A laser printer uses a laser beam to print copy rap- idly for a computer. The laser is positioned by a control input r(t), so that we have Y(s) = 4(s+50) s² + 30s + 200 R(s). The input r(t) represents the desired position of the laser beam. (a) If r(t) is a unit step input, find the output y(t). (b) What is the final value of y(t)? Answer: (a) y(t) = 1+0.6e-20 -1.6e-10r, (b) yss = 1

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A laser printer uses a laser beam to print copy rap-
idly for a computer. The laser is positioned by a control
input r(t), so that we have
Y(s) =
4(s+50)
s² + 30s + 200
R(s).
The input r(t) represents the desired position of the
laser beam.
(a) If r(t) is a unit step input, find the output y(t).
(b) What is the final value of y(t)?
Answer: (a) y(t) = 1+0.6e-20 -1.6e-10t, (b) yss = 1
Transcribed Image Text:A laser printer uses a laser beam to print copy rap- idly for a computer. The laser is positioned by a control input r(t), so that we have Y(s) = 4(s+50) s² + 30s + 200 R(s). The input r(t) represents the desired position of the laser beam. (a) If r(t) is a unit step input, find the output y(t). (b) What is the final value of y(t)? Answer: (a) y(t) = 1+0.6e-20 -1.6e-10t, (b) yss = 1
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