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ECE201_34_Jung

# ECE201_34_Jung - ECE 201 Lecture 34 Sinusoidal Steady...

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ECE 201 Lecture 34 Sinusoidal Steady State (SSS) Analysis Phasor A useful Formula

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Another Useful formula
V-I Relation of Resistors Ohm’s law Ohms’ Law for Resistors

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V-I Relation of Inductors V-I relation Ohms’ Law for Inductors Phase of vL is π /2 ahead of iL
0 0.5 1 1.5 2 2.5 3 3.5 4 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 Phase of vL is π /2 ahead of iL 2 π 2 π

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V-I Relation of Capacitors V-I relation Ohms’ Law for Inductors Phase of iC is π /2 ahead of vC
0 0.5 1 1.5 2 2.5 3 3.5 4 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 Phase of iC is π /2 ahead of vC 2 π

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0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 1.5 1.0 0.2 π Zeq=Vin/Iin=(1.5/1.0) 0.2 π Vin=1.5 -0.3 π [ = 1.5exp( t -0.3 π29] Iin=1.0 -0.5 π [ = 1.0exp( t -0.5 π29]
0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 Dashed line: vin Solid line: iin resistive capacitive inductive v=L(di/dt) i=C(dv/dt) v=iR

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Example Assume the circuit is operating in sinusoidal steady state with angular frequency ϖ For what ϖ do vin and iin have the same phase?
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ECE201_34_Jung - ECE 201 Lecture 34 Sinusoidal Steady...

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