When the total charge in a capacitor is doubled, the energy stored?
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Answer:
The energy stored will be doubled when the total charge in the capacitor is doubled.
Explanation:
- The energy stored in a capacitor is directly proportional to the square of the charge and inversely proportional to the capacitance
- E = q²/2C
- The capacitance is directly proportional to the charge
- C = q/V where V is the voltage
- Therefore, the energy is directly proportional to the charge
- E = qV/2C
- As the total charge q in the capacitor has doubled, the energy stored will also be doubled as the energy is directly proportional to the charge of the capacitor.
When the total charge in a capacitor is doubled, the energy stored is also doubled.
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