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# Lecture 6 - Mid Session Test The test will be held during...

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Mid Session Test z The test will be held during the lecture of week 7 z This test contributes 10% of the final assessment It is a closed book test, no books, notebooks, notes, etc. allowed. Steady-State Sinusoidal Analysis - Ch. 4 Learning objectives of this lecture z Determine phasor form for AC voltage and current z Determine complex impedances z Analyse steady-state AC circuits using phasors and complex impedances Complex Numbers )] 120 sin( ) 120 [cos( 2 2 ) 120 ( 2 ) 240 sin 240 (cos 2 2 240 2 3 1 ) 120 sin 120 (cos 2 2 120 2 3 1 )] 60 sin( ) 60 [cos( 2 2 ) 60 ( 2 3 1 3 1 ] 60 sin 60 [cos 2 2 sin cos : identity s Euler' 2 60 2 3 1 120 240 120 60 60 60 o o j o o o j o o o j o o o j o o o j j j o j e j e j j e j j e j j j e j e e j o o o o o o + = = = + = = = + = = = + + = = = + = + = + = = = + θ 1 3 j 2 60 ο −60 ο Re Im Euler’s Identity and Complex Plane Im j - j - 11 Re 1 cos e j = cos + j sin j e e e j e e o o o o o j j j j j = = = = = 90 270 180 90 0 ; 1 1 Α.2 Introduction to complex algebra, pp1085 2 3 2 1 2 3 2 1 2 3 2 1 2 3 2 1 ) 60 ( 240 120 60 j e j e j e j e o o o o j j j j = = + = + =

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j j e e e e e e j j j e e e e e e j j j j j e e j j j j j o o o o o o o o o o o o o o o j j j j j j j o o j j j j j j j o o o o j j 2 ) 0 ( 2 2 2 4 8 4 8 ) 3 ( 10 ) 2 1 2 3 ( 20 ) 30 sin 30 (cos 20 20 20 ) )( 4 5 ( 4 5 ) 2 3 ( 3 2 1 ) 2 1 2 3 ( 4 ) 2 3 2 1 ( 2 )] 30 sin( ) 30 [cos( 4 ) 60 sin 60 (cos 2 4 2 6 4 ) 4 2 ( ) 3 1 ( ) 4 3 ( ) 2 1 ( 90 ) 30 ( 60 30 60 30 60 30 30 60 30 60 30 60 30 60 0 = + = = = = + = + = + = = = × × = × + + = + + = + + + = + + = + + + = + + + Complex Arithmetic Phasor Notation Any sinusoidal variable having the time-domain form v(t)=Acos( ω t+ θ )
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Lecture 6 - Mid Session Test The test will be held during...

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