A Point Charge Of $+ 3.00 \mu \mathrm { C }$

Multiple Choice

A point charge of $+ 3.00 \mu \mathrm { C }$ and a second charge $Q$ are initially very far apart. If it takes $29.0 \mathrm {~J}$ of work to bring them to a final configuration in which the $+ 3.00 - \mu \mathrm { C }$ charge is at the point $x = 1.00$ $\mathrm { mm } , y = 1.00 \mathrm {~mm}$ , and the second charge $Q$ is at the point $x = 1.00 \mathrm {~mm} , y = 3.00 \mathrm {~mm}$ , find the magnitude of the charge $Q . \left( k = 1 / 4 \pi \varepsilon _ { 0 } = 8.99 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)$

A) $2.15 \mu \mathrm { C }$
B) $10.74 \mu \mathrm { C }$
C) $4.30 \mu \mathrm { C }$
D) $4.30 \mathrm { nC }$