Electrostatic Potential of a Charged Metallic Shell

In summary, the conversation discusses finding the charge on a charged metallic spherical shell with a given potential and radius, as well as calculating the potential on the surface of the shell. The equation V=kQ/r is used to solve for the charge, which is found to be 1.7E-8 Coulombs. The radius will be considered in the second part of the question.
  • #1
newyorkcity
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Homework Statement



Given a charged metallic spherical shell of radius a=2.75cm, with a potential of 2.5kV a distance of r=6.0cm from the center of the shell, what is the charge on the shell? Calculate the potential on the surface of the shell.

Homework Equations



V=kQ/r

The Attempt at a Solution



I am assuming that I should just insert values into the equation, so...

2500V = (8.99E9)(Q)/(.060m)
Q = 1.7E-8

Is this calculation correct? I am not sure if the radius of the shell needs to be considered. Also, am I using the right units and are the units of Q Coulombs?
 
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  • #2
Calculation is correct! Radius will be considered in the second part of the question.:smile:
 

Related to Electrostatic Potential of a Charged Metallic Shell

1. What is electrostatic potential?

Electrostatic potential, also known as electrostatic potential energy, is the amount of energy stored in an electric field due to the presence of electric charges. It is a measure of the work required to move a unit positive charge from one point to another in an electric field.

2. How is electrostatic potential different from electric potential?

Electric potential and electrostatic potential are two terms that are often used interchangeably. However, electric potential refers to the potential difference between two points in an electric field, while electrostatic potential refers to the potential energy associated with a single point charge in an electric field.

3. What is the unit of electrostatic potential?

The unit of electrostatic potential is the volt (V). It is equivalent to one joule per coulomb, which represents the amount of energy required to move one unit of electric charge (coulomb) between two points in an electric field.

4. How is electrostatic potential calculated?

Electrostatic potential is calculated by dividing the electrostatic potential energy by the unit charge. In mathematical terms, it can be written as V = U/Q, where V is the electrostatic potential, U is the electrostatic potential energy, and Q is the charge.

5. What are some real-life applications of electrostatic potential?

Electrostatic potential has many practical applications, including in electronic devices such as capacitors and batteries, as well as in power generation and distribution systems. It is also used in electrostatic precipitators to remove particles from a gas stream, and in electrostatic spraying for coating surfaces with paint or other materials.

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