Hi everyone, I've been given a problem and I can't seem to prove it. The picture shows a filter, ( i think its a low pass filter) [pic attached]
Here's what i got so far.
I've got Vr=iR
Vc= Vin(1e^t/RC)
Vin=Vr+Vc
= iR + Vin(1e^t/RC)
= iR + sinwt(1e^t/RC)
since Vr=Vout, and Vin = sinwt
sinwt = Vout + sinwt(1e^t/RC)
Vout= sinwt  sinwt(1e^t/RC)
am i suppose to laplace this?
If yes,
and when i laplace Vin=Vr+Vc as stated in the hint , i got L{vin} = iR/s + w/(s^2 + w^2) + w/ [ (s+1/RC)^2 +w^2 ]
how am i supposed to continue and relate to proving Vout?
tell me what to do step by step as im still a beginner and thanks for your replies! I appreciate it
Here's what i got so far.
I've got Vr=iR
Vc= Vin(1e^t/RC)
Vin=Vr+Vc
= iR + Vin(1e^t/RC)
= iR + sinwt(1e^t/RC)
since Vr=Vout, and Vin = sinwt
sinwt = Vout + sinwt(1e^t/RC)
Vout= sinwt  sinwt(1e^t/RC)
am i suppose to laplace this?
If yes,
and when i laplace Vin=Vr+Vc as stated in the hint , i got L{vin} = iR/s + w/(s^2 + w^2) + w/ [ (s+1/RC)^2 +w^2 ]
how am i supposed to continue and relate to proving Vout?
tell me what to do step by step as im still a beginner and thanks for your replies! I appreciate it
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