ECE 231 HW-10 Solution Set

# ECE 231 HW-10 Solution Set - ECE-231 Circuits and Systems I...

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ECE-231 Circuits and Systems I Spring 2011 HW Set #10 Professor Stewart Personick ECEC-321 [email protected]

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Instructions Send your solution set, via E-mail, to: [email protected] The “subject” of your E-mail must be : ECE 231 HW#10 (your last name) Your solution set must be in the form of an attachment. I.e. a Microsoft Office file (.doc, .docx, .xls, .xlsx, .ppt, .pptx) or a legible scan of a handwritten file. Your solution set must be sent to me by the deadline: Sunday, April 3, 8 p.m. Eastern time. [Drafts will be accepted for
Problem 1 + - Vs(t) =Vs e j120 π t Vs= 170 Volts a b i1(t) = Λ 1 x e j120 π t Amperes ; where Λ 1 = C e jD Vbc(t) = Γ x e j120 π t Volts; where Γ = E e jF Solve for the ordinary numbers: C, D, E, and F; in decimal notation, to 2 significant digits of accuracy. L = 0.265H j100 R=100 c C = 0.0000265F -j100 i1(t) i2(t )

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Λ 1 x [ j2 π x 60 radians/s x .0265H] + [ Λ 1 - Λ 2 ] x 100 = 170 V/A Λ 2 / [ j2 π x60 radians/s x .0000265F] + [ Λ 2 Λ 1 ] x 100 = 0 V/A Λ 1 x [ j100 + 100] - Λ 2 x 100 = 170 Λ 1 x [-100] + Λ 2 x [100 - j100 ] =0 Λ 1 x [ j +1] - Λ 2 = 1.7 - Λ 1 + Λ 2 [ 1 -j] =0
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