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COMEDK · Physics · 18. Capacitance

A \(10 \mu \mathrm{F}\) capacitor is charged to \(10 \mathrm{~V}\) and disconnected from the battery. If another uncharged \(10 \mu \mathrm{F}\) capacitor is connected across it in parallel, then the voltage across the combination will be

  1. A \(5 \mathrm{~V}\)
  2. B \(10 \mathrm{~V}\)
  3. C \(20 \mathrm{~V}\)
  4. D Zero
Verified Solution

Answer & Solution

Correct Answer

(A) \(5 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

Common potential difference for a parallel combination of capacitors, is \(V_{C}=\frac{V_{1} C_{1}+V_{2} C_{2}}{C_{1}+C_{2}}\) Given, \[ \begin{aligned} V_{2} &=0, V_{1}=10 \mathrm{~V} \\ C_{1} &=C_{2}=10 \mu \mathrm{F}=10 \times 10^{-6} \mathrm{~F} \end{aligned} \]…