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Laplace transform for one circuit



Dear Experts

please see the below circuit, if the value of C' is constant,

I can get the Laplace transform Uo(s) / Ui(s) = (1 + sRC) / [1 + sR(C' + C)],

but if the value of C' is not constant, i.e. C' = ω * t,  where ω is a constant rotate speed, t is time.

then How to get the Uo(s) / Ui(s)  ?

Thanks!

BR

jjl3