Physics - Capacitor Question with Solution | TestHub

The common potential $V$ when two capacitors are connected in parallel is given by the ratio of total charge to total capacitance.

$V=\frac{C_1{V}_1+C_2{V}_2}{C_1+C_2}$

Given $C_1=20\mu$F, $V_1=500$ V, $C_2=10\mu$F, and $V_2=200$ V.

Substituting the values:

$V=\frac{20\times 500+10\times 200}{20+10}$

$V=\frac{10000+2000}{30}$

$V=\frac{12000}{30}=400$ V

Answer: $400$ V