V Due To Infinite Line of Point Charges

In summary, "V Due To Infinite Line of Point Charges" is the electric potential created by an infinite line of point charges. It is calculated using the formula V = kQ/λ and is significant in understanding electric fields in certain systems. While it cannot exist in real life, it serves as a useful model. The electric potential decreases along the line of point charges in an inverse relationship with distance.
  • #1
Kajayacht
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Homework Statement


An infinite number of point positive charges of 2.0 C each are arranged in the following linear configuration with a = 88 cm. Find the electric potential at the point 0 on the scale.

(link to image)
http://img232.imageshack.us/i/prob02.gif/

[URL]http://img232.imageshack.us/i/prob02.gif/[/URL]

Homework Equations



Sum of Geometric Series
S = a / (1-r)
Electric Potential
V = k*q / r

The Attempt at a Solution



S = .88 / (1-.5)
S = 1.76 m

V = 8.989e9 * 2 C / 1.76 m
V = 1.021 V which is wrong.

Any ideas what I'm doing wrong?
 
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  • #2
Nevermind, this should be in introductory physics :S Sorry guys lol
 

1. What is "V Due To Infinite Line of Point Charges"?

"V Due To Infinite Line of Point Charges" refers to the electric potential created by an infinite line of point charges, which is a theoretical concept used in physics and engineering to understand the behavior of electric fields in certain systems.

2. How is the electric potential calculated for an infinite line of point charges?

The electric potential for an infinite line of point charges is calculated using the formula V = kQ/λ, where k is the Coulomb constant, Q is the total charge of the line, and λ is the linear charge density (charge per unit length) of the line.

3. What is the significance of an infinite line of point charges in the study of electric fields?

An infinite line of point charges is a simplified model used to understand the behavior of electric fields in certain systems. It allows for easier calculations and provides insights into the overall behavior of electric fields in more complex systems.

4. Can an infinite line of point charges exist in real life?

No, an infinite line of point charges is a theoretical concept and cannot exist in real life. However, it is a useful model for understanding electric fields in certain systems.

5. How does the electric potential vary along an infinite line of point charges?

The electric potential decreases as the distance from the line of point charges increases. This decrease follows an inverse relationship, meaning the potential decreases as the distance increases, and vice versa.

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