As in figure shown. If capacitor C is charged by connecting it with resistance R, then energy is given by the battery will be:
Correct answer: C. More than 1/2 CV2
- A. 1/2 CV2
- B. Less than 1/2 CV2
- C. More than 1/2 CV2
- D. Zero
Explanation
When a capacitor is charged through a resistor, the battery provides energy not only to store charge in the capacitor but also to overcome the resistive losses. The energy stored in the capacitor is 1/2 CV2, but the energy supplied by the battery is more than this because some energy is dissipated as heat in the resistor. Therefore, the correct answer is 'More than 1/2 CV2'. The options '1/2 CV2' and 'Zero' disregard the energy dissipated as heat, while 'Less than 1/2 CV2' ignores the energy stored in the capacitor.
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About Electrostatics
Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.
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