Capacitor discharging into another capacitor with RC timing

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cupid.callin
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1. The problem statement and my attempt
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Its not the correct answer.
answer is: Q/2(1 - e-2t/RC)
 
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  • Printed problem text: A capacitor of capacitance C is given a charge Q. At t = 0, it is connected to an uncharged capacitor of equal capacitance through a resistance R. Find the charge on the second capacitor as a function of time.
    Q1.jpg
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  • Handwritten working on lined paper: a circuit with capacitor C1 charged to Q, in series with resistor R and capacitor C2, followed by equations q = Q e^(-t/RC), i = Q/(Rt) e^(-t/RC), v = v0 e^(-t/RC), v0 = CQ, and q = Cv(1 - e^(-t/RC)) with a line of scribbled-out algebra.
    A1.jpg
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The sum of the voltages across R and C2 is equal to the voltage of the first capacitor. Q1/C1 =I*R +Q2/C2. As the charge is conserved, Q1+Q2=Qo=const, and I=dQ2/dt=-dQ1/dt, so you have the differential equation (Qo-Q2)C1+Q2/C2+RdQ2/dt=0 with the initial condition Q2(0)=0.

ehild