Consider the following configuration of point charges: Charge q at ~r1 = (0, 0, a); charge q at~r2 = (0, 0, −a); and finally charge −2q at ~r3 = (0, 0, 0); so a total of three point charges. Assumingthat V = 0 as |~r| → ∞, determine the electrostatic potential Vi) at a generic point on the x-axis. Discuss what happens when |x| a,ii) at a generic point on the z-axis. Discuss what happens when |z| a.iii) at a generic point P located at ~r making an angle 0 < θ < π with the positive z-axis. Discusswhat happens when |~r| a.b) Determine the electrostatic energy U stored in this configuration of charges.
Consider the following configuration of point charges: Charge q at ~r1 = (0, 0, a); charge q at~r2 = (0, 0, −a); and finally charge −2q at ~r3 = (0, 0, 0); so a total of three point charges. Assumingthat V = 0 as |~r| → ∞, determine the electrostatic potential Vi) at a generic point on the x-axis. Discuss what happens when |x| a,ii) at a generic point on the z-axis. Discuss what happens when |z| a.iii) at a generic point P located at ~r making an angle 0 < θ < π with the positive z-axis. Discusswhat happens when |~r| a.b) Determine the electrostatic energy U stored in this configuration of charges.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 22P
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Consider the following configuration of point charges: Charge q at ~r1 = (0, 0, a); charge q at
~r2 = (0, 0, −a); and finally charge −2q at ~r3 = (0, 0, 0); so a total of three point charges. Assuming
that V = 0 as |~r| → ∞, determine the electrostatic potential V
i) at a generic point on the x-axis. Discuss what happens when |x| a,
ii) at a generic point on the z-axis. Discuss what happens when |z| a.
iii) at a generic point P located at ~r making an angle 0 < θ < π with the positive z-axis. Discuss
what happens when |~r| a.
b) Determine the electrostatic energy U stored in this configuration of charges.
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