3-Lesson_Notes_Lecture_22 - EE 204 Lecture 22 The Phasor...

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EE 204 Lecture 22 The Phasor Diagram – More Sinusoidal Circuit Analysis The Phasor Diagram: The phasor diagram is a graphical representation (in the complex plane) of voltage and current phasors The phasor diagram for 0.5 30 o IA = & 24 5 o VV =− is shown From the phasor diagram we can easily compare: 1) the magnitude (the magnitude of I is four time smaller than the magnitude of V ) 2) the phase ( I leads V by 75 o ) of the current and voltage phasors 0.5 30 = o 5 o Figure 1 Example 1: The circuit shown is already in phasor representation. a) Calculate I b) Calculate c V c) Draw the phasor diagram showing s V & c V & I
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2 j3 -j7 10 20 o S V = [V] + C V I j2 -j5 Figure 2 Solution: a) 2 j & 5 j −Ω in series 1 25 3 Z jj j = −= 1 10 20 10 20 3.333110 33 9 0 oo o s o V IA Zj == = = −− b) VDR (Voltage Divider Rule) 77 7 (1020 ) (7 )( 3 )2 3 2 4 cs j VV j = × −+ + + 79 0 (10 20 ) 15.653 6.565 4.472 63.435 o c o = 2 j3 -j7 10 20 o S V = [V] I 1 3 = + S V + C V Figure 3 c) s V & c V & I are shown in the phasor diagram
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Im Re 20 o -6.6 o 15.65 6.57 =− o C V 110 o 3.33110 = o I 10 20 o S V = Figure 4 In the previous and the present lecture we solved sinusoidal circuit examples using: Kirchhoff’s Voltage Law (KVL) Kirchhoff’s Current Law (KCL) Current Divider Role (CDR) Voltage Divider Role (VDR)
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3-Lesson_Notes_Lecture_22 - EE 204 Lecture 22 The Phasor...

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