• Support PF! Buy your school textbooks, materials and every day products Here!

What is the total energy of the point charge?

  • Thread starter meadow
  • Start date
  • #1
19
0
I need help with this question. I can't see the motion. I have

Consider a solid sphere of radius R with a charge Q distributed uniformly. Suppose that a point charge 'q' of mass 'm', with a sign opposite that of Q, is free to move within the solid sphere. Charge q is placed at rest on the surface of the solid sphere and released. Describe the subsequent motion. In particular, what is the period of the motion, and what is the total energy of the point charge?

HELP!
 

Answers and Replies

  • #2
If the charge is free to move through the sphere,the motion will be a simple harmonic one
with time period=T where T is given by
[tex]T=2 \pi \sqrt{\frac{4 \pi \epsilon_0 R^3 m}{Qq}}[/tex]
 
  • #3
Galileo
Science Advisor
Homework Helper
1,989
6
Assume the charge will not disturb the charge density of the sphere. Use Gauss' Law to find the electric field inside the sphere. I think it's obvious what your Gaussian surface should be.
After you've found the electric field as a function of position (or distance from the sphere), you can simply calculate the force acting on the charge and use Newton's Laws to find its motion.
 
  • #4
Energy of point charge is given by E where E is given by the expression that is written below
[tex]E=-\frac{Qq}{4 \pi \epsilon_0 R}[/tex]
 

Related Threads for: What is the total energy of the point charge?

  • Last Post
Replies
6
Views
325
Replies
0
Views
12K
  • Last Post
Replies
2
Views
580
Replies
3
Views
3K
Replies
1
Views
3K
Replies
2
Views
1K
Replies
10
Views
1K
Top