The Square Plates of A $3000 - \mathrm { pF }$

Multiple Choice

The square plates of a $3000 - \mathrm { pF }$ parallel-plate capacitor measure $40 \mathrm {~mm}$ by $40 \mathrm {~mm}$ and are separated by a dielectric that is $0.29 \mathrm {~mm}$ thick and completely fills the region between the plates. What is the dielectric constant of the dielectric? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)$

A) 56
B) 67
C) 50
D) 61
E) 45