JEE Exam  >  JEE Questions  >  A parallel plate capacitor of capacitance C i... Start Learning for Free
A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination?
Most Upvoted Answer
A parallel plate capacitor of capacitance C is connected to a battery ...
Answer


Initial Energy


  • The energy of a capacitor is given by U = (1/2)CV^2.

  • The energy of the first capacitor is U1 = (1/2)CV^2.

  • The energy of the second capacitor is U2 = (1/2)(2C)(2V)^2 = 8CV^2.

  • The total energy of the system before they are connected in parallel is U = U1 + U2 = (9/2)CV^2.



Final Energy


  • When the capacitors are connected in parallel, the equivalent capacitance is Ceq = C + 2C = 3C.

  • The equivalent voltage across the capacitors is Veq = (V + (-2V))/2 = -V/2.

  • The energy of the combined capacitors is Ueq = (1/2)CeqVeq^2 = (1/2)(3C)(-V/2)^2 = (3/8)CV^2.



Explanation

When the capacitors are connected in parallel, the equivalent capacitance increases while the equivalent voltage decreases. The total energy of the system is conserved, but it is redistributed between the two capacitors. The first capacitor loses some energy while the second capacitor gains some energy. The final energy of the combined capacitors is less than the initial energy of the system due to the redistribution of energy.
Community Answer
A parallel plate capacitor of capacitance C is connected to a battery ...
Explore Courses for JEE exam
A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination?
Question Description
A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination?.
Solutions for A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? defined & explained in the simplest way possible. Besides giving the explanation of A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination?, a detailed solution for A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? has been provided alongside types of A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? theory, EduRev gives you an ample number of questions to practice A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance to 2C is similarly charged to a potential difference 2V. 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 other. What is the final energy of the combination? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev