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  4. A 4 micro farad capacitor is charged to 400 V and then its plates are joined through a resistance of 1 K Ω. The heat produced in the resistor is

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

KCETKCET 2022

Solution:

Energy stored in the capacitor appears as heat in the capacitor
$E=1 / 2 C V^{2}=1 / 2 \times 4 \times 10^{-6} \times 4 \times 4 \times 10^{4}=32 \times 10^{-2}$