CUET · PHYSICS · PYQ PAPER 2023
In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates parallel to them. If the thickness of the sheet is one third of the separation between the plates, the capacitance of the capacitor will be
- A \( \frac{5C}{2} \)
- B \( 2C \)
- C \( \frac{3C}{2} \)
- D \( 5C \)
Answer & Solution
Correct Answer
(C) \( \frac{3C}{2} \)
Step-by-step Solution
Detailed explanation
\( C = \frac{\epsilon_0 A}{d} \) \( C' = \frac{\epsilon_0 A}{d - t} \) \( C' = \frac{\epsilon_0 A}{d - \frac{d}{3}} \) \( C' = \frac{\epsilon_0 A}{\frac{2d}{3}} \) \( C' = \frac{3}{2} \frac{\epsilon_0 A}{d} = \frac{3C}{2} \)
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