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

Multiple Choice

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. $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right.$ )

A) $35 \mathrm {~mm} ^ { 2 }$
B) $69 \mathrm {~mm} ^ { 2 }$
C) $0.0072 \mathrm {~mm} ^ { 2 }$
D) $0.014 \mathrm {~mm} ^ { 2 }$