Calculating the electric potential

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SUMMARY

The discussion focuses on calculating the two point charges given their electric potential energy and total charge. The two charges are separated by 2.0 cm, with a total charge of 30 nanocoulombs and an electric potential energy of -180 microjoules. To solve for the individual charges, users must apply the equations for electric force and electric field, specifically F = kq1q2/r² and E = kq/r², and establish a system of equations based on the provided information.

PREREQUISITES
  • Understanding of Coulomb's Law and electric potential energy
  • Familiarity with the concepts of electric field and force
  • Basic algebra for solving systems of equations
  • Knowledge of units such as microjoules and nanocoulombs
NEXT STEPS
  • Study the derivation and application of Coulomb's Law in electrostatics
  • Learn how to calculate electric potential energy in different configurations
  • Explore systems of equations and methods for solving them
  • Investigate the implications of charge distribution on electric fields
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators and anyone interested in understanding electric potential and charge interactions.

ratnag93
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1. Two point charges 2.0cm apart have an electric potential energy -180 microjoules. The total charge is 30 nanocoulombs. What are the two charges?
Givens: change in postition = 0.02m , Q = 30nC = 3.0e-8C, V = -180 microjoules = 1.8e-4



Homework Equations


F = kq1q2/r^2
E = kq/r^2

The Attempt at a Solution


E1 = (9.00e5) (3.0e-8C)/(0.02m^2)...?
 
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the question is asking "What are the two charges?", so if we say that one of them has a charge "a" and the other a charge "b" .. then you are asked to find what is "a" and what is "b" ..

you are give r=2cm, electric potential= -180 microjoules, and a+b=30 nanocoulombs ..

hint: you are asked to find two unknows, so you will need two equations.. one of them is given as a+b=30 .. find another equation from the given quantities ..
 

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