Finding the distance between two charges

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To find the distance between two charges given their potential energy, the equation U = (k * q1 * q2) / r can be rearranged to solve for r. The potential energy U is 0.37 J, with charges q1 = 5.0 µC and q2 = 3.3 µC. The correct formula for r is r = U / (k * q1 * q2), where k is the Coulomb's constant (approximately 8.99 x 10^9 N m²/C²). There was confusion regarding the application of the equations, particularly in identifying the correct values for q0 and ensuring proper unit conversions. Ultimately, the correct approach leads to calculating the distance between the charges accurately.
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Homework Statement


The potential energy of a system of two charges (q1 = 5.0 µC and q2 = 3.3 µC) is 0.37 J. What is the distance between the charges?

Homework Equations


U=(kq_0q)/r --> r=U/(kq_0q)

U=V/q_0

V=0.37J
q1 = 5.0 µC
q2 = 3.3 µC

The Attempt at a Solution



So I was going to use equation 2 but I have two charges involved and that one only asks for q_0.
Do I calculate the change of the charge and use that for q_0?
 
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V is potential.
U is potential energy.
 
LittleMrsMonkey said:
V is potential.
U is potential energy.

Wow, that cleared up a lot so,

r= 0.37J/((8.99e9)(5e-6)(3.3e-6)) ?
 
Try solving for r again,you've made a mistake.
 
LittleMrsMonkey said:
Try solving for r again,you've made a mistake.
Was it the micro?
 
No.And it's the correct equation.The fraction is mot correct,though.
 
Seeing it in this form might help you: ##U=\frac{q_1q_2}{r} ##
So,does ##r=\frac{U}{q_1q_2} ##?
 
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