What is the area of the plates of a 3F parallel plate capacitor, if the seperation between the plates is 5mm?
Correct answer: A. 1.694 x 10^9 m2
- A. 1.694 x 10^9 m2
- B. 9.281 x 10^9 m2
- C. 4.529 x 10^9 m2
- D. 12.981 x 10^9 m2
Explanation
To find the area of the plates of a parallel plate capacitor, use the formula for capacitance: C = ε₀(A/d), where C is the capacitance, ε₀ is the permittivity of free space, A is the area, and d is the separation between the plates. Given C = 3F and d = 5mm = 0.005m, rearrange the formula to find A = C * d / ε₀. With ε₀ ≈ 8.854 × 10-12 F/m, calculate the area to be approximately 1.694 × 109 m2. The other options result from incorrect calculations or assumptions about the constants used.
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