EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 16, Problem 10P
The step responses of a series RLC circuit are
Vc = 40 − 10e− 2000t − 10e− 4000t V, t > 0
iL(t) = 3e− 2000t + 6e−4000t mA, t > 0
- (a) Find C.
- (b) Determine what type of damping is exhibited by the circuit.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
18. A dc voltage E is applied across an RL circuit at t = 0. At what time after, is the voltage across the resistor equal to that across the inductor? A. 0.693 TC B. 0.673 TC C. 0.707 TC D. 0.779 TC
Kindly answer in a detailed solution please. Badly needed. Thank you
Charging Capacitor: For a charging capacitor the Kirchoff's Loop Rule gives
R
E – IR
C
ww
C
In this case the current is entering the positive plate so I = dQ/dt = CdAVc/dt
and we get
dVc
E – RC
- Vc = 0
dt
The solution to the differential equation is
V.(t) = E (1 – e-t/(RC))
(charging capacitor)
Notice that V.(0) = 0 and V.(0) = E as we expect for a charging capacitor.
5. You can easily find the time constant if you are given a graph of voltage across a charging capacitor as a function of
time. Whent = RC, the voltage across the capacitor is
V.(t = RC) = E(1 – e-1) × 0.63 E.
Therefore the time constant is just how long it takes for AV(t) to reach 63% of the EMF.
The graph shows the voltage across a charging capacitor as a function of time. The resistance of the circuit is 7.5 kN.
а.
Determine the capacitance of the capacitor.
10
8
60
40
time (ms)
20
80
100
b. What is the current at t =
10 ms? Hint: the easiest way to do this is to
use the loop rule.
(volts)
4.
Chapter 16 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
Ch. 16.2 - Determine vo(t) in the circuit of Fig. 16.6,...Ch. 16.2 - Prob. 2PPCh. 16.2 - Prob. 3PPCh. 16.3 - For the circuit shown in Fig. 16.12 with the same...Ch. 16.3 - Prob. 5PPCh. 16.3 - The initial energy in the circuit of Fig. 16.17 is...Ch. 16.4 - Prob. 7PPCh. 16.4 - Prob. 8PPCh. 16.4 - Prob. 9PPCh. 16.5 - Obtain the state variable model for the circuit...
Ch. 16.5 - Prob. 11PPCh. 16.5 - Prob. 12PPCh. 16.6 - For what value of is the circuit in Fig. 16.29...Ch. 16.6 - Prob. 14PPCh. 16.6 - Prob. 15PPCh. 16.6 - Synthesize the function Vo(s)Vin=2ss2+6s+10 using...Ch. 16 - Prob. 1RQCh. 16 - The current through an RL series circuit with...Ch. 16 - Prob. 3RQCh. 16 - Prob. 4RQCh. 16 - Prob. 5RQCh. 16 - Prob. 6RQCh. 16 - Prob. 7RQCh. 16 - Prob. 8RQCh. 16 - Prob. 9RQCh. 16 - Prob. 10RQCh. 16 - The current in an RLC circuit is described by...Ch. 16 - The differential equation that describes the...Ch. 16 - Prob. 3PCh. 16 - If R = 20 , L = 0.6 H, what value of C will make...Ch. 16 - The responses of a series RLC circuit are vc(t) =...Ch. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - The step responses of a series RLC circuit are Vc...Ch. 16 - The step response of a parallel RLC circuit is v =...Ch. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - For the circuit in Fig. 16.38. calculate the value...Ch. 16 - The capacitor in the circuit of Fig. 16.39 is...Ch. 16 - If is(t) = 7.5e2t u(t) A in the circuit shown in...Ch. 16 - Find v(t), t 0 in the circuit of Fig. 16.41. Let...Ch. 16 - The switch in Fig. 16.42 moves from position A to...Ch. 16 - Find i(t) for t 0 in the circuit of Fig. 16.43.Ch. 16 - In the circuit of Fig. 16.44, the switch moves...Ch. 16 - Find the voltage across the capacitor as a...Ch. 16 - Obtain v (t) for t 0 in the circuit of Fig....Ch. 16 - The switch in the circuit of Fig. 16.47 has been...Ch. 16 - Calculate v(t) for t 0 in the circuit of Fig....Ch. 16 - Prob. 26PCh. 16 - Find v (t) for t 0 in the circuit in Fig. 16.50.Ch. 16 - For the circuit in Fig. 16.51, find v(t) for t 0.Ch. 16 - Prob. 29PCh. 16 - Find vo(t), for all t 0, in the circuit of Fig....Ch. 16 - Prob. 31PCh. 16 - For the network in Fig. 16.55, solve for i(t) for...Ch. 16 - Using Fig. 16.56, design a problem to help other...Ch. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - The switch in the circuit of Fig. 16.61 is moved...Ch. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Find v(t) for t 0 in the circuit in Fig. 16.68.Ch. 16 - Prob. 46PCh. 16 - Determine io(t) in the network shown in Fig....Ch. 16 - Prob. 48PCh. 16 - Find i0(t) for t 0 in the circuit in Fig. 16.72....Ch. 16 - Prob. 50PCh. 16 - In the circuit of Fig. 16.74, find i(t) for t 0.Ch. 16 - Prob. 52PCh. 16 - In the circuit of Fig. 16.76, the switch has been...Ch. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Calculate io(t) for t 0 in the network of Fig....Ch. 16 - Prob. 57PCh. 16 - Prob. 58PCh. 16 - Find vo(t) in the circuit of Fig. 16.82 if vx(0) =...Ch. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Using Fig. 16.85, design a problem to help other...Ch. 16 - Consider the parallel RLC circuit of Fig. 16.86....Ch. 16 - The switch in Fig. 16.87 moves from position 1 to...Ch. 16 - For the RLC circuit shown in Fig. 16.88, find the...Ch. 16 - For the op amp circuit in Fig. 16.89, find v0(t)...Ch. 16 - Given the op amp circuit in Fig. 16.90, if v1(0+)...Ch. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Using Fig. 16.93, design a problem to help other...Ch. 16 - Prob. 71PCh. 16 - The transfer function of a system is H(s)=s23s+1...Ch. 16 - Prob. 73PCh. 16 - Design a problem to help other students better...Ch. 16 - Prob. 75PCh. 16 - For the circuit in Fig. 16.95, find H(s) =...Ch. 16 - Obtain the transfer function H(s) = VoVs for the...Ch. 16 - Prob. 78PCh. 16 - For the circuit in Fig. 16.97, find: (a) I1/Vs (b)...Ch. 16 - Refer to the network in Fig. 16.98. Find the...Ch. 16 - Prob. 81PCh. 16 - Prob. 82PCh. 16 - Refer to the RL circuit in Fig. 16.101. Find: (a)...Ch. 16 - A parallel RL circuit has R = 4 and L = 1 H. The...Ch. 16 - Prob. 85PCh. 16 - Prob. 86PCh. 16 - Prob. 87PCh. 16 - Prob. 88PCh. 16 - Develop the state equations for the circuit shown...Ch. 16 - Prob. 90PCh. 16 - Prob. 91PCh. 16 - Prob. 92PCh. 16 - Prob. 93PCh. 16 - Prob. 94PCh. 16 - Prob. 95PCh. 16 - Prob. 96PCh. 16 - A system is formed by cascading two systems as...Ch. 16 - Determine whether the op amp circuit in Fig....Ch. 16 - It is desired realize the transfer function...Ch. 16 - Prob. 100PCh. 16 - Prob. 101PCh. 16 - Synthesize the transfer function...Ch. 16 - Prob. 103CPCh. 16 - Prob. 104CPCh. 16 - Prob. 105CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Questions A, B, C and Darrow_forwardWrite a small essay about transient in RL Circuits then : For the circuit shown below, The switch has been in open for along time. At t=0 it is * .closed. Find iL for t>0arrow_forwardNatural Response of RLC Circuita. charge in capacitor at steady state b. di/dt (in A/s) at t=0+(The previous answer which were 0.001 and -31.25 were incorrect. I do not know what were the miscalculations, please do NOT provide those as answers anymore. Thanks)arrow_forward
- In the circuit below R=800Q, L=0.4H, C=2.5 µF and Vs=10OV. The type of the transient is 1 = 0 R L. elll Vs C Over damped Under damped Critically dampedarrow_forwardD. topic is all about APPLICATIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONSplease show complete solution4. Find the transient charge in an RLC series circuit when:L = 1H C = 0.25FR = 2Ω E(t) = 50 cos tVarrow_forwardHomeworkl: A second-order series RLC circuit, shown in Figure below, has some damping due to the resistor. Determine: 1. The key parameters for this circuit in terms of R, L, and C. 2. The time response and the error signal for this system if it is called undamped system. i R Vi Vo 7 Scanned with CamScanner Computer Technology Eng. Dept. Control Enginecering Fundamentals Third Class Answer: c(t) = (1- coswnt) u(t) e(t): = coswnt u(t) Homework?arrow_forward
- Write a small essay about transient in RL Circuits then : For the circuit shown below, The switch has been in open for along time. At t=0 it is * .closed. Find iL for t>0arrow_forwardI need help figuring out the values for D, E, and F for this circuit problemarrow_forwardplease solve A-Earrow_forward
- An LC circuit like the one in the Figure contains an 25.1-mH inductor and a 224-µF capacitor that initially carries a 212-μC charge. The switch is open for t < 0 and then thrown closed at t = 0. At t = 1.97-ms, find the current in the circuit (unit in mA). t C -ww- Larrow_forwardA resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t) = VC0sin(omegat). What is the amlitude of the total current I(t) in the circuit?arrow_forwardE. topic is all about APPLICATIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONSplease show complete solution4. Find the transient charge in an RLC series circuit when:L = 1H C = 0.25FR = 2Ω E(t) = 50 cos tV5. Find the steady-state current of the circuit given in Problem 4.ANSWER NUMBER 5 ONLY PLEASEarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Routh Hurwitz Stability Criterion Basic Worked Example; Author: The Complete Guide to Everything;https://www.youtube.com/watch?v=CzzsR5FT-8U;License: Standard Youtube License