Find the electric potential V(r)

In summary, the conversation discusses a homework problem involving finding the electric potential in a space with a density charge. The problem is described in both English and Spanish. The person asking for help mentions their attempt at a solution and asks for guidance on how to take distance into account in the entire space. The person providing help suggests thinking of the charge as nested spherical shells with uniform charge density.
  • #1
Zamarripa
11
0
Hi, I have a homework of electromagnetism and I got stucked in a problem, can you help me, please?

1. Homework Statement

Find the electric potential V(r) in the space produced by a density charge

(rho) = (rho)0 e-(alpha) r

In spanish:
Enuentra el potencial V(r), en todo el espacio, producido por una densidad de carga:
(rho) = (rho)0 e-(alpha) r

Homework Equations

The Attempt at a Solution


I know that the electric potential produced by a density charge is the volume integral of the density charge by the magnitud of the distance between but I don't know how to take distance in all the space[/B]

 
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  • #2
Since the charge is spherically symmetric, think of it as nested spherical shells, each with a uniform charge density.
What do you know about the fields generated by such shells?
 

FAQ: Find the electric potential V(r)

What is electric potential?

Electric potential is the amount of work needed to move a unit of positive charge from one point to another in an electric field. It is measured in volts (V).

How is electric potential calculated?

Electric potential can be calculated using the formula V = kQ/r, where k is the Coulomb's constant, Q is the magnitude of the charge, and r is the distance from the charge.

What is the difference between electric potential and electric potential energy?

Electric potential is the amount of potential energy per unit of charge at a certain point in an electric field. Electric potential energy, on the other hand, is the potential energy that a charge possesses due to its position in an electric field.

What factors affect electric potential?

The electric potential at a point is affected by the magnitude and distribution of the charges in the electric field, as well as the distance from the point to the charges.

How can electric potential be used in practical applications?

Electric potential is used in various practical applications, such as in batteries, capacitors, and electric circuits. It is also utilized in medical devices, such as electrocardiograms and defibrillators.

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