Engineering Solve RC Circuit Problem: Initial Conditions & t1 >> 0

[cobrab]

Hello All,

I'm having problem to solved the attached RC circuit.

The initial conditions are: VC1(0)=V, VC2(0)=0, and the qeustion is what will be the VC2 after t1 (t1>>0)?

but i always get VC2(t1)=V which is imposible.

I'm solving it by using i=cdv/dt



3. The Attempt at a Solution is as follows:

VC1=VR1+VC2

I=I2+I3 (I2 is the current throgh the R2 and I3 is throgh C2)

It/C1-VC1(0)=(I2+I3)/R1+VC2 -> (I2+I3)t/C1-VC1(0)=(I2+I3)R1+VC2

This is the basic after that I'm putting I3=C2dVC2/dt and I2=VC2/R2

I'm solving the equation and getting wrong answer of VC2(t1)=V.

t1>>0.

Thanks you

 

[asd1249jf]

Another and much easier approach you may want to take is to find the time response, and find v(infinity), v(0+)