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 8, Problem 10P
The differential equation that describes the current in an RLC network is
Given that i(0) = 0, di(0)/dt = 6 mA/s, obtain i(t).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the inductor current using convolution
integral for t=1s and t=2s
I1
312
TH
2 t
of
Find the solution of the following Differential Equations .by exact
xdy – 4 ydx = 0
Find V(t) for t>0 in the circuit below
t=0
swi
R1
4 ka
1A
C1
5 uF
R2
6 ka Vt)
Chapter 8 Solutions
Fundamentals of Electric Circuits
Ch. 8.2 - The switch in Fig. 8.4 was open for a long time...Ch. 8.2 - For the circuit in Fig. 8.7, find: (a) iL(0+),...Ch. 8.3 - If R = 10 , L = 5 H, and C = 2 mF in Fig. 8.8,...Ch. 8.3 - The circuit in Fig. 8.12 has reached steady state...Ch. 8.4 - In Fig. 8.13, let R = 2 , L = 0.4 H, C = 25 mF,...Ch. 8.4 - Refer to the circuit in Fig. 8.17. Find v(t) for t...Ch. 8.5 - Having been in position a for a long time, the...Ch. 8.6 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 8.7 - Determine v and i for t 0 in the circuit of Fig....Ch. 8.7 - For t 0, obtain v0(t) in the circuit of Fig....
Ch. 8.8 - In the op amp circuit shown in Fig. 8.34, vs =...Ch. 8.9 - Find i(t) using PSpice for 0 t 4 s if the pulse...Ch. 8.9 - Refer to the circuit in Fig. 8.21 (see Practice...Ch. 8.10 - Draw the dual circuit of the one in Fig. 8.46.Ch. 8.10 - For the circuit in Fig. 8.50, obtain the dual...Ch. 8.11 - In Fig. 8.52, find the capacitor voltage vC for t ...Ch. 8.11 - The output of a D/A converter is shown in Fig....Ch. 8 - For the circuit in Fig. 8.58, the capacitor...Ch. 8 - For Review Questions 8.1 and 8.2. 8.2For the...Ch. 8 - When a step input is applied to a second-order...Ch. 8 - If the roots of the characteristic equation of an...Ch. 8 - In a series RLC circuit, setting R = 0 will...Ch. 8 - Prob. 6RQCh. 8 - Refer to the series RLC circuit in Fig. 8.59. What...Ch. 8 - Consider the parallel RLC circuit in Fig. 8.60....Ch. 8 - Match the circuits in Fig. 8.61 with the following...Ch. 8 - Prob. 10RQCh. 8 - For the circuit in Fig. 8.62, find: (a)i(0+) and...Ch. 8 - Using Fig. 8.63, design a problem to help other...Ch. 8 - Refer to the circuit shown in Fig. 8.64....Ch. 8 - In the circuit of Fig. 8.65, find: (a) v(0+) and...Ch. 8 - Refer to the circuit in Fig. 8.66. Determine: (a)...Ch. 8 - In the circuit of Fig. 8.67, find: (a) vR(0+) and...Ch. 8 - A series RLC circuit has R = 20 k, L = 0.2 mH, and...Ch. 8 - Design a problem to help other students better...Ch. 8 - The current in an RLC circuit is described by...Ch. 8 - The differential equation that describes the...Ch. 8 - Prob. 11PCh. 8 - If R = 50 , L = 1.5 H, what value of C will make...Ch. 8 - For the circuit in Fig. 8.68, calculate the value...Ch. 8 - The switch in Fig. 8.69 moves from position A to...Ch. 8 - The responses of a series RLC circuit are...Ch. 8 - Find i(t) for t 0 in the circuit of Fig. 8.70....Ch. 8 - In the circuit of Fig. 8.71, the switch...Ch. 8 - Find the voltage across the capacitor as a...Ch. 8 - Obtain v(t) for t 0 in the circuit of Fig. 8.73....Ch. 8 - The switch in the circuit of Fig. 8.74 has been...Ch. 8 - Calculate v(t) for t 0 in the circuit of Fig....Ch. 8 - Assuming R = 2 k, design a parallel RLC circuit...Ch. 8 - For the network in Fig. 8.76, what value of C is...Ch. 8 - The switch in Fig. 8.77 moves from position A to...Ch. 8 - Using Fig. 8.78, design a problem to help other...Ch. 8 - The step response of an RLC circuit is given by...Ch. 8 - Prob. 27PCh. 8 - A series RLC circuit is described by...Ch. 8 - Solve the following differential equations subject...Ch. 8 - Prob. 30PCh. 8 - Consider the circuit in Fig. 8.79. Find vL(0+) and...Ch. 8 - For the circuit in Fig. 8.80, find v(t) for t 0.Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.81.Ch. 8 - Calculate i(t) for t 0 in the circuit of Fig....Ch. 8 - Using Fig. 8.83, design a problem to help other...Ch. 8 - Obtain v(t) and i(t) for t 0 in the circuit of...Ch. 8 - For the network in Fig. 8.85, solve for i(t) for t...Ch. 8 - Refer to the circuit in Fig. 8.86. Calculate i(t)...Ch. 8 - Determine v(t) for t 0 in the circuit of Fig....Ch. 8 - The switch in the circuit of Fig. 8.88 is moved...Ch. 8 - For the network in Fig. 8.89, find i(t) for t 0....Ch. 8 - Given the network in Fig. 8.90, find v(t) for t ...Ch. 8 - The switch in Fig. 8.91 is opened at t = 0 after...Ch. 8 - A series RLC circuit has the following parameters:...Ch. 8 - In the circuit of Fig. 8.92, find v(t) and i(t)...Ch. 8 - Prob. 46PCh. 8 - Find the output voltage vo(t) in the circuit of...Ch. 8 - Given the circuit in Fig. 8.95, find i(t) and v(t)...Ch. 8 - Determine i(t) for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Fig. 8.97, find i(t) for t 0....Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.98....Ch. 8 - The step response of a parallel RLC circuit is...Ch. 8 - After being open for a day, the switch in the...Ch. 8 - Using Fig. 8.100, design a problem to help other...Ch. 8 - For the circuit in Fig. 8.101, find v(t) for t 0....Ch. 8 - In the circuit of Fig. 8.102, find i(t) for t 0....Ch. 8 - Given the circuit shown in Fig. 8.103, determine...Ch. 8 - In the circuit of Fig. 8.104, the switch has been...Ch. 8 - The switch in Fig. 8.105 has been in position 1...Ch. 8 - Obtain i1 and i2 for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Prob. 8.5, find i and v for t ...Ch. 8 - Find the response vR(t) for t 0 in the circuit of...Ch. 8 - For the op amp circuit in Fig. 8.108, find the...Ch. 8 - Using Fig. 8.109, design a problem to help other...Ch. 8 - Determine the differential equation for the op amp...Ch. 8 - Obtain the differential equations for vo(t) in the...Ch. 8 - In the op amp circuit of Fig. 8.112, determine...Ch. 8 - For the step function vs = u(t), use PSpice or...Ch. 8 - Given the source-free circuit in Fig. 8.114, use...Ch. 8 - For the circuit in Fig. 8.115, use PSpice or...Ch. 8 - Obtain v(t) for 0 t 4 s in the circuit of Fig....Ch. 8 - The switch in Fig. 8.117 has been in position 1...Ch. 8 - Design a problem, to be solved using PSpice or...Ch. 8 - Draw the dual of the circuit shown in Fig. 8.118.Ch. 8 - Obtain the dual of the circuit in Fig. 8.119.Ch. 8 - Find the dual of the circuii in Fig. 8.120.Ch. 8 - Draw the dual of the circuit in Fig. 8.121.Ch. 8 - An automobile airbag igniter is modeled by the...Ch. 8 - A load is modeled as a 100-mH inductor in parallel...Ch. 8 - A mechanical system is modeled by a series RLC...Ch. 8 - An oscillogram can be adequately modeled by a...Ch. 8 - The circuit in Fig. 8.123 is the electrical analog...Ch. 8 - Figure 8.124 shows a typical tunnel-diode...
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
- For the circuit in the figure, identify the correct expression for when t> 0. Take Va= 50u(t) V. 60u(t) V 30 92 Multiple Choice 0.5 F 0.25 H HI- +v(t) - €20 $2 Va v (t) = (-26 (-0.0911e 47.83 -26.0911e-0.167t)) V v (t) = (-0.0911 + (-26e 47.83t+26.0911e-0.167t)) V v (t)= (-0.0911-(-26e-47.83t - 26.0911e-0.167t)) V v (t) = (-26+ (-0.0911e 47.83t+26.0911e-0.167t)) Varrow_forwardFind v(0) and dv(0)/dt for the following circuit. 2u(-t) A ... 0.04 F 1H + v 4Ω 2Ω (+ – 50u(t) V (0) = 50 V dv(0)/dt = 38 V/s (0) = -12 V B dv(0)/dt = 0 V/s (0) = -12 V dv(0)/dt = 38 V/s v(0) = 50 V dv(0)/dt = 0 V/s %3Darrow_forwardSOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT 6. Find i(t) for t>0 in the circuit shown below. 30 V + 1092 www t=0 40 52 60 92 ell i(t) 1 mF 2.5 Harrow_forward
- Find the current ir(t) for t > 0 if ig (0* ) = 0, dt di, (0" ) d'i, (0*). A = 64. The voltage 0, and dt? d’v d²v dv across inductor L¡ is dictated by ·+4- +5 + 2v=0. ir(t) is the current through resistor dt dr? dt R4. You do not need the values for the inductors and capacitor. L1 R2 R4 20 R1 V1 L2 R3 =6u(t) 20 С1arrow_forwardConsider the circuit below with v(t) = 150 sin(70t) mV for t> 0 and v(t) = 0 for t<0. C1= 100 uF, C2 = 300 uF, C3 = 400 uF, and C4 = 200 uF v(t) Fa C1 C2 C3 C4 Question 6: What is the expression for the current flowing through capacitor C2? (Be sure to enter an answer here and show your calculations in detail on your paarrow_forwardWhich of the following is an ordinary differential equation? A X Z +yz = 0 xy yx d²u d²u (B) + dx² dy ² OV 1 C + 5²5². ²8² 2²V dt 2 d5² d²0 D + dt 2 g =0 C ᎧᏙ +rS. --rV=0 as -sin = 0arrow_forward
- Ex.(3). Plot the root loci for the system has the following T.F: G(s)H(s) = K(s + 1) s(s - 1)(s² + 4s + 16) Solution: Solve the entire question from beginning to end with explanation Draw on graph paper Drawing is done manually and not using a computerarrow_forwardThe question is a multi part question: The capacitor in the circuit is set to 1 F and the inductor is 7.00 H. a) Determine Vc(t) at t = -1s b) Determine Vc(t) at t= 20 s Please answer in typing format please ASAP please all subpart is compulsory please ASAP for the likearrow_forwardThe current i(t) in an RC series circuits can be determined from the integral equation Ri(t) + i(t)dt = E(t) where E(t) is the impressed voltage. Determine and plot i (t) when R = 10 N, C = 0.5 F, and E = 2(t² + t).arrow_forward
- For a certain electrical circuit the applicable differential equation is 100(d2i/dt2) + 200(di/dt)+ (i/0.005) =0, with initial conditions i(0)=0 and i'(0)=1 determine the unique solution for the current i in terms of the time tarrow_forwardSOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT 7. In the circuit in the following figure the switch moves instantaneously from the position A to B at t = 0. Find V(t) for any t ≥ 0. 15 A 4Ω A B ww t=0 1092 0.25 H I 0.04 F + v (t) -arrow_forward* The equation of v(t) for the following circuit is V1 24V R1 M 292 W R2 50 C1 0.33μF R3 *42 16e(-t/3) O 18e(-t/3) O 24e(t/4) O 16e(t/4) Oarrow_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