What is the area of the plates of a 3F parallel plate capacitor, if the separation between the plates is 5mm?
Correct answer: A. 1.694 x 10⁹ m²
- A. 1.694 x 10⁹ m²
- B. 9.281 x 10⁹ m²
- C. 4.529 x 10⁹ m²
- D. 12.981 x 10⁹ m²
Explanation
The formula for capacitance is C = (kε₀A)/d. Assuming the dielectric is a vacuum (k=1), and rearranging for area gives A = Cd/ε₀. A = (3 F × 0.005 m) / (8.85 × 10⁻¹² F/m) ≈ 1.69 × 10⁹ m², an astronomically large area.
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