EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 15, Problem 19P
To determine
Calculate the Laplace transform of the function
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2.52. The step response s(t) of a continuous-time LTI system is given by
s(1) = [cos wol ]u(1)
Find the impulse response h(t) of the system.
Ans. h(t)=8(1) - wo[sin w₁t]u(t)
2.48. Show that if y(t) = x(t)* h(t), then
y' (t) = x' (1) * h(t) = x(t) * h'(t)
Hint: Differentiate Eqs. (2.6) and (2.10) with respect to t.
2.49.
Show that
x(1) * 8'(t) = x(t)
Hint: Use the result from Prob. 2.48 and Eq. (2.58).
2.47. Compute the convolution sum y[n] = x[n]+h[n] of the following pairs of sequences:
(a) x[n] = u[n], h[n] = 2"u[n]
(b) x[n]=u[n]-u[n-N], h[n]=a"u[n], 0 < a <1
(c) x[n]=()"u[n], h[n] = 8[n] - 8[n-1]
Chapter 15 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
Ch. 15.2 - Prob. 1PPCh. 15.2 - Prob. 2PPCh. 15.3 - Prob. 3PPCh. 15.3 - Prob. 4PPCh. 15.3 - Prob. 5PPCh. 15.3 - Prob. 6PPCh. 15.3 - Obtain the initial and the final values of...Ch. 15.4 - Prob. 8PPCh. 15.4 - Find f(t) if F(s)=48(s+2)(s+1)(s+3)(s+4)Ch. 15.4 - Obtain g(t) if G(s)=s3+2s+6s(s+1)2(s+3)
Ch. 15.4 - Find g(t) given that G(s)=20(s+1)(s2+4s+13)Ch. 15.5 - Graphically convolve the two functions in Fig....Ch. 15.5 - Given g(t) and f(t) in Fig. 15.20, graphically...Ch. 15.5 - Use convolution to find vo(t) in the circuit of...Ch. 15.6 - Prob. 15PPCh. 15.6 - Prob. 16PPCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - If F(s) = 1/(s + 2), then f(t) is (a) e2t u(t) (b)...Ch. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Find F(s) if: (a) ft=6etcosh2t (b) ft=3te2tsinh4t...Ch. 15 - If g(t) = 4e 2t cos 4t, find G(s).Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Design a problem to help other students better...Ch. 15 - Let F(s)=18(s+1)(s+2)(s+3) (a) Use the initial and...Ch. 15 - Determine the initial and final values of f(t), if...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Find f(t) for each F(s): (a) 10ss+1s+2s+3 (b)...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Obtain f(t) for the following transforms: (a)...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Determine f(t) if: (a)...Ch. 15 - Show that...Ch. 15 - Prob. 41PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Given h(t) = 4e2tu(t) and x(t) = (t) 2e 2tu(t),...Ch. 15 - Given the following functions...Ch. 15 - A system has the transfer function...Ch. 15 - Find f(t) using convolution given that: (a)...Ch. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Given that v(0) = 5 and dv(0)/dt = 10, solve...Ch. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 55PCh. 15 - Solve for v(t) in the integrodifferential equation...Ch. 15 - Prob. 57PCh. 15 - Given that dvdt+2v+50tv()d=4u(t) with v(0) = 1,...Ch. 15 - Solve the integrodifferential equation...Ch. 15 - Prob. 60P
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
- 2.55. Consider a discrete-time LTI system with impulse response h[n] given by Is this system memoryless? Ans. No, the system has memory. h[n] = [n-1]arrow_forward"4. The load impedance connected to the secondary winding of the ideal transformer in the following circuit consists of a resistance of 237.5m2 in series with an inductor of 125µH. If the sinusoidal voltage source v, is generating the voltage 2500 cos(400t) V, calculate the steady-state equations for: (a) 21. (b) v1. (c) i₂, and (d) v2." 08 0,255 mH 237,5 m2 10:1 01 - Ideal 02 125 pharrow_forward2.55. Consider a discrete-time LTI system with impulse response h[n] given by h[n]=8[n-1] Is this system memoryless? Ans. No, the system has memory.arrow_forward
- "1. Formulate the matrix system to find the voltages and currents of the transformer in the following circuit. Hint: Use KVL (Kirchhoff's Voltage Law) in each winding of the transformer and use the voltage and current relationships." RT www pNp Ns Rc Vp idealarrow_forward2.62. Write the input-output equation for the system shown in Fig. 2-34. Ans. 2y[n]-y[n-1] = 4x[n] + 2x[n-1] x[n] Unit delay Fig. 2-34 y[n] Σ + +arrow_forward(ii) Register B hold the data byte 28H and accumulator hold 97H. Show the contents of the registers B, C and accumulator after the execution of the following instructions. MOV A, B MOV C, Aarrow_forward
- 2.53. The system shown in Fig. 2-31 is formed by connection two systems in parallel. The impulse responses of the systems are given by h₁(t)=eu(1) and h₂(1) = 2e'u(1) (a) Find the impulse response h(t) of the overall system. (b) Is the overall system stable? Ans. (a) h(t) = (e-21 + 2e')u(t) (b) Yes x(t) h₁(1) + h₂(1) Fig. 2-31 + y(t) Σarrow_forward2.54. Consider an integrator whose input x(t) and output y(t) are related by y(t) = '_x(T) dT (a) Find the impulse response h(t) of the integrator. (b) Is the integrator stable? Ans. (a) h(t) = u(t) (b) Noarrow_forward2.61. Is the system described by the differential equation linear? Ans. No, it is nonlinear. dy(t) +5y(1)+2=x(1) dtarrow_forward
- 2.64. Consider a discrete-time system whose input x[n] and output y[n] are related by y[n] y[n-1] = x[n] with y[-1] = 0. Find the output y[n] for the following inputs: (a) x[n]=()u[n]; (b) x[n]=()u[n] Ans. (a) y[n] = 6[()*+' - (¹)" + ¹]u[n] (b) y[n] = (n+1X)"u[n]arrow_forwardQ5. Write a program in assembly language using instructions of SAP-III computers to complement the 256 bytes stored in memory locations 2500 H through 25FF H. Store the complemented data in memory locations starting at 2600 H.arrow_forwardmeinory (b). Write an assembly language program in 8085 microprocessors to exchange conte HL register pair with DE register pair using PUSH and POP instructions. 3 | Pagearrow_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:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering 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,