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Lectures 23+24

# 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 barb2right 0, Z barb2right j ω L – m barb2right 0, θ barb2right π /2 (90º) ω barb2right , Z barb2right -j/( ω C) – m barb2right 0, θ barb2right - π /2 (-90º) ω = (LC) –½ , Z= R – m barb2right R, θ barb2right 0 α ϖ ϖ ϖ ϖ ϖ 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
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 barb2right 0, Vout barb2right Vin – m barb2right 1, θ barb2right 0 ω barb2right , Vout barb2right Vin(-1/( ω 2 LC)) – m barb2right 0, θ barb2right - π (-180º) ω barb2right (LC) –½ , Vout barb2right Vin(-j/( ω RC)) – m barb2right (L/CR 2 ) ½ , θ barb2right - π /2(-90º) α ϖ ϖ ϖ ϖ ϖ ϖ 2 1 1 1 1 2 2 o L R

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

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