What is the Charge of the Larger Sphere in Electrostatic Equilibrium?

  • Thread starter Thread starter conov3
  • Start date Start date
  • Tags Tags
    Charge Sphere
Click For Summary
SUMMARY

In the discussion, participants analyze the electrostatic equilibrium of two conducting spheres connected by a thin wire. The smaller sphere, with a diameter of 2.0 cm, carries a charge of 3.0 nC. The larger sphere, with a diameter of 9.0 cm, is determined to have a charge of 13.5 nC based on the ratio of their diameters. The formula for the potential at the surface of a charged conducting sphere is crucial for verifying the validity of this calculation.

PREREQUISITES
  • Understanding of electrostatic equilibrium
  • Knowledge of charge distribution in conductors
  • Familiarity with the formula for electric potential of a charged sphere
  • Basic algebra for solving ratios
NEXT STEPS
  • Study the formula for electric potential at the surface of a charged conducting sphere
  • Learn about charge distribution in connected conductors
  • Explore the principles of electrostatics in more complex systems
  • Investigate the effects of varying diameters on charge distribution
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators and anyone interested in understanding charge distribution in conducting materials.

conov3
Messages
33
Reaction score
0

Homework Statement



Two conducting spheres are connected by a thin wire and are in electrostatic equilibrium. The diameter of the smaller sphere is 2.0 cm and the diameter of the larger one is 9.0 cm. If the smaller sphere is found to be charged to 3.0 nC, what is the charge of the larger sphere?

Homework Equations



?

The Attempt at a Solution



2/3=9/x
x=13.5nC? Am i able to use this rule to find the charge
 
Physics news on Phys.org
conov3 said:

Homework Statement



Two conducting spheres are connected by a thin wire and are in electrostatic equilibrium. The diameter of the smaller sphere is 2.0 cm and the diameter of the larger one is 9.0 cm. If the smaller sphere is found to be charged to 3.0 nC, what is the charge of the larger sphere?

Homework Equations



?

The Attempt at a Solution



2/3=9/x
x=13.5nC? Am i able to use this rule to find the charge

Your result is correct.

You should verify that your 'rule' is valid. What is the formula for the potential at the surface of a charged conducting sphere?
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 21 ·
Replies
21
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
21
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K