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
Textbook Question
Chapter 31, Problem 38P
The current amplitude I versus driving angular frequency ωd for a driven RLC circuit is given in Fig. 31-30, where the vertical axis scale is set by Is = 4.00 A. The inductance is 200 µH, and the emf amplitude is 8.0 V. What are (a) C and (b) R?
Figure 31-30 Problem 38.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The current amplitude / versus driving angular frequency w for a driven RLC circuit is given in the figure, where the vertical axis scale
is set by I, = 4.28 A. The inductance is 234 pH, and the emf amplitude is 11 V. What are (a)C and (b)R?
(a) Number
(b) Number i
I(A)
Units
Units
10
30
(1000 rad/s)
50
Problem 1: An AC current source is connected to an inductor with an inductance L = 6 H. At time t= 0, the current through
the inductor is io 0 A. The power supply provides a time-dependent current i through the inductor as described by the following
equation : i()-10.cos(ot), where ω-500 rad/s. The current is measured in units of Amps
ions sharing
Part (a) Determine the current through the inductor, in amperes, at time t
5.5 sec.
Δ
tan()
acos()
sinh()
cos(0)
HOME
sin
cotan
atan()a
4 5 6
acotansin
cosh) tanhO cotanh
ODegrees O Radians
0
BACKSPACE
CLEAR
Submit
I give up!
Hints: 0 for a 0% deduction. Hints remaining: 0
Feedback: 1% deduction per feedback.
Part (b) Determine the voltage across the inductor, in volts, at time t 5.5 sec.
A Part (c) Determine the magnitude of the maximum voltage, in volts, across the
inductor.
In a purely inductive AC circuit as shown in the figure, AV,
= 100 V.
max
AVmax sin 27ft
L
(a) The maximum current is 5.40 A at 72.0 Hz. Calculate the inductance L.
mH
(b) At what angular frequency w is the maximum current 1.50 A?
rad/s
ell
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
MAKE CONNECTIONS Which chemical group is most likely to be responsible for an organic molecule behaving as a ba...
Campbell Biology (11th Edition)
Explain all answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desig...
Cosmic Perspective Fundamentals
The data were obtained from a use-dilution test comparing four disinfectants against Salmonella choleraesuis. G...
Microbiology: An Introduction
10.1 Indicate whether each of the following statements is characteristic of an acid, a base, or
both:
has a so...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Name the components (including muscles) of the thoracic cage. List the contents of the thorax.
Human Physiology: An Integrated Approach (8th Edition)
Two culture media were inoculated with four different bacteria. After incubation, the following results were ob...
Microbiology: An Introduction
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 the figure, ΔVmax = 100 V. (a) The maximum current is 4.00 A at 70.0 Hz. Calculate the inductance L.H(b) At what angular frequency ? is the maximum current 3.50 A?rad/sarrow_forwardAn L-R-C series circuit has inductance 42.0 mH, capacitanceC, and resistance R. Without the resistor, the angular frequencyof oscillation is 624 rad/s. With the resistor, the angular frequency is208 rad/s. Find the values of (a) C and (b) R.arrow_forwardThe current amplitude I versus driving angular frequency wa for a driven RLC circuit is given in the figure, where the vertical axis scale is set by Is = 4.00 A. The inductance is 216 µH, and the emf amplitude is 11 V. What are (a)C and (b)R? 0. 10 30 50 wz (1000 rad/s) (a) Number i Units (b) Number i Units I (A)arrow_forward
- An ac generator with emf em sin vdt, where m e=25.0 V and vd 377 rad/s, is connected to a 4.15 mF capacitor. (a)What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c)When the emf of the generator is -12.5 V and increasing in magnitude, what is the current?arrow_forwardIn a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V. A square circuit is shown. On its left side is an AC source of voltage ΔVmax sin(2?ft). On the right side of the loop is an inductor of inductance L. (a) The maximum current is 6.80 A at 42.0 Hz. Calculate the inductance L. mH (b) At what angular frequency ? is the maximum current 3.10 A? rad/sarrow_forwardA series RLC circuit, with the components 1.4 kN, 22 mH and 1.8 µF, is connected to an alternating emf source of the amplitude ɛm = 18.0 V at the angular frequency @g. Assuming the circuit is under resonance, calculate the root mean square of the current , in mA, through the circuit?arrow_forward
- Problem 5: In the AC circuit shown in the figure the values are Vms = 121 V, C= 203 µF, and R = 10.2 Q. The frequency of the voltage source is 53 Hz. The voltage across the resistor in the circuit leads the source voltage by 15.5°. L V rms Find the inductance of the inductor, in millihenrys. L = sin() cos() tan() 7 8 HOME cotan() asin() acos() E 4 atan() sinh() acotan() * 1 2 3 cotanh() ODegrees O Radians cosh() tanh() END Vol BACKSPACE D CLEARarrow_forwardIn an RLC circuit assume that R =5.00 , L =60.0 mH, fd = 60.0 Hz, and m = 30.0 V. For what valuesof the capacitance would the average rate at which energy isdissipated in the resistance be (a) a maximum and (b) a minimum?What are (c) the maximum dissipation rate and the corresponding(d) phase angle and (e) power factor? What are (f) the minimum dissipation rate and the corresponding (g) phase angle and (h) power factor?arrow_forwardIn a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V. A square circuit is shown. On its left side is an AC source of voltage ΔVmax sin(2?ft). On the right side of the loop is an inductor of inductance L. (a) The maximum current is 8.70 A at 55.0 Hz. Calculate the inductance L. (b) At what angular frequency ? is the maximum current 2.40 A?arrow_forward
- An LL-RR-CC series circuit has inductance 42.0 mHmH, capacitance CC, and resistance RR. 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 CC.arrow_forwardProblem 4: A 1.3-kN resistor and 25.9-mH inductor are connected in series to a Vrms = 120 V AC power source oscillating at a frequency of f= 60 Hz. The voltage as a function of time is given by V= Vocos(ot), where Vo is the amplitude, o is the angular frequency. E A 10% Part (a) What is the amplitude of the source voltage, in volts? - A 10% Part (b) Enter an expression for the impedance of the circuit in terms of R, L, f, and a. EA 10% Part (c) Enter an expression for the tangent of the phase constant of the circuit in terms of R, L, f, and r. a 10° (d) Assume the time dependence of the source voltage is given by V= Vocos377t, where the amplitude Vo is what you calculated in part (a) and the angular frequency is (2n)60 rad/s 377 rad/s. Select the correct expression for the current in the circuit. - a 10% Part (e) Find the current in the circuit, in amperes, at time t = 4.9 s. H a 10% Part (f) Find the voltage drop across the resistor, in volts, at time t= 4.9 s. I A 10% Part (g) Find…arrow_forwardIn the given circuit the AC source has @ = 100 rad s¯¹. Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit? 100 μF 100 Ω www mmmm wwwww 0.50 Η 50 Ω 200 Varrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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