A 10, mu F capacitor is charged to 500, V and | vedclass

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(D) When a charged capacitor is discharged through a resistance, the entire electrostatic potential energy stored in the capacitor is dissipated as he

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$1.25$

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(D) When a charged capacitor is discharged through a resistance, the entire electrostatic potential energy stored in the capacitor is dissipated as heat in the resistance.The energy stored in a capacitor is given by the formula $U = \frac{1}{2}CV^2$.Given:Capacitance $C = 10\, \mu F = 10 	imes 10^{-6}\, F = 10^{-5}\, F$.Potential difference $V = 500\, V$.Substituting the values into the formula:$U = \frac{1}{2} 	imes (10^{-5}) 	imes (500)^2$$U = \frac{1}{2} 	imes 10^{-5} 	imes 250,000$$U = 0.5 	imes 2.5 = 1.25\, J$.Therefore, the heat produced in the resistance is $1.25\, J$.

$A$ $10\, \mu F$ capacitor is charged to $500\, V$ and then its plates are joined together through a resistance of $10\, \Omega$. The heat produced in the resistance is ........ $J$.

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