Electric Potential on the axis of a truncated cone

In summary, the electric potential on the axis of a truncated cone is the measure of electric potential energy per unit charge, calculated using the formula V = kQ/r. It is affected by charge distribution, distance from the center of the cone, and the dielectric constant of the material. As you move along the axis, the electric potential decreases according to the inverse square law. Studying this concept is significant in various practical applications and provides insight into the behavior of electric fields and charge distribution.
  • #1
Rasec98
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1.Data: We have an truncated cone with a volumentric charge density ρ, and it's uniform. The image show the truncated cone and show some info of the radios.

2. Question. We need to calculate the potential on the vertical axis.

note: adding an image of the problem but it's in spanish, hope someone knows the language...
 

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  • #2
Hi, @Rasec98 :welcome:

You have to show us some attempt of yours at the solution of the problem, it is against the rules of PF to give you the whole solution.

What is the general integral formula you know that gives the potential V, when the charge density ##\rho(\vec{r})## is known and given by the problem?
I believe you should work with cylindrical coordinates for this problem.
Write down the integral using cylindrical coordinates, and also carefully determine the domain of integration. Then perform the integration.
 
  • #3
This has to be posted in the homework forum, with the homework template filled out.

Posting an image of the question is already stretching the rules, having the question only in Spanish is definitely not acceptable. You have to translate the question to English and write it up in your post.

Thread closed.
 

FAQ: Electric Potential on the axis of a truncated cone

1. What is electric potential on the axis of a truncated cone?

The electric potential on the axis of a truncated cone is the measure of the electric potential energy per unit charge at any point on the axis of the cone. It is affected by the distribution of charge and the distance from the center of the cone.

2. How is the electric potential on the axis of a truncated cone calculated?

The electric potential on the axis of a truncated cone can be calculated using the formula V = kQ/r, where V is the electric potential, k is the Coulomb's constant, Q is the charge, and r is the distance from the center of the cone.

3. What factors affect the electric potential on the axis of a truncated cone?

The electric potential on the axis of a truncated cone is affected by the charge distribution, the distance from the center of the cone, and the dielectric constant of the material between the cone and the charge.

4. How does the electric potential change as you move along the axis of a truncated cone?

The electric potential on the axis of a truncated cone decreases as you move away from the center of the cone. This is because the distance from the charge increases, leading to a decrease in electric potential according to the inverse square law.

5. What is the significance of studying the electric potential on the axis of a truncated cone?

Understanding the electric potential on the axis of a truncated cone is important in many practical applications, such as designing electrical circuits, analyzing electric fields, and calculating the potential energy of charged particles. It also provides insight into the behavior of electric fields and the effects of charge distribution on electric potential.

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