Capacitors in DC circuits.

[dl9978196]

I have to find potential difference on plates of capacitors in DC circuit.

I am given E₁, E₂, C₁, C₂, R₁ and R₂.

The circuit looks like this:

http://postimg.org/image/y179yiq2p/

 

Voltage at plates increases until at some point capacitors are fully charged and no current can flow throught their branch, right?

So, in this steady state I write equations for each of two loops using Kirchoff's rules and they look like this:

 

E ₁ = IR₁ + IR₂ = I(R ₁ + R₂)

E ₂ = U₁ + U₂ + IR₂

 

where U₁ and U₂ are voltages on capacitors.

 

I need one more equation to solve the system, so I use this:

q₁ = C₁U₁

q₂ = C₂U₂

 

and q₁ = q₂ , right, because amount of charge on both capacitors should be equal after they're fully charged?

 

So, is this correct?

Edited December 11, 2014 by dl9978196