Electric potential generated by an hemispherical charge distribution

In summary, electric potential is a measure of the work needed to move a unit charge within an electric field. The electric potential generated by a hemispherical charge distribution is a result of the distribution of charged particles on the surface of the hemisphere, and is affected by the amount and distribution of charge as well as the distance from the center. It can be calculated using the equation V = kQ/r, and has applications in fields such as electrical engineering, physics, and materials science.
  • #1
popbatman
6
0
I need the electric potential generate by an hemuspherical constant charge density along the axis normal to the plane surface of the distribution an passing for the center of the hemisphere.

In practice i have to solve the integral:

∫1/|x-x'| d^3x' over the volume occupied by the distribution.

how to do?
 
Physics news on Phys.org
  • #2
Welcome to PF;
Cut the hemisphere into circular slices - work out the field due to each slice. Helps to use polar coordinates.
 

FAQ: Electric potential generated by an hemispherical charge distribution

What is electric potential?

Electric potential is a measure of the amount of work needed to move a unit charge from one point to another within an electric field.

How is electric potential generated by a hemispherical charge distribution?

The electric potential generated by a hemispherical charge distribution is a result of the distribution of charged particles on the surface of the hemisphere. As these charged particles exert forces on each other, they create an electric field that can be measured as an electric potential.

What factors affect the electric potential of a hemispherical charge distribution?

The electric potential of a hemispherical charge distribution is affected by the amount and distribution of charge on the surface of the hemisphere, as well as the distance from the center of the hemisphere to the point at which the potential is being measured.

How can the electric potential of a hemispherical charge distribution be calculated?

The electric potential of a hemispherical charge distribution can be calculated using the equation V = kQ/r, where V is the electric potential, k is the Coulomb constant, Q is the total charge on the hemisphere, and r is the distance from the center of the hemisphere to the point at which the potential is being measured.

What are some real-world applications of understanding electric potential generated by a hemispherical charge distribution?

Understanding the electric potential generated by a hemispherical charge distribution can be useful in various fields such as electrical engineering, physics, and materials science. It can also be applied to designing and optimizing electronic devices, studying the behavior of electromagnetic fields, and understanding the properties of conductive materials.

Similar threads

Induced charge on a conducting sphere sliced by a plane
Replies
2
Views
625
Investigating the Charge Distribution on a Bulging Sphere
Replies
18
Views
2K
Uneven charge distribution on a conductor
Replies
17
Views
2K
Potential and Electric Field near a Charged CD Disk
Replies
2
Views
1K
Use of imaginary charge vs Gauss' law
Replies
12
Views
396
Why is electric field at the center of a charged disk not zero?
Replies
4
Views
2K
Please explain this suggested solution for the field inside a charged hollow sphere
Replies
17
Views
610
Determine the Electrical potential at a given point
Replies
7
Views
1K
Electric field due to a charged infinite conducting plate
Replies
8
Views
4K
Uniform charge density and electric potential
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top