The Square Plates of A $5000 - p F$ Parallel-Plate Capacitor Measure

Multiple Choice

The square plates of a $5000 - p F$ parallel-plate capacitor measure $50 \mathrm {~mm}$ by $50 \mathrm {~mm}$ and are separated by a dielectric that is $0.23 \mathrm {~mm}$ thickand totally fills the region between the plates. The voltage rating (the maximum safe voltage) of the capacitor is $400 \mathrm {~V}$ . What is the maximum energy that can be stored in this capacitor without damaging it? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right.$ )

A) $0.60 \mathrm {~mJ}$
B) $0.50 \mathrm {~mJ}$
C) $0.80 \mathrm {~mJ}$
D) $0.70 \mathrm {~mJ}$
E) $0.40 \mathrm {~mJ}$