Question

Three capacitors of capacitances `1 muF, 2 muF`, and `2 muF`, are cahrged up to the potential difference `30 V, 10 V`, and `15 V`, respectivly. If terminal `A` is connected with `D C` is connected with E and F is connected eith B, the find the charge flow in the ciruit and the final charge on the capacitors.
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Answer 1

Let charge flow be `q`.
Now applying Kirchhoff`s voltage low, we get

`((20-q))/2-((30+q))/2+((30-q))/1=0`
or `-2q=-25` or `q=12.5 muC`
Charge on `C_(1)` is `q_(1)=30-12.5=17.5 muC`
Charge on `C_(2)` is `q_(2)=30+12.5=42.5 muC`
Charge on `C_(3)` is `q_(3)=20-12.5-12.5=7.5 muC`.