First slide

Capacitance

Question

A capacitor is charged to store an energy U. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each capacitor is now

Easy

A

3U/2
B

U
C

U/4
D

U/2

Solution

$U = \frac{1}{2} C V^{2}$
Potential of each capacitor now is V/2.
$U' = \frac{1}{2} C {(\frac{V}{2})}^{2} = \frac{U}{4}$

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