To solve this problem, we should remember that:
Energy = Force x Distance
Since we are talking about charges, therefore we make use of Coulumb’s law for the electrical force between the two charges:
F = k q1 q2 / d^2
Where,
k = Coulumb’s constant = 9 x 10^9 N m^2/ c^2
q = charge
d = distance between the charges
Plugging back into the energy equation:
E = (k q1 q2 / d^2) * d
E = k q1 q2 / d
Solving for E using the given values:
E = (9 x 10^9 N m^2/ c^2) (3.4 E -6 c) (6.6 E -6 c) / 0.10 m
E = 2.02 N m = 2.02 J