A 30-PFcapacitor Consists of Two Large Closely-Spaced Parallel Plates That Have

A 3.0-pFcapacitor consists of two large closely-spaced parallel plates that have surface charge densities of $\pm 1.0 \mathrm { nC } / \mathrm { mm } ^ { 2 }$ If the potential across the plates is $23.0 \mathrm { kV }$ with only air between them, find the surface area of each of the plates. (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A) 69 mm²
B) 0.014 mm²
C) 35 mm²
D) 0.0072 mm²

Correct Answer:

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