A positive charge q is fixed at the point x=0, y=0 and a negative charge -2qis fixed at the point x=a,y=0. Part A Derive an expression for the potential V at points on the y-axis as a function of the coordinate y. Take V to be zero at an infinite distance from the charges. Express your answer in terms of the given quantities and appropriate constants. Part B At which positions on the y-axis is V= 0? Enter your answers numerically separated by commas. Part C What does the answer to part A become when y>>a?
A positive charge q is fixed at the point x=0, y=0 and a negative charge -2qis fixed at the point x=a,y=0. Part A Derive an expression for the potential V at points on the y-axis as a function of the coordinate y. Take V to be zero at an infinite distance from the charges. Express your answer in terms of the given quantities and appropriate constants. Part B At which positions on the y-axis is V= 0? Enter your answers numerically separated by commas. Part C What does the answer to part A become when y>>a?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
Section: Chapter Questions
Problem 46PQ
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Question
A positive charge q is fixed at the point x=0, y=0 and a negative charge -2q
is fixed at the point x=a,y=0.
Part A
Derive an expression for the potential V at points on the y-axis as a function of the coordinate y. Take V to be zero at an infinite distance from the charges. Express your answer in terms of the given quantities and appropriate constants.
Part B
At which positions on the y-axis is V= 0?
Enter your answers numerically separated by commas.
Part C
What does the answer to part A become when y>>a?
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