Solution:
For the common potential to be zero, the initial charges on the capacitors must be equal in magnitude and connected with opposite polarities: \( q_1 = q_2 \Rightarrow 120 C_1 = 200 C_2 \Rightarrow 3 C_1 = 5 C_2 \).
Two capacitors \( C_1 \) and \( C_2 \) are charged to \( 120\text{V} \) and \( 200\text{V} \) respectively. It is found that by connecting them together the potential on each one can be made zero. Then :
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