Example Find the magnitude and angle of the complex

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ME 431, Lecture 6 1 Example Find the magnitude and angle of the complex number of . j j j Z 2 ) 3 2 )( 1 (

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Example Find the magnitude and angle of the complex number of. Frequency response Bode plots for G (s) =1/(s + 2). - PowerPoint PPT Presentation

Transcript of Example Find the magnitude and angle of the complex

Page 1: Example Find the magnitude and angle of the complex

ME 431, Lecture 6

1

Example

Find the magnitude and angle of the complex

number of .

j

jjZ

2

)32)(1(

Page 2: Example Find the magnitude and angle of the complex

ME 431, Lecture 6

2

Frequency response Bode plots for G(s) =1/(s + 2)


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Complex Numbers Products • Z1 = 3 + 3 i, Z2 = 0 + 2i The product, Z1 Z2 = (3 + 3 i)(0 + 2i) = -6 + 6 i • The magnitude of the product is sqrt (72) = 6 sqrt(2) and the angle is

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