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12.3 Express each of the waveforms in Fig. P12.3 (on page 667) in terms of step functions and then determine its Laplace transform. [Recall that the ramp function is related to the step function by r(t − T) = (t − T) u(t − T).] Assume that all waveforms are zero for t<0. - - - fi(t) 4 2 0 ₤3(1) 4 2 0 10 f5(t) 0 t(s) 2 (a) 3 4 (c) t(s) f2(t) 2. 0 -2+ f4(t) 4 f6(t) 10- t(s) 1 2 3 4 2 (b) t(s) 6 7 (d) 2 t(s) 0 t(s) 2 4 6 8 -10+ (e) -10+ Figure P12.3 Waveforms for Problem 12.3. (f)

12.3 Express each of the waveforms in Fig. P12.3 (on page 667) in terms of step functions and then determine its Laplace transform. [Recall that the ramp function is related to the step function by r(t − T) = (t − T) u(t − T).] Assume that all waveforms are zero for t<0. - - - fi(t) 4 2 0 ₤3(1) 4 2 0 10 f5(t) 0 t(s) 2 (a) 3 4 (c) t(s) f2(t) 2. 0 -2+ f4(t) 4 f6(t) 10- t(s) 1 2 3 4 2 (b) t(s) 6 7 (d) 2 t(s) 0 t(s) 2 4 6 8 -10+ (e) -10+ Figure P12.3 Waveforms for Problem 12.3. (f)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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12.3 Express each of the waveforms in Fig. P12.3 (on page 667) in terms of step functions and then determine its Laplace transform. [Recall that the ramp function is related to the step function by r(t − T) = (t − T) u(t − T).] Assume that all waveforms are zero for t<0. - - -
Transcribed Image Text:12.3 Express each of the waveforms in Fig. P12.3 (on page 667) in terms of step functions and then determine its Laplace transform. [Recall that the ramp function is related to the step function by r(t − T) = (t − T) u(t − T).] Assume that all waveforms are zero for t<0. - - -
fi(t) 4 2 0 ₤3(1) 4 2 0 10 f5(t) 0 t(s) 2 (a) 3 4 (c) t(s) f2(t) 2. 0 -2+ f4(t) 4 f6(t) 10- t(s) 1 2 3 4 2 (b) t(s) 6 7 (d) 2 t(s) 0 t(s) 2 4 6 8 -10+ (e) -10+ Figure P12.3 Waveforms for Problem 12.3. (f)
Transcribed Image Text:fi(t) 4 2 0 ₤3(1) 4 2 0 10 f5(t) 0 t(s) 2 (a) 3 4 (c) t(s) f2(t) 2. 0 -2+ f4(t) 4 f6(t) 10- t(s) 1 2 3 4 2 (b) t(s) 6 7 (d) 2 t(s) 0 t(s) 2 4 6 8 -10+ (e) -10+ Figure P12.3 Waveforms for Problem 12.3. (f)
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