Each Plate of a Parallel-Plate Air-Filled Capacitor Has an Area $m ^ { 2 }$

Multiple Choice

Each plate of a parallel-plate air-filled capacitor has an area of 0.0040 $m ^ { 2 }$ , and the separation of the plates is $0.020 \mathrm {~mm}$ An electric field of $8.2 \times 10^6 \mathrm {~N} / \mathrm { C }$ is present between the plates. What is the energy density in the region between the plates? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A) 300 J/ $m ^ { 3 }$
B) 200 J/ $m ^ { 3 }$
C) 400 J/ $m ^ { 3 }$
D) 500 J/ $m ^ { 3 }$
E) 610 J/ $m ^ { 3 }$