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COMEDK · Physics · 18. Capacitance

Two capacitors \(\mathrm{C}_1\) and \(\mathrm{C}_2\) are charged to 100 V and 120 V respectively. It is found that upon connecting them together in parallel, the potential on each one of them is zero. Therefore

  1. A \(5 C_1=3 C_2\)
  2. B \(5 C_1+6 C_2=0\)
  3. C \(5 C_1=6 C_2\)
  4. D \(C_1+3 C_2=0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(5 C_1=6 C_2\)

Step-by-step Solution

Detailed explanation

Let the charges on the capacitors be \(Q_1 = C_1 V_1\) and \(Q_2 = C_2 V_2\). Given \(V_1 = 100\) V and \(V_2 = 120\) V, the charges are \(Q_1 = 100 C_1\) and \(Q_2 = 120 C_2\). When the capacitors are connected in parallel, the total charge is conserved. If the final potential…