A capacitor of capacitance 10 µF is charged to a potential of 50 V. The energy stored in the capacitor is:a) 12.5 Jb) 1.25 Jc) 0.125 Jd) 25 J
Question
A capacitor of capacitance 10 µF is charged to a potential of 50 V. The energy stored in the capacitor is:a) 12.5 Jb) 1.25 Jc) 0.125 Jd) 25 J
Solution
The energy (W) stored in a capacitor can be calculated using the formula:
W = 1/2 * C * V^2
where: C is the capacitance, which is 10 µF or 10 * 10^-6 F V is the voltage, which is 50 V
Substituting these values into the formula gives:
W = 1/2 * 10 * 10^-6 F * (50 V)^2 W = 1/2 * 10 * 10^-6 F * 2500 V^2 W = 1.25 Joules
So, the energy stored in the capacitor is 1.25 J. Therefore, the correct answer is (b) 1.25 J.
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