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I HAVE A RC CIRCUIT WHERE R1=100Kohm and R2=1Mohm and C=2.1micro farads with a Vin =10V,

In order to calculate the voltage through the capacitor I deduce the following formula,

Vc(s)=V/S {(((R2×1/Cs)/(R2+1/Cs)))/(((R2×1/Cs)/(R2+1/Cs)+R1) )}

I then need to produce a laplace transform of exponential growth thus, I believe to be

Vc(s)=a/s(s+a)

However I have spent a week on this now and cannot get a soloution. I would be grateful of any help or any point to know where I am going wrong. I have pages and pages of transposition but they all lead to every answer but the one I require. Many thanks

Please see attachement