First slide

Redistribution of charges and concept of common potential

Question

Three plates A, B and C each of area 0.1 m² are separated by 0.885 mm from each other as shown in the figure. A 10 V battery is used to charge the system. Find the energy stored in the system (in $μ$ J).

Moderate

Solution

Making equivalent circuit diagram.
The energy stored in the system
$U = \frac{1}{2} C_{1} V^{2} + \frac{1}{2} C_{2} V^{2} = \frac{1}{2} (C_{1} + C_{2}) V^{2}$
$U = \frac{1}{2} (\frac{8 .85 \times 10^{- 12} \times 0 .1}{0 .885 \times 10^{- 3}} \times 2) \times 10^{2} = 0.1 μJ$

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