Mass m oscillations with conductivity

In summary, a sphere with mass m and charge q is suspended on a thread of length l in a constant gravitational field g. There is an infinite horizontal conductive plane at potential 0, which creates an image charge of -q. This results in an additional force of attraction between charges, given by the equation F = mg + kq^2/(2d)^2, for small oscillations.
  • #1
diracdelta
55
0
Sphere of mass m, and charge q is hanged on a thread of length l in a constant gravitational field g.
There is infinite horizontal conductive plan which is kept at potential 0.
Find period of small oscillations of sphere.
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So my question is next, how do i get the force due tu charge q in Newtons equation.?
 
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  • #2
If the bottom surface is a conductor, then there will be an image change of -q. You basically treat the conductor like a mirror. So now in addition to gravity you have attraction between charges.

So the force on the sphere will roughly be:
F = mg + kq^2/(2d)^2
for small oscillations.
 
Last edited:

Related to Mass m oscillations with conductivity

1. What are mass m oscillations with conductivity?

Mass m oscillations with conductivity refer to the vibrations or movements of a body with a certain mass that also has the ability to conduct electricity.

2. How are mass m oscillations with conductivity measured?

Mass m oscillations with conductivity are typically measured using specialized equipment such as an oscilloscope or a conductivity meter. These devices can detect and record the movement and conductivity of the mass m.

3. What factors affect mass m oscillations with conductivity?

Several factors can affect mass m oscillations with conductivity, including the mass of the object, the material it is made of, the frequency of the oscillations, and the conductivity of the material.

4. What is the significance of studying mass m oscillations with conductivity?

Understanding mass m oscillations with conductivity can have practical applications in various fields such as material science, engineering, and physics. It can also help in the development of new technologies and products.

5. Can mass m oscillations with conductivity be controlled?

Yes, mass m oscillations with conductivity can be controlled through various methods such as adjusting the frequency or changing the material properties. This can be useful in specific applications where precise control over the oscillations is required.

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