The discussion focuses on deriving the Laplace transfer function for a parallel RC circuit involving an accelerometer, modeled as a Norton generator in parallel with a capacitor and a load resistor. The transfer function is established as T(s) = ΔvL(s) / ΔiP(s) = R / (1 + sRC), where R is the load resistance and C is the equivalent capacitance. The transient response of the voltage across the load is expressed as vL(t) = iPR(1 - e^(-t/CR)), and the time taken for the voltage to reach steady state is calculated as approximately 41.25 ms for a step change in current of 2 nA.
PREREQUISITESElectrical engineers, circuit designers, students studying control systems, and anyone involved in the analysis of dynamic systems using Laplace transforms.
acw260 said:Ip(s) / s = V(s)/R + sCV(s)
therefore
V(s) = Ip(s) / s(sC+1/R)