An easy electrodynamics question, and yet

  • Thread starter Thread starter swindhspectrum
  • Start date Start date
  • Tags Tags
    Electrodynamics
Click For Summary
SUMMARY

The discussion revolves around a physics homework problem involving two identical conducting spheres with charges of 12.0 nC and 16.0 nC, placed 0.350 meters apart. The user incorrectly calculated the electric force between the spheres using Coulomb's Law, arriving at 0.000014 N. The error stemmed from misunderstanding the concept of equilibrium and significant digits in the calculation. After connecting the spheres with a conducting wire, the charges redistribute, leading to an average charge of 14.0 nC on each sphere, which must be considered for accurate force calculation.

PREREQUISITES
  • Coulomb's Law for calculating electric force
  • Understanding of electric charge and equilibrium in conductors
  • Concept of significant figures in scientific calculations
  • Basic principles of electrostatics
NEXT STEPS
  • Review Coulomb's Law and its application in electrostatics
  • Study charge redistribution in conductors and equilibrium states
  • Learn about significant figures and their importance in scientific calculations
  • Explore problems involving electric forces between charged objects
USEFUL FOR

Students studying physics, particularly those tackling electrostatics and electric forces, as well as educators looking for examples of common misconceptions in charge distribution and equilibrium.

swindhspectrum
Messages
9
Reaction score
0
My first homework assignment for griffiths is underway.
Here is a problem I can't figure out.

Q. Two identical conducting small spheres are placed with their centers
0.350 meters apart. One is given a charge of 12.0 nC and the other
is given a charge of 16.0 nC The spheres are connected by a
conducting wire. Find the electric force between the two after
equilibrium has occurred.

A. I used Coulombs Law to arrive at .000014 N. This is incorrect. My reasoning was that the conducting wire would allow electrons to redistribute themselves giving the two spheres the same charge which is the average of the two initial charges. I must not understand the concept of equilibrium correctly. I would ask the instructor but the faculty at my institution is on strike presently!

Any suggestions?
 
Physics news on Phys.org
Well, even given your assumption (which feels right to me), I don't get the same answer as you do - I'm different by some exponent of 10. Are you certain about your answer?

Also, I think there should be 3 significant digits in your answer.
 
You were right in that it was a problem with the number of significant digits used. The homework is submitted online and the site used is a bit touchy.
Thanks
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
6K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
6
Views
5K
Replies
3
Views
2K