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The energy stored in a charged capacitor is given by the formula 1/2CV².
When a capacitor is charged, it stores electrical energy in its electric field. The amount of energy stored in a capacitor depends on its capacitance and the voltage across it. The formula for calculating the energy stored in a capacitor is 1/2CV², where C is the capacitance of the capacitor and V is the voltage across it.
Capacitance is a measure of a capacitor's ability to store charge. It is defined as the ratio of the charge stored on each plate of the capacitor to the voltage across it. The unit of capacitance is the farad (F). A capacitor with a larger capacitance can store more charge and therefore more energy than a capacitor with a smaller capacitance.
The voltage across a capacitor is the potential difference between its two plates. When a capacitor is charged, the voltage across it increases until it reaches the same value as the voltage of the charging source. The energy stored in a capacitor is proportional to the square of the voltage across it, which means that doubling the voltage across a capacitor quadruples the energy stored in it.
In summary, the energy stored in a charged capacitor is given by the formula 1/2CV², where C is the capacitance of the capacitor and V is the voltage across it. The energy stored in a capacitor depends on its capacitance and the voltage across it, and is proportional to the square of the voltage.
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