) If a resistance of 1.12 kn is introduced into this circuit, what is the frequency of the damped oscillations? krad/s (c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency? %arrow_forward
- VCV'arrow_forwardProblem 6: Suppose the voltage source for a series RL-circuit were given as V0sin(ωt) instead of V0cos(ωt). Part (b) Calculate the current amplitude, in milliamperes, when V0 = 1.9 V, ω = 45 rad/s, R = 29 Ω, and L = 0.84 H. I0 = 39.88 Part (c) Enter an expression for the tangent of the phase constant in terms of ω, R, and L. tanφ = ______ Part (d) Calculate the phase constant, in radians in the range -π/2 ≤ φ ≤ π/2, for the circuit parameter values given in part (b). φ = ______arrow_forwardThe purpose is to determine the current, and sometimes the phase difference between the voltage source and the current. In this case, determine the current amplitude (I0) when the circuit elements are these: ℰ₀ = 196 volts, ω = 1.75 rad/s, R = 46 Ω, L = 10 Henries, C = 0.203 Farads.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Introduction To Alternating Current; Author: Tutorials Point (India) Ltd;https://www.youtube.com/watch?v=0m142qAZZpE;License: Standard YouTube License, CC-BY