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problem_lab03_sol_s08

# problem_lab03_sol_s08 - ECE220 Problem Lab#3 Getting...

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ECE220 Problem Lab #3 Getting Practice complex numbers and functions Date: Week of February 5, 2007 I. Basic concepts in complex numbers 1. 2+j2 Magnitude: 8284 . 2 2 2 2 2 2 2 2 2 = = + = + j Phase: 785 . 0 4 / 2 2 = = + p j Q1 - Show Coordinates 2. p ) 4 / 3 ( 2 2 2 2 j e j - = + -

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Q2 - Find Coordinates 3. Q3 - Correct Guess 4. Q4 - Imaginary part incorrect by -1. 5.
Q5 - Real part incorrect by +1 6. Q6 - Magnitude part incorrect by +1 Q7 - Phase incorrect by - π II. Basic operations with complex numbers 1. Problem 4.14 7321 . 1 1 ) 2 3 2 1 ( 2 )) 3 sin( ) 3 (cos( 2 2 3 / 1 j j j e Z j + = + = + = = p p p 1213 . 2 1213 . 2 ) 2 1 2 1 ( 3 )) 4 sin( ) 4 (cos( 3 3 4 / 2 j j j e Z j + = + = + = = p p p

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89 . 0 1213 . 3 8534 . 3 arctan 2 2 2 1 3 9589 . 4 8534 . 3 1213 . 3 8534 . 3 1213 . 3 ) 1213 . 2 1213 . 2 ( ) 7321 . 1 1 ( . 1 j j e e j j j z z z - = + = + = + + + = + = 8075 . 2 1213 . 1 3893 . 0 arctan 2 2 2 1 4 1870 . 1 ) 3893 . 0 ( ) 1213 . 1 ( 3893 . 0 1213 . 1 ) 1213 . 2 1213 . 2 ( ) 7321 . 1 1
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problem_lab03_sol_s08 - ECE220 Problem Lab#3 Getting...

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