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no_alone
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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.pngVR1 = VC1
VR1 + VRc + VC2 = 0
VR2 = VC2
IR1 + IC1 + VRC = Iinj
IRc = IR2 + VC2
[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]
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