ECE201_Lecture34

# ECE201_Lecture34 - (1 with a voltage source(2 with a...

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1 ECE201 Linear Circuit Analysis I Lecture 34 Topic: Sinusoidal steady-state (SSS) analysis (cont.) -- Phasor Diagrams Definition Phasor diagrams are graphical depictions/interpretations of phasor voltages and phasor currents in a circuit. 1. Complex numbers and their vector representation (1) Z = 4 + 2 j = 20 tan 1 1 2 ** Any vectors that are parallel to the one drawn from the origin can be used to represent Z. (2) Vector addition e.g. Z 1 = 4 + j2 and Z 2 = – 2 – 2j then Z = Z 1 + Z 2 = I m {Z} 2 1 0 1 2 3 4 Re{Z} I m {Z} 2 1 1 2 3 4 Re{Z} -2 -1 -1 -2 Z 2

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2 (3) Vector subtraction Z 1 = 3 + j2 Z 2 = 1 + j2 then Z = Z 1 – Z 2 = I m {Z} 2 1 1 2 3 4 Re{Z} -2 -1 -1 -2 Z 2 Z 1 I m {Z} 2 1 1 2 3 4 Re{Z} Z 2 Z 1
3 2. Phasor diagram analysis of capacitor

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Unformatted text preview: (1) with a voltage source (2) with a current source 4 (3) Phasor diagram analysis of series RC circuit as R varies from 0 to ∞ . 5 3. Phasor diagram analysis of inductor (1) Simple inductor circuit (2) Phasor diagram analysis of parallel RL circuit, as R varies from 0 to ∞ . 6 4. Phasor diagram analysis of parallel RLC circuit. Step 1. Arbitrarily set V C as a reference and draw I C = j ω CV C . Step 2. Draw I L and I R 7 Step 3. Draw I s and evaluate for R ∈ 0, ∞ ( ) 8 5. An Example Find the magnitude and angle of V as R varies from 0 to ∞ ....
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ECE201_Lecture34 - (1 with a voltage source(2 with a...

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