A 4,mu F capacitor is charged to 400,V and th | vedclass

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(D) When a charged capacitor is discharged through a resistance,the total energy stored in the capacitor is dissipated as heat in the resistance.Energ

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$0.32$

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(D) When a charged capacitor is discharged through a resistance,the total energy stored in the capacitor is dissipated as heat in the resistance.Energy stored in the capacitor is given by the formula $U = \frac{1}{2}CV^2$.Given: $C = 4\,\mu F = 4 	imes 10^{-6}\,F$ and $V = 400\,V$.Substituting the values:$U = \frac{1}{2} 	imes (4 	imes 10^{-6}) 	imes (400)^2$$U = 2 	imes 10^{-6} 	imes 160000$$U = 2 	imes 10^{-6} 	imes 1.6 	imes 10^5$$U = 3.2 	imes 10^{-1} = 0.32\,J$.Therefore,the heat produced in the resistance is $0.32\,J$.

$A$ $4\,\mu F$ 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 ............... $J$.

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