Capacitor Energy Storage and Supply – Rankers Physics
Topic: Capacitors
Subtopic: Parallel Plate Capacitor

Capacitor Energy Storage and Supply

A capacitor of capacitance C is connected across a battery of potential difference V.
Assertion (A): The energy stored in capacitor is \( \frac{1}{2} CV^2 \).
Reason (R): The energy supplied by the battery is \( CV^2 \).
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true: energy stored in a capacitor is \( U = \frac{1}{2} CV^2 \). Reason (R) is true: the total work done by the battery (energy supplied) is \( W = CV^2 \). However, (R) is not the correct explanation for (A), as half of the supplied energy is dissipated as heat.

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