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QAIPM-2000-Ph-3014: NEET 2000 Physics - Class 12 AIPM-2000-Ph-3014 Solution: A capacitor is charged with a battery and energy stored is U.…
A capacitor is charged with a battery and energy stored is U. After disconnecting battery another capacitor of same capacity is connected in parallel to the first capacitor. Then energy stored in each capacitor is
Multiple Choice Options
- A U/2
- B U/4
- C 4U
- D 2U
Step-by-Step Verified Solution
Let q be the charge on each capacitor.
_ Energy stored, U = 1 2 C V 2 = 1 2 q 2 C
Now, when battery is disconnected and another capacitor of same capacity is connected in parallel to the first capacitor, then voltage across each capacitor, V = q 2 C
_ Energy stored = 1 2 C ( q 2 C ) 2 = 1 4 . 1 2 q 2 C = 1 4 U .