Determine the polarizability of a wire segment.

  • Thread starter Thread starter Pepjag
  • Start date Start date
  • Tags Tags
    Wire
Click For Summary
The discussion revolves around calculating the polarizability of a short, thin copper wire segment influenced by a negatively charged spherical metal ball. The relevant equations include the electric field generated by the charge and the force on the induced charges at the wire's ends. Participants express frustration over the complexity of the variables involved, indicating difficulty in deriving values from the equations provided. The need for clarification and guidance on how to approach the problem is emphasized. Overall, the thread highlights challenges in applying theoretical concepts to practical homework problems in electrostatics.
Pepjag
Messages
9
Reaction score
0

Homework Statement



The center of the spherical metal ball of
radius R, carrying a negative charge -Q, is
located a distance r from the center of a short,
thin, neutral copper wire of length L. The
induced charges at the two ends of the wire is
±q. Determine the polarizability of the wire
segment which has a length L = 0.0105 m.

Homework Equations



E = k*2qL/r^3
F = qE
E(dipole) = k*2*alpha*E(sphere)/r^3

The Attempt at a Solution



I am given so many variables that I could not find a way to get any values from these equations.
 
Physics news on Phys.org
Bump, this question is driving me crazy, I would love some input.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
4
Views
904
Replies
14
Views
5K
  • · Replies 6 ·
Replies
6
Views
974
Replies
7
Views
1K
Replies
17
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 2 ·
Replies
2
Views
1K