Moderate# Construction Energy of a System of Two Arbitrarily Placed Charges

EANDM-FRONS0

Figure 1 depicts a system of two charges, in which charge $q_1$ lies along the positive $x$-axis, at a distance of $r_1 = 2.50 \text{ cm}$ from the origin.

Charge $q_2$ lies at a distance $r_2 = 1.50 \text{ cm}$ from the origin, along a line which makes an angle of $\theta_2 = 230^\circ$ with respect to the positive $x$-axis.

Let $q_1 = 0.64 \; \mu \rm{C}$ and $q_2 = 1.28 \; \mu \rm{C}$.

What energy $U$ is required to construct this system, assuming that the potential energy of the system is zero when all charges are infinitely separated?