Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 31, Problem 22P
A series circuit containing inductance L1 and capacitance C1 oscillates at angular frequency ω. A second series circuit, containing inductance L2 and capacitance C2, oscillates at the same angular frequency. In terms of ω, what is the angular frequency of oscillation of a series circuit containing all four of these elements? Neglect resistance. (Hint: Use the formulas for equivalent capacitance and equivalent inductance; see Module 25-3 and Problem 47 in Chapter 30.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A series circuit containing inductance L1 and capacitance C1 oscillates at angular frequency v. A second series circuit, containing inductance L2 and capacitance C2, oscillates at the same angular frequency. In terms of v, what is the angular frequency of oscillation of a series circuit containing all four of these elements? Neglect resistance.
An L-R-C series circuit has inductance 42.0 mH, capacitance C, and resistance R. Without the resistor, the angular frequency of oscillation is 624 rad/srad/s. With the resistor, the angular frequency is 208 rad/s. Find the value of C.
Find the value of R.
An L-R-C series circuit has inductance 42.0 mH, capacitance C, and resistance R. Without the resistor, the angular frequency of oscillation is 624 rad/srad/s. With the resistor, the angular frequency is 208 rad/srad/s. Find the value of C and R.
The value of R is NOT 69.888 ohms OR 8.736 ohms
Chapter 31 Solutions
Fundamentals of Physics Extended
Ch. 31 - Figure 31-19 shows three oscillating LC circuits...Ch. 31 - Figure 31-20 shows graphs of capacitor voltage vc...Ch. 31 - Prob. 3QCh. 31 - What values of phase constant in Eq. 31-12 allow...Ch. 31 - Curve a in Fig. 31-21 gives the impedance Z of a...Ch. 31 - Prob. 6QCh. 31 - Prob. 7QCh. 31 - The values of the phase constant for four...Ch. 31 - Prob. 9QCh. 31 - Figure 31-24 shows three situations like those of...
Ch. 31 - Prob. 11QCh. 31 - Figure 31-25 shows the current i and driving emf ...Ch. 31 - Prob. 13QCh. 31 - An oscillating LC circuit consists of a 75.0 mH...Ch. 31 - The frequency of oscillation of a certain LC...Ch. 31 - In a certain oscillating LC circuit, the total...Ch. 31 - What is the capacitance of an oscillating LC...Ch. 31 - In an oscillating LC circuit, L = 1.10 mH and C =...Ch. 31 - A 0.50 kg body oscillates in SHM on a spring that,...Ch. 31 - SSM The energy in an oscillating LC circuit...Ch. 31 - A single loop consists of inductors L1, L2, . . ....Ch. 31 - ILW In an oscillating LC circuit with L = 50 mH...Ch. 31 - Prob. 10PCh. 31 - SSM WWW A variable capacitor with a range from 10...Ch. 31 - In an oscillating LC circuit, when 75.0 of the...Ch. 31 - In an oscillating LC circuit, L = 3.00 mH and C =...Ch. 31 - To construct an oscillating LC system, you can...Ch. 31 - ILW An oscillating LC circuit consisting of a 1.0...Ch. 31 - An inductor is connected across a capacitor whose...Ch. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Using the loop rule, derive the differential...Ch. 31 - GO In an oscillating LC circuit in which C = 4.00...Ch. 31 - Prob. 21PCh. 31 - A series circuit containing inductance L1 and...Ch. 31 - GO In an oscillating LC circuit, L = 25.0 mH and C...Ch. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - GO In an oscillating series RLC circuit, find the...Ch. 31 - SSM In an oscillating series RLC circuit, show...Ch. 31 - A 1.50 F capacitor is connected as in Fig. 31-10...Ch. 31 - ILW A 50.0 mH inductor is connected as in Fig....Ch. 31 - A 50.0 resistor is connected as in Fig. 31-8 to...Ch. 31 - a At what frequency would a 6.0 mH inductor and a...Ch. 31 - GO An ac generator has emf = m sin dt, with m =...Ch. 31 - SSM An ac generator has emf = m sindt = /4, where...Ch. 31 - GO An ac generator with emf = m sin dt, where m =...Ch. 31 - ILW A coil of inductance 88 mH and unknown...Ch. 31 - An alternating source with a variable frequency, a...Ch. 31 - An electric motor has an effective resistance of...Ch. 31 - The current amplitude I versus driving angular...Ch. 31 - Remove the inductor from the circuit in Fig. 31-7...Ch. 31 - An alternating source drives a series RLC circuit...Ch. 31 - Prob. 41PCh. 31 - An alternating source with a variable frequency,...Ch. 31 - Prob. 43PCh. 31 - GO An ac generator with emf amplitude m = 220 V...Ch. 31 - GO ILW a In an RLC circuit, can the amplitude of...Ch. 31 - GO An alternating emf source with a variable...Ch. 31 - SSM WWW An RLC circuit such as that of Fig. 31-7...Ch. 31 - Prob. 48PCh. 31 - GO In Fig. 31-33, a generator with an adjustable...Ch. 31 - An alternating emf source with a variable...Ch. 31 - SSM The fractional half-width d of a resonance...Ch. 31 - An ac voltmeter with large impedance is connected...Ch. 31 - SSM An air conditioner connected to a 120 V rms ac...Ch. 31 - What is the maximum value of an ac voltage whose...Ch. 31 - What direct current will produce the same amount...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - For Fig. 31 -35, show that the average rate at...Ch. 31 - GO In Fig. 31-7, R = 15.0 , C = 4.70 F, and L =...Ch. 31 - Prob. 60PCh. 31 - SSM WWW Figure 31-36 shows an ac generator...Ch. 31 - Prob. 62PCh. 31 - SSM ILW A transformer has 500 primary turns and 10...Ch. 31 - Prob. 64PCh. 31 - An ac generator provides emf to a resistive load...Ch. 31 - In Fig. 31-35, let the rectangular box on the left...Ch. 31 - GO An ac generator produces emf = m sindt /4,...Ch. 31 - A series RLC circuit is driven by a generator at a...Ch. 31 - A generator of frequency 3000 Hz drives a series...Ch. 31 - A 45.0 mH inductor has a reactance of 1.30 k. a...Ch. 31 - An RLC circuit is driven by a generator with an...Ch. 31 - A series RLC circuit is driven in such a way that...Ch. 31 - A capacitor of capacitance 158 f and an inductor...Ch. 31 - An oscillating LC circuit has an inductance of...Ch. 31 - For a certain driven series RLC circuit, the...Ch. 31 - A L5D F capacitor has a capacitive re ac lance of...Ch. 31 - Prob. 77PCh. 31 - An electric motor connected to a 120 V, 60.0 Hz ac...Ch. 31 - SSM a In an oscillating LC circuit in terms of the...Ch. 31 - A series RLC circuit is driven by an alternating...Ch. 31 - SSM In a certain series RLC circuit being driven...Ch. 31 - A 1.50 mH inductor in an oscillating LC circuit...Ch. 31 - A generator with an adjustable frequency of...Ch. 31 - A series RLC circuit has a resonant frequency of...Ch. 31 - SSM An LC circuit oscillates at a frequency of...Ch. 31 - When under load and operating at an rms voltage of...Ch. 31 - The ac generator in Fig. 31-39 supplies 120 V at...Ch. 31 - In an oscillating LC circuit, L = 8.00 mH and C =...Ch. 31 - Prob. 89PCh. 31 - What capacitance would you connect across a 1.30...Ch. 31 - A series circuit with resistor inductor ...Ch. 31 - Prob. 92PCh. 31 - When the generator emf in Sample Problem 31.07 is...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Which joints are formed by the femur?
Principles of Anatomy and Physiology
How do you think a cell performing cellular respiration rids itself of the resulting CO2?
Campbell Biology in Focus (2nd Edition)
S
10. FIGURE EX6.10 shows the velocity graph of a 2.0 kg object as it moves along the x-axis. What is the net ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
The glycine cleavage system is a group of four enzymes that together catalyze the following reaction: glycine+T...
Organic Chemistry (8th Edition)
What are the two types of bone marrow, and what are their functions?
Human Anatomy & Physiology (2nd Edition)
8.63 Two flasks of equal volume and at the same temperature contain different gases. One flask contains 10.0 g ...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
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
- In a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15arrow_forwardReview. The voltage phasor diagram for a certain series RLC circuit is shown in Figure P33.59. The resistance of the circuit is 75.0 , and the frequency is 60.0 Hz. Find (a) the maximum voltage Vmax, (b) the phase angle , (c) the maximum current, (d) the impedance, (e) the capacitance and (f) the inductance of the circuit, and (g) the average power delivered to the circuit.arrow_forwardAn RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil has a resistance of 20. The source for the circuit has an tins emf of 240 V at a frequency of 60 Hz. Calculate the tins voltages across the (a) resistor, (b) capacitor, and (c) inductor.arrow_forward
- A simple series circuit consists of just a 38.1 µF capacitor and an 194 mH inductor, with no appreciable resistance. At t = 0 the capacitor has a charge of 5.4 µC and the current in the inductor is zero. How long after t = 0 will the current in the circuit first reach its maximum value? Hint: Draw a graph of current vs. time. Provide the solution: ______msarrow_forwardAn inductor is connected to a 11 kHz oscillator. The peak current is 62 mA when the rms voltage is 5.4 V . What is the value of the inductance L?arrow_forwardThe switch in a series RL circuit with a re- sistance of 6.1n, inductance of 3.1 H, and voltage of 35.3 V is closed at t = 0.4 s. What is the maximum current in the cir- cuit? Answer in units of A. What is the current when t = 1.2 s? Answer in units of A.arrow_forward
- In a series LRC circuit shown below, what is the inductance L of the inductor? Given that the ac circuit is operating at a 60-Hz frequency source and has a voltage amplitude of 120 V, the capacitive reactance is 300 ohms, the inductive reactance is 100 ohms, and the resistance is 300 2. 60 Hz L O 265 mH O 796 mH O 3700 mH O 1700 mH O 2900 mHarrow_forwardA circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is ele R1 = 299 Q. The values for the inductances are: L1 = 208 mH and L2 = 181 mH. The capacitance is C = 97 µF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. V L2 1) The switch has been closed for a long time when at time t = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened? Submit + 2) What is wo, the sonant frequency of the circuit just after the switch is opened? radians/s Submit +) 3) What is Qmax, the magnitude of the maximum charge on the capacitor after the switch is opened? µC Submit 4) 'What is Q(tj), the charge on the capacitor at time t = t1 = 3.13 ms. Q(tj) is defined to be positive if V(a) – V(b) is positive. uc Submit 5) What is t2, the first time after the switch is opened that the energy stored in the…arrow_forwardA circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 231 0. The values for the inductances are: L1 = 307 mH and L2 = 114 mH. The capacitance is C = 190 uF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. R, L2 b 1) The switch has been closed for a long time when at time t = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened? J Submit 2) What is wo, the resonant frequency of the circuit just after the switch is opened? radians/s Submit 3) What is Qmax: the magnitude of the maximum charge on the capacitor after the switch is opened? uC Submit 4) What is Q(t1), the charge on the capacitor at time t = t = 4.83 ms. Q(t1) is defined to be positive if V(a) - V(b) is positive. uC Submit 5) What is t7, the first time after the switch is opened that the energy stored in the capacitor…arrow_forward
- A circuit has a resistor with resistance equal to 8 Ω and an inductor with inductance 8e-4 H. What is the average power dissipated in this circuit if the power supply has the following voltage, 7sin(5t)? None of the above 8.32 W 53.3 W 3.06 W 1.12 Warrow_forwardA series RLC circuit consists of a 60 resistor, a 2.2 mH inductor, and a 720 nF capacitor. It is connected to an oscillator with a peak voltage of 4.0 V. You may want to review (Pages 915-918). Part A Determine the impedance at frequency 3000 Hz. 15| ΑΣΦ Submit ▾ Part B Determine the peak current at frequency 3000 Hz. VE ΑΣΦ Submit Request Answer Part C Request Answer Submit |Π| ΑΣΦ C Determine phase angle at frequency 3000 Hz. Express your answer to the nearest degree. Request Answer H p ? ? ? Ω Aarrow_forwardA resistor, a capacitor and an inductor are connected in series (RLC circuit). If R = 100.0N, L = 0.160H, and C = 24.0µF,what angular frequency of A/C voltage will give a maximum current flow through the circuit ((i.e., the circuit is in resonance)? O 79.1 rad/s O 757 rad/s 882 rad/s None of the other answers. 200 rad/s 500 rad/sarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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