First slide

Redistribution of charges and concept of common potential

Question

A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. What is the common potential (in V) and energy lost (in J) after reconnection?

Moderate

A

$100, 6 \times 10^{- 6}$
B

$200, 6 \times 10^{- 5}$
C

$200, 5 \times 10^{- 6}$
D

$100, 6 \times 10^{- 5}$

Solution

$V_{C} = \frac{C_{1} V_{1}}{C_{1} + C_{2}} = 100 V$
Energy lost $= U_{i} - U_{f}$
$= \frac{1}{2} C_{1} V_{1}^{2} - \frac{1}{2} (C_{1} + C_{2}) V_{c}^{2}$
$= 6 \times 10^{- 6} J$

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