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AP EAMCET · PHYSICS · Capacitance

A capacitor of capacitance \(2 \mu \mathrm{~F}\) is charged with the help of a 60 V battery. After disconnecting the battery, if this capacitor is connected in parallel with another uncharged capacitor of capacitance \(1 \mu \mathrm{~F}\), then the potential difference across the plates of \(2 \mu \mathrm{~F}\) capacitor is

  1. A 30 V
  2. B 60 V
  3. C 40 V
  4. D 20 V
Verified Solution

Answer & Solution

Correct Answer

(C) 40 V

Step-by-step Solution

Detailed explanation

\(Q = C_1 V_1\) \(Q = (2 \, \mu \mathrm{F})(60 \, \mathrm{V}) = 120 \, \mu \mathrm{C}\) \(C_{eq} = C_1 + C_2\) \(C_{eq} = 2 \, \mu \mathrm{F} + 1 \, \mu \mathrm{F} = 3 \, \mu \mathrm{F}\) \(V_{final} = \frac{Q}{C_{eq}}\)…