Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 16, Problem 5P
The responses of a series RLC circuit are
vc(t) = [30 – 10e−20t + 30e−10t]u(t)V
iL(t) = [40e−20t − 60e−10t]u(t)mA
where vC(t) and iL(t) are the capacitor voltage and inductor current, respectively. Determine the values of R, L, and C.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit.
5
- h, R = 10 , C =
q(t)
i(t)
=
L =
1
-f, E(t) = 1400 V, q(0) = 0 C, i(0) = 0 A
70
-20e-7t[cos (7)t + sin(7)t]+20)
(280e-7tsin(7)t)
A
C
Find the maximum charge on the capacitor. (Round your answer to three decimal places.)
20.865
X C
You have a capacitor that's discharging through a resistor toward zero voltage. How many times RC must you wait for the capacitor to be more than 99% fully discharged?
Problem 1:
The capacitor is initialy uncharged.
The switch is closed at t-0. Find the following:
C- 50 uF
1. The time constant
2. The voltage of the capacitor at 0.1s.
3. The voltage of the capacitor at 2.5.
V35 V
Chapter 16 Solutions
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
- What is the inductance of a series RL circuit in which R = 2,0 KQ if the current increases to one- %3D fourth of its final value in 60 us? C 99 mH C 0.42 H 0.062 H C 1.1 Harrow_forwardConsider the following circuit. The initial voltage across the capacitor is 15V and the initial current through the inductor is 0. The voltage response fort>=0 is v(t)=-5e -5000t+20e¯2000t v. R Vo 0.05µF tir a) Determine the value for R b) Determine the value for L in mili Henry -5000t+A2e -20000t A. The response for iL(t) is Aje¯ c) Determine A1 d) Determine A2 +arrow_forwardIf in an RC circuit, the capacitance is increased by 20% and the resistance, R, is increased by 10%, the time constant, T,: OA. Will be increased by 20% O B. O C. O D. OE. None of the choices are correct Will be increased by 15% Will be increased by 32% Will be decreased by 10%arrow_forward
- QUESTION 7 0 17 27 37 47 57 67 77 87 97 107 117 127 137 147 157 I The graph above indicate which of the following choices in a simple RC circuit with a charging and discharging phase. Current through the capacitor Voltage across the resistor Voltage across the capacitor Current through the discharging resistor O O Oarrow_forwardQues 2 An RLC series circuit has R = 502, C = 50µF and a variable inductance. The applied voltage is 220 V at 100 rad/sec. The inductance is varied till the voltage across resistance is maximum. Under this condition, find the (i). Value of inductance (ii) Q - Factorarrow_forwardB R-2000 Q Consider the following RC circuit with an unkown capacitance C. In this circuit, the capacitor charges when the switch is connected to B and discharges through the resistor when the switch is connected to А. The voltage across the capacitor decreases with time when the capacitor discharges. The following table shows the voltage across the capacitor from t = 1s to t= 10s during its discharge in an RC circuit experiment. t (s) 1 2 | 3 4 7 9 10 V(V) 9.4 7.31 5.15 3.55 2.81 2.04 1.26 0.97 0.74 0.58 Use Matlab/Octave to do the following: *In all graphs add title, legend and axis labels 1. Estimate the time at which the voltage V=5.0 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 different values of time, t between 1 to 10s. 3. You can calculate the current in the circuit using Ohm’s law (I= V/R) at each time, 1 Using the interpolated voltage data in (2), calculate the current at each time. 4. From the current () versus time data in (3), calculate…arrow_forward
- A 100-mH inductor is connected in parallel to the series connection of a variable resistor R and a 20-µF capacitor. The circuit is energized by a 120 Vac, 60-Hz supply. Find the value of R such that the total circuit current is 2.3023052 - 86.6782° A.arrow_forward4. An alternating source drives a series RLC circuit with an emf amplitude of 6 V, at a phase angle of +30.0°. When the potential difference across the capacitor reaches its maximum positive value of +5 V, what is the potential difference across the inductor (sign included)?arrow_forwardIn a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t+ n/2). The displacement current (in Amperes) through the capacitor isarrow_forward
- DISCUSSION: 1. Explain why a series RL circuit with high inductance has a slow response?arrow_forwardRequired information Consider the given circuit, where L-12 mil and is-3emA 4 mmH 6 mH NOTE: This is a multi-part question Once an answer is submitted, you will be unable to return to this part Find the energy stored in the given inductor Lat -1s The energy stored in the inductor is 24.53 nJarrow_forwardIn a series RLC circuit driven by sinusoidal input signal, the phase between the current and the input voltage is plotted in the next graph. If the inductance L= 5 mH and the resistance R=1 k2 then the capacitance in the circuit (in units of uF) is about: 1.6 1.2 0.8 0.4 -0.4 -0.8 -1.2 -1.6 1 10 100 1000 Frequency (f), kHZ Phase (0), radarrow_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,
02 - Sinusoidal AC Voltage Sources in Circuits, Part 1; Author: Math and Science;https://www.youtube.com/watch?v=8zMiIHVMfaw;License: Standard Youtube License