Hi there!
Recall the equation for electric potential energy for point charges:
[tex]\boxed{U = \frac{1}{4\pi \epsilon_0} \frac{q_1q_2}{r}}[/tex]
U = Electric potential energy (J)
ε₀ = Permittivity of Free Space (8.85 × 10⁻¹² C/Vm)
q₁, q₂: Charges (C)
r = distance between charges (m)
Solving for r:
3 - (-3) = 6m
Now, plug in the values:
[tex]U = \frac{1}{4\pi \epsilon_0} \frac{(.00001)(.00001)}{6} = \boxed{1.498 J}[/tex]
