Potential difference between 2 points in a capacitor circuit

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In a capacitor circuit, transient current flows until equilibrium is reached, with charges depositing on capacitor plates. The potential differences across capacitors can be expressed in terms of their charges and capacitances. Conservation of charge applies to the isolated system, leading to the equation where total charge equals zero at equilibrium. The discussion emphasizes that ideal batteries can be treated as having no net charge when not delivering current, simplifying the analysis. The focus is on using symbolic equations to describe the relationships among the circuit components without needing to account for the battery's internal charge state.
  • #31
The solution for defining a battery as infinite C implies dV/dt = I/C =0 regardless of the charge transferred or its rate of flow which is current. So we assume a charge is simply transferred in this case from the higher voltage to the lower voltage battery and the conservation of charge equations then only involve the other components. So in the end it doesn’t affect the result but at least it passes the sniff test for reality in physics.

I posted the correct assumption in #11 if if C1V1+C2V2=0.

Also from KVL, V1+V2 +24-12V =0 and if C2=2C1
Thus for C1=2 uF and C2=4 uF

you have 2 equations and 2 unknowns, solve it and what are V1,V2?
 
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