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Exam_2 - ECE 280 Exam 2 NAME You may NOT use a calculator...

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ECE 280 Exam 2 NAME : ________________________________________________________________ You may NOT use a calculator of any type. Answer all questions clearly. Show all work for credit . 1. , 1 1 z j = + 2 2 5 j z e π = . Evaluate (a) 1 2 z z (b) * 1 * 2 z z 2. If 3 6 j z e π = , evaluate jz e . (a) Express z in rectangular form. (b) Calculate the magnitude of jz e . 3. (a) Calculate the four complex 4 th roots of unity ( ) 1 4 1 . (b) Plot all roots on the complex plane. (c) Express all 4 roots in polar and rectangular forms. 4. (a) Solve the polynomial equation
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