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ECE201_Lecture33

# ECE201_Lecture33 - ECE201 Linear Circuit Analysis I Lecture...

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- 1 - ECE201 Linear Circuit Analysis I Lecture 33 Topic: Sinusoidal Steady-State (SSS) Analysis (cont.) A Review: Determine θ where ρ θ = a + jb Case 1. a > 0 b > 0 I m { } Re{ } θ = tan 1 b a I m { } Re{ } θ Case 2. a > 0 b < 0 Case 3. a < 0 b > 0 I m { } Re{ } tan 1 b a θ = 180 ° − tan 1 b a Case 4. a < 0 b < 0 I m { } Re{ } θ ' θ tan 1 b a

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- 2 - Example 1. The following circuit is in steady state. Find v c (t). Strategy: first convert all voltages/currents to phasors, and R, C, L to Z or Y. • solve the circuit using phasors (i.e., complex number manipulations); • convert phasors (complex numbers) to real functions, if necessary. Step 1 Convert i s (t) to I s : I s = Z R = Z L = Z C = Step 2 Determine I L Step 3 Determine V C Step 4 Determine v c (t) i s (t) =cos(100t) R =10ž L=0.1H

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ECE201_Lecture33 - ECE201 Linear Circuit Analysis I Lecture...

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