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Euler's & related formulae: e¹=cos(A)+jsin(A), cos(B)=0.5(e¹³+e³³), sin(C)=0.5(e-e³¹)/j Signals representing two phases of regular electric power signals in the USA are given as follows: S₁ (t) = 120√2cos (2760t), and s₂ (t) = 120√2cos (2760t + 2π/3) (a) Express s(t) = S₁ (t) + S₂ (t) in form Acos (wot + 0). You do not need to find exact numerical values for A and 0. Just express them in terms of existing quantities that are found within si and S2. (b) Signal si(t) is input to a squaring device, followed by a DC removal circuit, then scaled by a factor 1/120. Find the system output y(t) and sketch its spectrum. (Hint: use Euler's equation! And, note that any complex number can be expressed as ae, with a a positive real number and a real number.) s, (t) (-)² s₁,²(t) DC Removal v(t) y(t) 1/120

Euler's & related formulae: e¹=cos(A)+jsin(A), cos(B)=0.5(e¹³+e³³), sin(C)=0.5(e-e³¹)/j Signals representing two phases of regular electric power signals in the USA are given as follows: S₁ (t) = 120√2cos (2760t), and s₂ (t) = 120√2cos (2760t + 2π/3) (a) Express s(t) = S₁ (t) + S₂ (t) in form Acos (wot + 0). You do not need to find exact numerical values for A and 0. Just express them in terms of existing quantities that are found within si and S2. (b) Signal si(t) is input to a squaring device, followed by a DC removal circuit, then scaled by a factor 1/120. Find the system output y(t) and sketch its spectrum. (Hint: use Euler's equation! And, note that any complex number can be expressed as ae, with a a positive real number and a real number.) s, (t) (-)² s₁,²(t) DC Removal v(t) y(t) 1/120

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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Euler's & related formulae: e4=cos(A) +jsin(A), cos(B)=0.5(e³+eB) ³), sin(C)=0.5(e¹-e¹C)/j Signals representing two phases of regular electric power signals in the USA are given as follows: S₁ (t) = 120√2cos (2760t), and s₂(t) = 120√2cos (2760t + 2π/3) (a) Express s(t) = S₁ (t) + S₂ (t) in form Acos (wot + 0). You do not need to find exact numerical values for A and 0. Just express them in terms of existing quantities that are found within si and $2. (b) Signal si(t) is input to a squaring device, followed by a DC removal circuit, then scaled by a factor 1/120. Find the system output y(t) and sketch its spectrum. (Hint: use Euler's equation! And, note that any complex number can be expressed as ae, with a a positive real number and a real number.) s, (t) (.)² s₁²(t) DC Removal v(t) y(t) 1/120
Transcribed Image Text:Euler's & related formulae: e4=cos(A) +jsin(A), cos(B)=0.5(e³+eB) ³), sin(C)=0.5(e¹-e¹C)/j Signals representing two phases of regular electric power signals in the USA are given as follows: S₁ (t) = 120√2cos (2760t), and s₂(t) = 120√2cos (2760t + 2π/3) (a) Express s(t) = S₁ (t) + S₂ (t) in form Acos (wot + 0). You do not need to find exact numerical values for A and 0. Just express them in terms of existing quantities that are found within si and $2. (b) Signal si(t) is input to a squaring device, followed by a DC removal circuit, then scaled by a factor 1/120. Find the system output y(t) and sketch its spectrum. (Hint: use Euler's equation! And, note that any complex number can be expressed as ae, with a a positive real number and a real number.) s, (t) (.)² s₁²(t) DC Removal v(t) y(t) 1/120
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