A parallel plate condenser of capacity C is connected to a battery and is charged to a potential V. Another condenser of capacity 2 C is connected to another battery and is charged to a potential 2 V. The charging batteries are removed and now the condensers are connected in parallel in such a way that the positive plate of one is connected to negative plate of other. The final energy of this system is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

zero

$5 {CV}^{2} / 2$

$3 {CV}^{2} / 2$

$9 {CV}^{2} / 2$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The common potential is given by
$V = \frac{C_{2} V_{2} - C_{1} V_{1}}{C_{1} + C_{2}} = \frac{4 CV - CV}{3 C} = V$
The energy stored by the combination is given by
$U = \frac{1}{2} {CV}^{2} = \frac{1}{2} (3 C) V^{2}$
or $U = \frac{3 {CV}^{2}}{2}$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th