Find the output voltage when the input voltage
Answer to Problem 59P
The output voltage when the input voltage
Explanation of Solution
Given data:
Formula used:
Consider the general expression for transfer function.
Here,
Calculation:
Apply Fourier transform on both sides of equation (1) as follows.
Apply Fourier transform on both sides of equation (2) as follows.
Substitute
Consider
Apply Fourier transform on both sides of equation as follows.
Rearrange equation (3) as follows.
Substitute
Consider
Substitute
Consider
Here,
Take partial fraction for
Where,
Substitute
Similarly,
Substitute
Substitute
Take partial fraction for
Where,
Substitute
Similarly,
Substitute
Substitute
Substitute
Substitute
Apply inverse Fourier transform on both sides of equation.
Conclusion:
Thus, the output voltage when the input voltage
Want to see more full solutions like this?
Chapter 18 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
- Determine the values of P and E. for each of the following signals: (b) x2(t) = ej(21+ 7/4) (a) x1(1) = e-21 u(t) (c) x3(t) = cos(t) %3Darrow_forwardAn exponential signal, x(t)=7e^-3t is sampled at frequency 25 HZ, beginning at time t =0 express the sampled sequence, x[n], up to the fourth termarrow_forwardQ4) Find the output y(t) for the figure shown below cos wt sin(w. + wm)t 2 2arrow_forward
- Required information Consider the CTFT pair. u (t – 10) – u (t + 10) → A sinc (b@) The numerical values of the literal constants are A = |and b=arrow_forwarda the following circuit find i,o 1-0 t= る(t) 1н =0 ЗАarrow_forwardAn FIR system (LTI) has the unit sample response shown below. 4 -3 -2 -1 0 1 2 3 4 5 6 7 n What would the output sequence be if the input was x[n] = 26[n]- d[n−2] ?arrow_forward
- B. Perform the circular convolution of the following two sequences: x₁ [n] = {1 2 3 4} x₂ [n] = {1 1 0 0}. andarrow_forwardclear (c) g(t) = 2x(t – 3) 8. Let x(t) = e'u(-t) and h(t) = rect (¹). Determine y(t) = h(t) *r(t) graphically. Write the expression of the output signal. -- -- Q SA o F W ENGarrow_forwardSOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT 18. For the network in the following figure, determine i(t) for t>0. 6Ω t=0 30 V 692 ww 10 V 692 i(t) Farrow_forward
- у () m(t) T1 T2 + (1): T4 T3 xpress the output signal as a function of the +arrow_forwardProblem 2 Analyze and draw the output iz(t) of the following circuit for all t> 0 for the given pulse input. Assume iL (0) = 0. V(t) Vo 0 www R₁ V(t) L i(t) R₂arrow_forwardB) 0 Which of the following is not true? Increasing system gain increases stability poles farther to the left of imaginary axis improve speed steady-state errors are important in the study of unstable systems multiple poles on the imaginary axis improves system stability Consider a mechanical translational system having mass M=2kg, damping coefficient B=24Nt per meter per second, and spring constant, K=18Nt per meter. The damping ratio is 2 0 0.5arrow_forward
- 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,