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5.12 One period of a periodic function is described by the following equations: i(t) = -8t A, -5 ms sIs 5 ms; i(t) = -40 mA, 5 ms sIs 15 ms; i(t) = 8t - 0.16 A, 15 ms

5.12 One period of a periodic function is described by the following equations: i(t) = -8t A, -5 ms sIs 5 ms; i(t) = -40 mA, 5 ms sIs 15 ms; i(t) = 8t - 0.16 A, 15 ms

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
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16.20) Derive the Fourier series for the periodic function described in Problem 16.12, using the form of Eq. 16.20

16.12 One period of a periodic function is described by the following equations: i(t) = -8t A, -5 ms sts 5 ms; i(t) = -40 mA, 5 ms sIs 15 ms; i(t) = 81 - 0.16 A, 15 ms sIs 25 ms; i(t) = 40 mA, 25 ms sis 35 ms. a) What is the fundamental frequency in hertz? b) Is the function even? c) Is the function odd? d) Does the function have half-wave symmetry? e) Does the function have quarter-wave symmetry? f) Give the numerical expressions for a,, ag, and bg.
Transcribed Image Text:16.12 One period of a periodic function is described by the following equations: i(t) = -8t A, -5 ms sts 5 ms; i(t) = -40 mA, 5 ms sIs 15 ms; i(t) = 81 - 0.16 A, 15 ms sIs 25 ms; i(t) = 40 mA, 25 ms sis 35 ms. a) What is the fundamental frequency in hertz? b) Is the function even? c) Is the function odd? d) Does the function have half-wave symmetry? e) Does the function have quarter-wave symmetry? f) Give the numerical expressions for a,, ag, and bg.
f(1) cos kant dt f(x) cos (-konx)(-dx) T/2 T/2 f(x) cos konx dx. (16.20)
Transcribed Image Text:f(1) cos kant dt f(x) cos (-konx)(-dx) T/2 T/2 f(x) cos konx dx. (16.20)
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