Parallel Plate Capacitor: Practice Problem & Solution
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 \( CV^2 \).
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Parallel Plate Capacitor. Understanding the underlying formula is key to arriving at the correct answer below:
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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