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+)

 

[piercas]

Based on the information provided, it seems that you are on the right track with your solution. However, there may be some errors in your calculations that are leading to the incorrect answer of VC2(t1)=V. I would suggest double checking your equations and calculations to ensure they are correct. Additionally, it may be helpful to draw a circuit diagram and label all the components and variables to visualize the problem better. You may also want to consider using Kirchhoff's laws to help solve the circuit. Keep in mind that the initial conditions and the value of t1 being much greater than 0 will affect the final answer, so make sure to take those into account as well. Good luck!