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Electrostatic Potential and Capacitance

Energy stored in capacitor

A parallel plate capacitor of capacitance C is connected to a

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Solving time: 2 mins

A parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$ . Another capacitor of capacitance $2 C$ is connected to another battery and is charged to potential difference $2 V$ . The charging batteries are 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 :

zero

\frac{25 C V ^{2}}{6}

\frac{3 C V ^{2}}{2}

\frac{9 C V ^{2}}{2}

Views: 6,019 students

Updated on: Sep 25, 2023

Book:

Physics Galaxy Electrostatics and Current Electricity Vol 3 A (Ashish Arora)

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Benjamin Discussed

A parallel plate capacitor of capacitance

C

is connected to a battery and is charged to a potential difference

V

. Another capacitor of capacitance

2 C

is connected to another battery and is charged to potential difference

2 V

. The charging batteries are 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 :

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

The common potential after connections is given as

V^{'} = \frac{2 C \times 2 V - C V}{C + 2 C} = V

Final energy of the system of capacitor is given as

U \Rightarrow U = \frac{1}{2} (C + 2 C) V^{2} = \frac{3}{2} C V^{2}

Thus option

(C)

is correct.

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Question Text	A parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$ . Another capacitor of capacitance $2 C$ is connected to another battery and is charged to potential difference $2 V$ . The charging batteries are 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 :
Updated On	Sep 25, 2023
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	348
Avg. Video Duration	4 min

Text solutionVerified

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Text solutionVerified

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