Each Plate of an Ideal Air-Filled Parallel-Plate Capacitor Has an Area

Multiple Choice

Each plate of an ideal air-filled parallel-plate capacitor has an area of $0.0010 \mathrm {~m} ^ { 2 }$ , and the separation of the plates is $0.050 \mathrm {~mm}$ . An electric field of $7.4 \times 10 ^ { 6 } \mathrm {~V} / \mathrm { m }$ is present between the plates. What is the capacitance of this capacitor? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)$

A) $300 \mathrm { pF }$
B) $120 \mathrm { pF }$
C) $180 \mathrm { pF }$
D) $240 \mathrm { pF }$
E) $360 \mathrm { pF }$