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(e) Full-wave rectifier. Show that the Laplace trans- form of the full-wave rectification of sin ast is coth 2a mlw Fig. 137. Half-wave rectification mlw 2mlw 3mko Fig. 138. Full-wave rectification

(e) Full-wave rectifier. Show that the Laplace trans- form of the full-wave rectification of sin ast is coth 2a mlw Fig. 137. Half-wave rectification mlw 2mlw 3mko Fig. 138. Full-wave rectification

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(c) Full-wave rectifier. Show that the Laplace trans- form of the full-wave rectification of sin vt is (in the image shown)

(only solve part c!!)

Set = (n - Ip in the nth integral. Take out en-)p from under the inte gral sign. Use the sum formula for the geometric series. (b) Half-wave recetifier. Using (11), show that the half-wave rectification of sin of in Fig. 137 has the Laplace transform (A half-wave rectifier clips the negative portions of the curve. A fell-wave ecnfier convents them to positive; see Fig. 138.) (e) Full-wave rectifier. Show that the Laplace trans- form of the full-wave rectification of sin ast is coth mlw Fig. 137. Half-wave rectification 1 mlw 2mlw Fig. 138. Full-wave rectification (d) Saw-tooth wave. Find the Laplace transform of the saw-tooth wave in Fig. 139. P 2p 3p Fig. 139. Saw-tooth wave
Transcribed Image Text:Set = (n - Ip in the nth integral. Take out en-)p from under the inte gral sign. Use the sum formula for the geometric series. (b) Half-wave recetifier. Using (11), show that the half-wave rectification of sin of in Fig. 137 has the Laplace transform (A half-wave rectifier clips the negative portions of the curve. A fell-wave ecnfier convents them to positive; see Fig. 138.) (e) Full-wave rectifier. Show that the Laplace trans- form of the full-wave rectification of sin ast is coth mlw Fig. 137. Half-wave rectification 1 mlw 2mlw Fig. 138. Full-wave rectification (d) Saw-tooth wave. Find the Laplace transform of the saw-tooth wave in Fig. 139. P 2p 3p Fig. 139. Saw-tooth wave
14. TEAM PROJECT. Laplace Transform of Periodic Functions (a) Theorem. The Laptace vansform of a piecewise continuous function fU) with peried p is (11) f1) dr (s >0). -pa Prove this theore m. Hine: Write fo = + +
Transcribed Image Text:14. TEAM PROJECT. Laplace Transform of Periodic Functions (a) Theorem. The Laptace vansform of a piecewise continuous function fU) with peried p is (11) f1) dr (s >0). -pa Prove this theore m. Hine: Write fo = + +
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