Looking for classes? Ksquare Career Institute, Bengaluru →
Energy Stored in Capacitors
Concepts tested here
- Energy of capacitors in parallel
All Questions
2007 AIPMT-PRE 1 question
-
Two condensers, one of capacity $C$ and other of capacity $\dfrac{C}{2}$, are connected to a V-volt battery, as shown.
(The two condensers are connected in parallel across the battery.)
The work done in charging fully both the condensers isThe two condensers are in parallel across the battery, so each is charged to the potential difference $V$.
Equivalent capacitance: $C_{eq} = C + \dfrac{C}{2} = \dfrac{3C}{2}$
Work done in charging = change in the stored energy $= \dfrac{1}{2}C_{eq}V^2$
$= \dfrac{1}{2}\left(C + \dfrac{C}{2}\right)V^2$
$= \dfrac{1}{2}\left(\dfrac{3C}{2}\right)V^2$
$= \dfrac{3}{4}CV^2$
