A Tiny Particle Carries a Charge Of $6.0 \mu \mathrm { C }$

Multiple Choice

A tiny particle carries a charge of $6.0 \mu \mathrm { C }$ . What is the energy density in the electric field at a distance of $4.0 \mathrm {~m}$ from this charge? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)$

A) $0.81 \mathrm {~mJ} / \mathrm { m } ^ { 3 }$
B) $0.050 \mathrm {~mJ} / \mathrm { m } ^ { 3 }$
C) $3.2 \mathrm {~mJ} / \mathrm { m } ^ { 3 }$
D) $0.20 \mathrm {~mJ} / \mathrm { m } ^ { 3 }$