Physics - Capacitor Question with Solution | TestHub

PhysicsCapacitorForce & Energy analysisMedium2 minPYQ_2015
PhysicsMediumsingle choice

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

Options:

Answer:
B
Solution:

The capacitors were initially charged to CV and 4CV. They are then connected with opposing polarities.

 

The net charge is 4CV-CV=3CV; their combined capacitance is C+2C=3C.

 

Image

 

The final potential is Q/C=3CV/(3C)=V.

 

Final stored energy is (1/2)(3C)V^2=3CV^2/2. Thus option B.

Stream:BITSATSubject:PhysicsTopic:CapacitorSubtopic:Force & Energy analysis
⏱ 2mℹ️ Source: PYQ_2015

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