Potetial Difference between center and point r

In summary, the conversation discusses determining the potential difference between a point at distance r from the center of a cylindrical conductor and the center, given the conductor's length and radius and a charge Q. The suggested solution involves setting the potential at the origin to 0 and calculating the potential at distance r using the electric field and taking its negative integral.
  • #1
lordlarddallas
1
0

Homework Statement


A cylindrical conductor of length L and radius R, L » R, carries a charge Q. 1. Neglecting boundary effects; evaluate the potential difference between a point at distance r from the center of the cylinder, and the center. Assume r to be of the same order of magnitude as R but external to the cylinder.

Homework Equations

The Attempt at a Solution


I would set the potential at the origin equals to 0, then I would calculate the potential at a distance r by finding the electric field and taking the negative integral of it.
 
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  • #2
lordlarddallas said:
I would set the potential at the origin equals to 0, then I would calculate the potential at a distance r by finding the electric field and taking the negative integral of it.
Seems reasonable. Is that what you wanted to know?
 

Related to Potetial Difference between center and point r

1. What is the definition of potential difference?

Potential difference, also known as voltage, is the difference in electric potential between two points in an electric field. It is measured in volts (V) and is a measure of the energy per unit charge required to move a charge from one point to another.

2. How is potential difference related to electric current?

Potential difference is directly related to electric current. In fact, it is the driving force behind the flow of electric current. The greater the potential difference, the greater the flow of electric current.

3. What is the unit of measurement for potential difference?

The unit of measurement for potential difference is volts (V). However, in some cases, it may also be measured in other units such as joules per coulomb (J/C) or electron volts (eV).

4. How does potential difference affect the flow of electrons in a circuit?

Potential difference causes the flow of electrons in a circuit. When there is a potential difference between two points, electrons will flow from the point with higher potential to the point with lower potential, creating an electric current.

5. What is the significance of the potential difference between the center and point r?

The potential difference between the center and point r is important because it determines the strength of the electric field at that point. The greater the potential difference, the stronger the electric field and the more force it exerts on charged particles in that region.

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