Electromagnetism: Possible Trick Question?

  • Thread starter Thread starter Xyius
  • Start date Start date
  • Tags Tags
    Electromagnetism
Xyius
Messages
501
Reaction score
4
The nature of this problem seems like it is elementary E&M, but it is in my graduate electromagnetism class so I didn't know the proper section to post it.

Homework Statement


Two small conducting spheres have charges of 2x10^-9 C and -0.4x10^-9 C.

a.) When they are placed 4 cm apart what is the force between them?
b.) If they are brought into contact, and then separated by 4 cm, what is the force between them? [Note: Indicate attractive or repulsive force.]

Homework Equations


Coulombs Law I assume.

The Attempt at a Solution


It seems to me that you should treat these small spheres as point charges and simply use coulombs law to find the force. The tricky part is, how would bringing them together and then separating them change the force between them if they are the same distance apart?

The only thing I can think of is that for part A, you simply calculate the electrostatic force between the spheres, treating them as point charges. For part B I am thinking that the force between them might be zero because you would have to be pulling them apart with an equal an opposite force to keep them from coming into contact with each other. Does this seem too abstract? I can't imagine the answer to B being the same as the answer to A unless its a trick question!
 
Physics news on Phys.org
When they touch charge will be transferred (the spheres are conducting)
 
technician said:
When they touch charge will be transferred (the spheres are conducting)

Excellent point! I knew there was something to this problem..

Thanks!
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top