A Parallel-Plate Capacitor with Plate Separation Of $4.0 \mathrm {~cm}$ Has a Plate Area Of

Multiple Choice

A parallel-plate capacitor with plate separation of $4.0 \mathrm {~cm}$ has a plate area of $6.0 \times 10 ^ { - 2 } \mathrm {~m} ^ { 2 }$ .What is the capacitance of this capacitor if a dielectric material with a dielectric constant of $2.4$ is placed between the plates, completely filling the space? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right.$ )

A) $32 \times 10 ^ { - 14 } \mathrm {~F}$
B) $32 \times 10 ^ { - 12 } \mathrm {~F}$
C) $3.7 \times 10 ^ { - 14 } \mathrm {~F}$
D) $16 \times 10 ^ { - 14 } \mathrm {~F}$
E) $3.7 \times 10 ^ { - 12 } \mathrm {~F}$