CUET · PHYSICS · PYQ PAPER 2025
If the potential difference across a capacitor is changed from 12 V to 24 V, the work done is W. How much work will be done if the potential difference is changed from 24 V to 48 V?
- A 4 W
- B 3 W
- C 2 W
- D W
Answer & Solution
Correct Answer
(A) 4 W
Step-by-step Solution
Detailed explanation
\(W = \frac{1}{2}C(24^2 - 12^2) = \frac{1}{2}C(576 - 144) = \frac{1}{2}C(432)\) \(W' = \frac{1}{2}C(48^2 - 24^2) = \frac{1}{2}C(2304 - 576) = \frac{1}{2}C(1728)\) \(W' = \frac{\frac{1}{2}C(1728)}{\frac{1}{2}C(432)} W = \frac{1728}{432} W = 4W\)
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