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ECE 231 HW-9 Solution Set

# ECE 231 HW-9 Solution Set - ECE-231 Circuits and Systems I...

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ECE-231 Circuits and Systems I Spring 2011 HW Set #9 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#9 (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, March 27, 8 p.m. Eastern time. [Drafts will be accepted for
Problem 1 7e j π /3 = A + jB Calculate the values of the ordinary numbers: A and B A = 7cos ( π /3) = 3.5 B = 7sin ( π /3) = 6.06

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Problem 2 120 + j50 = C e jD Calculate the values of the ordinary numbers: C and D (where C is a positive number) C= [(120)2 + (50)2]1/2 = 130 D= Tan-1 (50/120) = 0.39 radians
Problem 3 (16 - j19) / (4 + j8) = C e jD Calculate the values of the ordinary numbers: C and D (where C is a positive number) 16 - j19 = E e jF ,where E = [(16)2 + (19)2]1/2 = 24.8, and F= -Tan-1 (19/16) = -0.87 radians 4 + j8 = G e jH ,where G = [(4)2 + (8)2]1/2 = 8.94, and F= Tan-1 (8/4) = 1.11 radians C e jD = [24.8/8.94] e j[-0.87-1.11] = 2.77 e -j1.98

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ECE 231 HW-9 Solution Set - ECE-231 Circuits and Systems I...

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