Originally Posted by

**WayOfTime**
When fully charged, a capacitor's voltage equals that of the source charging it (in this case, both C1 and C2 when added together = E's voltage). When you apply Kirchoff's Loop and Junction rule and use this method to determine the voltage of the loop, you get three equations that are equal to zero (Since one of the sides ends up as E - C1 - C2, but that is zero as defined previously).

Thus, if you put all of them into a matrix and solve for each of the values, there is no valid rule of matrix manipulation that would allow you to get a non-zero answer for any of the currents.

Therefore, no current in the circuit flows (if there is no leakage) when the capacitors are fully charged.

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