Lectures 23+24 - Lectures 23 and 24 Sinusoids into RLC...

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Lectures 23 and 24 Sinusoids into RLC circuits When Sinusoids turn on.
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RLC under sinusoidal drive • As before, I(t)=Acos( ω t+ φ ) • To find V, we convert to complex, and find Z: • Look at 3 cases: ω b 0, Z b j ω L – m b 0, θ b π /2 (90º) ω b , Z b -j/( ω C) – m b 0, θ b - π /2 (-90º) ω = (LC) –½ , Z= R – m b R, θ b 0 α ϖ 2 1 1 || 1 || 2 2 o RC j LC C j L j C j R Z - + = = L C R I(t) real imag ω = ω o /3 ω = ω o ω =3 ω o V time Responses for different values of ω o
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Another one • As before, Vin(t)=Acos( ω t+ φ ) • To find Vout, we convert to complex, do voltage division: • Look at 3 cases: ω b 0, Vout b Vin – m b 1, θ b 0 ω b , Vout b Vin(-1/( ω 2 LC)) – m b 0, θ b - π (-180º) ω b (LC) –½ , Vout b Vin(-j/( ω RC)) – m b (L/CR 2 ) ½ , θ b - π /2(-90º) α ϖ 2 1 1 1 1 2 2 o L R j LC LC L j R C j C j Vin Vout - + = + + = L R C Vin(t) real imag V out time Responses for different values of ω o (A=1) Vout ω
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This note was uploaded on 11/21/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell University (Engineering School).

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Lectures 23+24 - Lectures 23 and 24 Sinusoids into RLC...

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