Potential of a dipole with actual physical extension?

In summary, a dipole with actual physical extension is a system of two opposite charges separated by a distance, characterized by its dipole moment. The potential of such a dipole is calculated using the equation V = kq/r, where V is the potential, k is the Coulomb constant, q is the magnitude of the charges, and r is the distance between them. The potential is directly proportional to the distance between the charges. The dipole moment determines the strength and direction of the electric field produced by the dipole. The orientation of the dipole affects its potential by changing the direction of the electric field, with maximum potential when the charges are aligned and minimum potential when they are anti-aligned.
  • #1
Gavroy
235
0
I think everybody here knows the equation that gives the potential of a point like dipole, but how does the field look like if you have e.g. a metal sphere with radius $R$ and a certain dipol moment, how does this potential look like?
 
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  • #2
If the surface charge varies like cos theta, the field outside will equal to that of an ideal dipole in the center of the sphere. Inside the sphere, the field is constant. Using Coulombs law it is easy to work out the actual field configuration.
 

1. What is a dipole with actual physical extension?

A dipole with actual physical extension refers to a system composed of two opposite charges separated by a distance. It is characterized by its dipole moment, which is the product of the magnitude of the charges and the distance between them.

2. How is the potential of a dipole with actual physical extension calculated?

The potential of a dipole with actual physical extension is calculated by using the equation V = kq/r, where V is the potential, k is the Coulomb constant, q is the magnitude of the charges, and r is the distance between them.

3. How does the distance between the charges affect the potential of a dipole with actual physical extension?

The potential of a dipole with actual physical extension is directly proportional to the distance between the charges. As the distance increases, the potential decreases and vice versa.

4. What is the significance of the dipole moment in a dipole with actual physical extension?

The dipole moment is a measure of the strength of a dipole with actual physical extension. It determines the magnitude and direction of the electric field produced by the dipole.

5. How does the orientation of a dipole with actual physical extension affect its potential?

The orientation of a dipole with actual physical extension affects its potential by changing the direction of the electric field. When the charges are aligned, the potential is at its maximum, and when they are anti-aligned, the potential is at its minimum.

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