How to Derive the Laplace Transfer Function for a Parallel RC Circuit?

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The discussion centers on deriving the Laplace transfer function for a parallel RC circuit involving an accelerometer connected to an amplifier. Participants clarify the circuit's configuration, which includes a Norton generator, a capacitor representing the piezoelectric crystal, and a load resistor. The transfer function is expressed as ΔvL(s) / ΔiP(s) = R / (1 + sRC), with discussions on the time-domain response and the impact of a step change in current on the voltage across the load. The time constant for reaching steady state is confirmed to be independent of the step current magnitude, focusing instead on the circuit's inherent properties. Overall, the conversation emphasizes the importance of understanding circuit behavior in both Laplace and time domains.
  • #31
Much better.
 
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  • #32
Hello,

I am struggling to see how this was achieved...

acw260 said:
Ip(s) / s = V(s)/R + sCV(s)
therefore
V(s) = Ip(s) / s(sC+1/R)

Could someone point me in the right direction please?

Thanks
 

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