Finding the distance between two charges

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Homework Help Overview

The discussion revolves around calculating the distance between two charges based on their potential energy. The charges involved are q1 = 5.0 µC and q2 = 3.3 µC, with a given potential energy of 0.37 J.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between potential energy and distance, questioning how to incorporate both charges into the calculations. There is discussion about the correct interpretation of variables and equations related to potential energy.

Discussion Status

Some participants have provided clarifications regarding the definitions of potential and potential energy. There are indications of attempts to recalculate the distance, with some participants suggesting that mistakes may have been made in earlier calculations. Multiple interpretations of the equations are being explored.

Contextual Notes

Participants are navigating the complexities of the equations involved, particularly in relation to the variables for potential energy and charge. There is an emphasis on ensuring the correct application of units, such as microcoulombs.

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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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