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MHT CET20249 May 2024Morning ShiftPhysicsCapacitanceActual

A parallel plate capacitor of capacitance ' C ' is connected to a battery and charged to a potential difference ' V '. Another capacitor of capacitance 3 C is similarly charged to a potential difference 3 V . The charging battery is then disconnected and capacitors are connected in parallel to each other in such a way that positive terminal of one is connected to the negative terminal of the other. The final energy o

Options

  1. A3 2 CV ^2
  2. B8 CV ^2
  3. C13 2 CV ^2
  4. D18 CV ^2

Correct answer

B. 8 CV ^2

Step-by-step solution

As both capacitors are in parallel array ll & C _ eq = C +3 C =4 C & Net potential, V _ net =3 ~V - V =2 ~V & ~V = 1 2 C _ eq ~V _ net ^2= 1 2 4 C (2 ~V )^2 & ~V =8 CV array

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