How much energy is stored in a fully charged capacitor with 1.2 × 10^−9 C of charge on one plate and 16 V across its plates?
Question
How much energy is stored in a fully charged capacitor with 1.2 × 10^−9 C of charge on one plate and 16 V across its plates?
Solution
The energy (E) stored in a capacitor can be calculated using the formula:
E = 1/2 * C * V^2
Where: C is the capacitance, which can be calculated using the formula C = Q/V, where Q is the charge and V is the voltage. V is the voltage across the capacitor.
First, calculate the capacitance:
C = Q/V = 1.2 × 10^−9 C / 16 V = 7.5 × 10^-11 F
Then, substitute C and V into the energy formula:
E = 1/2 * 7.5 × 10^-11 F * (16 V)^2 = 9.6 × 10^-9 J
So, the energy stored in the capacitor is 9.6 × 10^-9 Joules.
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