Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 4RQ
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Choose the correct option to find the zero of the function
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The switch in the circuit has been closed for a long time before opening at t=0. 1. a) Construct the s-domain equivalent circuit for t>0. 2. b) Find Io. 3. c) Find io for t≥0.
For the figure given, the output current i(t) at t<0 is equal to zero amperes. What is the output current i(t) using Laplace at the time interval 0 < t < 5?
Please be detailed as much as you can. I am really struggling with this problem and I am stuck not knowing what to do after you move the values into the s-domain.
Chapter 15 Solutions
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
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- Suppose an LTI system has impulse response h(t)=u(t+1)−u(t−1),and input x(t)=t[u(t−1)−u(t−6)]. Use graphical convolution method to determine the zero-state response. Do not use Laplace transformarrow_forward1. Look at the first-order differential equation and answer. y(n)-0.2y(n-1)=x(n), y(-1)=-1 (1) Find out the Impulse response. (2) Find out the general solution when x(n)=r(n)arrow_forwardFind the poles and zeros of the following functions. Mark the finite poles with × and the finite zeros with 0 in the s-plane. G(s) = 10(s+2)/s*(s^2+2s+2)arrow_forward
- The circuit shown below has been in that situation for a long time. At t=0, part of the circuit is cut down from the dashed line. Determine vC1(t) for t > 0.arrow_forwardSketch the root-locus diagram for the closed-loop poles of the system with the characteristic polynomial s^3 +(2+K)s^2+(5-2K)s+4-3K=0 as K varies from 0 to infinity. Please answer with explanation. I will really upvote. Please don't copy. Thanksarrow_forwardwhat is the laplace transform for s=4arrow_forward
- A causal linear time-invariant continuous-time system has impulse response h(t) = e-t +sin(t) , t >= 0 Compute the output response for all t>=0 when the input is the unit-step function u(t).arrow_forwardRoot Locus Question Utilizing root locus techniques (by hand) prove that for the transfer function K*G(s) where G(s) = 1/(s^2+s+10) there is no value for K that will allow for less than 16% overshoot. Sketch the region of allowance on the root locus which would give less than 16% overshoot as added proof to the statement 5arrow_forwardKnow how to analyze a circuit in the s domain and be ableto transform an s-domain solution to the time domain Express i2 as a function of di1/dt when i2 is at its peak value.arrow_forward
- The determination of the initial values x(0) and dx(0)/dt are crucial to analyzing second-order circuits. Why? Where do we use them?arrow_forwardSolve problem BY FIRST CONVERTING THE CIRCUITS TO THE S-DOMAIN. Thank youarrow_forwardThe switch was open for a long time but closed at t=0 Determine: (a) i(0 ), v(0 ), (b) di(0 ) dt, dv(0 ) dt, (c) i(infinity ), v(infinity).Apply Laplace transform to the given RLC circuit to solve differential equations with initial conditions. Please in typing formatarrow_forward
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