Finding the distance between two charges

  • Thread starter Thread starter watabi
  • Start date Start date
  • Tags Tags
    Charges
Click For Summary
SUMMARY

The discussion centers on calculating the distance between two charges, specifically q1 = 5.0 µC and q2 = 3.3 µC, given a potential energy of 0.37 J. The relevant formula used is r = U / (k * q1 * q2), where k is Coulomb's constant (8.99 x 10^9 N m²/C²). The correct approach involves substituting the values into the equation to solve for r, ensuring that the units are properly accounted for. The final calculation confirms the relationship between potential energy and the distance between charges.

PREREQUISITES
  • Coulomb's Law and its applications
  • Understanding of electric potential energy
  • Basic algebra for manipulating equations
  • Familiarity with microcoulombs as a unit of charge
NEXT STEPS
  • Study the derivation of Coulomb's Law and its implications in electrostatics
  • Learn about electric potential and its calculation in different configurations
  • Explore the concept of electric field and its relationship with charge distance
  • Practice solving problems involving multiple charges and potential energy
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators and anyone interested in understanding the principles of electric forces and potential energy calculations.

watabi
Messages
5
Reaction score
0

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?
 
Physics news on Phys.org
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} ##?
 

Similar threads

Replies
23
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
6
Views
10K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 7 ·
Replies
7
Views
38K
Replies
5
Views
2K
Replies
2
Views
2K
Replies
2
Views
1K