Two Large Parallel Plates Are Separated By $1.0 \mathrm {~mm}$ Of Air If the Potential Difference Between Them Is

Multiple Choice

Two large parallel plates are separated by $1.0 \mathrm {~mm}$ of air. If the potential difference between them is $3.0 \mathrm {~V}$ , what is the magnitude of their surface charge densities? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)$

A) $2.7 \times 10 ^ { - 8 } \mathrm { C } / \mathrm { m } ^ { 2 }$
B) $3.3 \times 10 ^ { - 4 } \mathrm { C } / \mathrm { m } ^ { 2 }$
C) $1.6 \times 10 ^ { - 4 } \mathrm { C } / \mathrm { m } ^ { 2 }$
D) $5.3 \times 10 ^ { - 8 } \mathrm { C } / \mathrm { m } ^ { 2 }$