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The sinusoidal signal x(t} = 3 cos(200t + 7/6) is passed through a square-law device defined by the input-output relation y{t) = x²(t) |3| Using the trigonometric identity cos²0 = }(cos 20 + 1) %3D show that the output y(t) consists of a dc com- ponent and a sinusoidal component. (a) Specify the dc component. (b) Specify the amplitude and fundamental fre- quency of the sinusoidal component in the output y(t).

The sinusoidal signal x(t} = 3 cos(200t + 7/6) is passed through a square-law device defined by the input-output relation y{t) = x²(t) |3| Using the trigonometric identity cos²0 = }(cos 20 + 1) %3D show that the output y(t) consists of a dc com- ponent and a sinusoidal component. (a) Specify the dc component. (b) Specify the amplitude and fundamental fre- quency of the sinusoidal component in the output y(t).

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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The sinusoidal signal x(t) = 3 cos(200t + 7/6) is passed through a square-law device defined by the input-output relation y{t) = x²(t) Using the trigonometric identity cos²0 = {(cos 20 + 1) %3D show that the output y(t) consists of a dc com- ponent and a sinusoidal component. (a) Specify the dc component. (b) Specify the amplitude and fundamental fre- quency of the sinusoidal component in the output y(t).
Transcribed Image Text:The sinusoidal signal x(t) = 3 cos(200t + 7/6) is passed through a square-law device defined by the input-output relation y{t) = x²(t) Using the trigonometric identity cos²0 = {(cos 20 + 1) %3D show that the output y(t) consists of a dc com- ponent and a sinusoidal component. (a) Specify the dc component. (b) Specify the amplitude and fundamental fre- quency of the sinusoidal component in the output y(t).
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