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## Homework Statement

Hello I want to solve the following circuit, I want to know how the voltage on R1 and R2 develop with time,

It start at t=0 when there is no voltage in the circuit ( all V=0). Its a symbolic question, I need to show the equation.

V1(t) = ? ,

V2(t) = ?

The current is a DC

## Homework Equations

## The Attempt at a Solution

Well, noting much.. I just wrote it in a better way:

http://i62.tinypic.com/5w9gxz.png

V

_{R1}= V

_{C1}

V

_{R1}+ V

_{Rc}+ V

_{C2}= 0

V

_{R2}= V

_{C2}

I

_{R1}+ I

_{C1}+ V

_{RC}= I

_{inj}

I

_{Rc}= I

_{R2}+ V

_{C2}

[tex] V_1 = V_{C1} = V_{R1} \\ V_2 = V_{R2} = V_{C2} [/tex]

[tex] \frac{V_1}{R_1} + \frac{dV_1}{dt}*C_1 + \frac{V_{Rc}}{R_c} = I_{inj} \\

\frac{V_{Rc}}{R_c} = \frac{V_2}{R_2} + C_2*\frac{dV_2}{dt}[/tex]

-->

[tex] \frac{dV_1}{dt}*C_1 = I_{inj} -\frac{V_{Rc}}{R_c} - \frac{V_1}{R_1} \\

\frac{dV_2}{dt}*C_2 = \frac{V_2}{R_2} -\frac{V_{Rc}}{R_c} [/tex]

Last edited: