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A capacitor of $10\ \mu$F is charged to $100$ V. The energy stored is:
A$1000$ J, ignoring the half factor and unit scaling
B$1\ \mu$J, the simple product of values without scaling
C$10$ J, taking $U = CV$ without squaring voltage
D$0.05$ J, since $U = \tfrac{1}{2}CV^2 = 0.5\cdot 10^{-5}\cdot 10^4$
Answer & Solution
Correct answer: D. $0.05$ J, since $U = \tfrac{1}{2}CV^2 = 0.5\cdot 10^{-5}\cdot 10^4$
$U = \tfrac{1}{2}CV^2 = 0.5\cdot 10\times 10^{-6}\cdot 100^2 = 0.05$ J.
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