Answered: One period of a periodic function is…

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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Question

One period of a periodic function is described by the following
equations:

i(t) = 5t A, –2 ms≤t≤2 ms; i(t) = 10 mA, 2 ms≤t≤6 ms; i(t) = 0.04−5t A,
6 ms≤t≤10 ms; i(t) = −10 mA, 10 ms≤t≤14 ms.

Give the numerical expressions for av, ak, and bk.

Expert Solution

Step 1

given that the function repeat it self each 40 ms so frequency is:

$f = \frac{1}{T} = \frac{1000}{40} = 25 H z$

given that the function is not symmetric around the y axis so the given function is not even symmetry.
given that the function is symmetric around the x axis so the given function is odd symmetry.
given that the two halves of the function are equal in magnitude and have different signs so the given function has half wave symmetry.
given that each of the halves of the function is symmetric around its midpoint, so the given function has quarter wave symmetry.

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