The energy stored in a capacitor of capacitan | vedclass

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Question

(C) The energy $U$ stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$.Given:Capacitance $C = 10 \mu F = 10 	imes 10^{-6} 	ext{ F}

Vedclass · Accepted Answer

$180$

Vedclass · Answer

(C) The energy $U$ stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$.Given:Capacitance $C = 10 \mu F = 10 	imes 10^{-6} 	ext{ F} = 10^{-5} 	ext{ F}$.Potential $V = 6 	ext{ kV} = 6 	imes 10^3 	ext{ V}$.Substituting the values into the formula:$U = \frac{1}{2} 	imes (10^{-5} 	ext{ F}) 	imes (6 	imes 10^3 	ext{ V})^2$$U = \frac{1}{2} 	imes 10^{-5} 	imes 36 	imes 10^6$$U = 18 	imes 10^1 	ext{ J} = 180 	ext{ J}$.Therefore,the energy stored is $180 	ext{ J}$.

The energy stored in a capacitor of capacitance $10 \mu F$ when charged to a potential of $6 \text{ kV}$ is: (in $\text{ J}$)

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