Charging by Contact: Calculating Charge on a Sphere after Multiple Contacts

  • Thread starter Thread starter 9giddjl
  • Start date Start date
  • Tags Tags
    Electrostatics
Click For Summary
SUMMARY

The problem involves calculating the final charge on a small metal sphere after it contacts three other charged spheres. Initially, the sphere has a charge of -2Q and contacts sphere R (+Q), sphere S (+2Q), and sphere T (+3Q) sequentially. After each contact, the charges redistribute equally among the identical spheres. The final charge on sphere T, after all contacts, is determined to be +15/8 Q.

PREREQUISITES
  • Understanding of electrostatics and charge distribution
  • Familiarity with Coulomb's law and the formula F=kqQ/d^2
  • Knowledge of how to calculate net charge in conductive materials
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the principles of charge conservation in electrostatics
  • Learn about the behavior of conductive spheres in electrostatic interactions
  • Explore examples of charge redistribution through contact
  • Investigate advanced electrostatic concepts such as electric fields and potentials
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding charge interactions in conductive materials.

9giddjl
Messages
34
Reaction score
0
Electrostatics question, need help urgent!

Homework Statement


A small metal sphere carrying a charge of -2Q is first brought into contact with sphere R Which has a charge of +Q, and then into contact with sphere S which has a charge of +2Q, and finally into contact with sphere T which has a charge of +3Q. After making contact with the three spheres, in the stated order, the charge on the sphere at T is?


Homework Equations



F=kqQ/d^2

The Attempt at a Solution



Honestly, I've never learned how to do these sort of questions. I'd just like some insight on how to do these types of questions! any help is muchly appreciated ! please help, thankyou
 
Physics news on Phys.org


If the charged spheres are identical, the net charge will be shared equally by them. In the first case, after contact the net charge is -Q. So the charge on each sphere is - Q/2.
In similar way try the other cases.
 


Thank you. I understand how to do the question now. The answer is +15/8 Q.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
6
Views
2K
Replies
23
Views
5K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
8
Views
8K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 7 ·
Replies
7
Views
1K