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  4. A 4 μF capacitor is charged to 400 V and then its plates are joined through a resistance of 1 kΩ . The heat produced in the resistance is

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Q. A $4 \, μF$ capacitor is charged to $400 \, V$ and then its plates are joined through a resistance of $1 \, k\Omega $ . The heat produced in the resistance is

NTA AbhyasNTA Abhyas 2022

Solution:

The energy stored in the capacitor
$=\frac{1}{2}\text{CV}^{2}=\frac{1}{2}\times 4\times \text{10}^{- 6}\times \text{400}\times \text{400}=\text{0.32 J}$
This energy will be converted into heat in the resistor.