A capacitor is used to store 24 , text{watt-h | vedclass

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(A) The energy stored in a capacitor is given by the formula $U = \frac{1}{2}CV^2$.Given energy $U = 24 \, 	ext{watt-hour}$.Convert energy to Joules:

Vedclass · Accepted Answer

$120 \, 	ext{mF}$

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(A) The energy stored in a capacitor is given by the formula $U = \frac{1}{2}CV^2$.Given energy $U = 24 \, 	ext{watt-hour}$.Convert energy to Joules: $U = 24 	imes 60 	imes 60 \, 	ext{J} = 86400 \, 	ext{J}$.Given voltage $V = 1200 \, 	ext{V}$.Substituting the values into the formula: $86400 = \frac{1}{2} 	imes C 	imes (1200)^2$.$86400 = \frac{1}{2} 	imes C 	imes 1440000$.$86400 = C 	imes 720000$.$C = \frac{86400}{720000} \, 	ext{F} = 0.12 \, 	ext{F}$.Converting to millifarads: $C = 0.12 	imes 1000 \, 	ext{mF} = 120 \, 	ext{mF}$.

$A$ capacitor is used to store $24 \, \text{watt-hour}$ of energy at $1200 \, \text{V}$. What should be the capacitance of the capacitor?

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