EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
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Textbook Question
Chapter 15, Problem 47P
A system has the transfer function
- (a) Find the impulse response of the system.
- (b) Determine the output y(t), given that the input is x(t) = u(t).
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4. The input to a system with impulse response h(t) is x(t), both functions are given below.
Find the output of the system.
h(t) = 5e"u(t)+2e*u(t)
x(t)=u(t)
1. Consider a system with the following transfer function:
s+3
H(s) =
s² + 4s + 5
a) If the system is excited by a unit impulse as the input, find the final value of output response
y(t).
b) If the system is excited by a unit step as the input, find output response y(t).
B. We consider a system defined by its impulse response:
h(t) = 2u(t-2)
a) Find the output y(t) of the system for an input x(t) =eu(t-1) using the convolution integral
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
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- 1.) Given the input signal and impulse response, find the output signal by evaluating the convolution integral directly. DO NOT use any special formulas or identities. x(t) = u(t) h(t) = sinnt [u(t)-u(t-1)]arrow_forwardThe input x(t) and output y(t) of linear time invariant system are related by in photo a) Find and plot the impulse response h(t). b) Find and plot the step response s(t). y(t) = Le-(t-1)x(1 – 2)dr . %3Darrow_forwardI already have figured out how to find the differential equations with these three problems, I am having troubles with finding the Unit Response for each of the systems, mainly the partial fraction decompositions required for it.arrow_forward
- Given the following transfer function, what is the unit step response? y(0-)=0 a) y(t)=e¹ b) y(t)=(1-e¹)u, (1) c) _y(t)=e¹+(1-e¹²¹) 1 Y(s) U(s) s+1 d) Ran out of time or don't know how to do thisarrow_forwardFind the unit step response of the system where its transfer function is defined as (s+5)*20 G(s) = 10 (s²+12s+100)(s+1) Sketch the time response of this system roughly.arrow_forwardHelparrow_forward
- this is a question on signals and systems coursearrow_forwardQuestion from electric circuits.arrow_forwardThe input to a system with impulse response h(t) is x(t), both functions are given below. Find the output of the system. h (t) x (t) -T-- - 0 +1 +2 -1 0 +1 +3 time(ms) -1 time(ms) +2arrow_forward
- Transfer function of an LTI continuous time system is given in the following form s+ 3 H(s) = (s + 1)²(s² + 5s + 6) b) c) d) to express the input output relationship of this system. Obtain the impulse response of this system if it is a causal system. Obtain the impulse response of this system if it is a noncausal system. Obtain the impulse response of this system if it is an anticausal system. Sketch the pole-zero plot of the system for case (a) and give the differential equation that is usedarrow_forwardsignals and systemsarrow_forwardplease make sure its the transfer function (X(s))/(F(s))arrow_forward
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