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23.21 - 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. (a) Show the positions of the charges in a diagram. (b) Derive an expression for the potential V at points on the x-axis as a func- tion of the coordinate x. Take V to be zero at an infinite distance from the charges. (c) At which positions on the x-axis is V = 0? d) Graph V at points on the x-axis as a function of x in the range from x = -2a to x = +2a. (e) What does the answer to part (b) become when x » a? Explain why this result is obtained.

23.21 - 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. (a) Show the positions of the charges in a diagram. (b) Derive an expression for the potential V at points on the x-axis as a func- tion of the coordinate x. Take V to be zero at an infinite distance from the charges. (c) At which positions on the x-axis is V = 0? d) Graph V at points on the x-axis as a function of x in the range from x = -2a to x = +2a. (e) What does the answer to part (b) become when x » a? Explain why this result is obtained.

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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. (a) Show the positions of the charges in a diagram. (b) Derive an expression for the potential V at points on the x-axis as a func- 23.21 • A tion of the coordinate x. Take V to be zero at an infinite distance from the charges. (c) At which positions on the x-axis is V = 0? (d) Graph V at points on the x-axis as a function of x in the range from x = -2a to x = +2a. (e) What does the answer to part (b) become when x >> a? Explain why this result is obtained.
Transcribed Image Text: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. (a) Show the positions of the charges in a diagram. (b) Derive an expression for the potential V at points on the x-axis as a func- 23.21 • A tion of the coordinate x. Take V to be zero at an infinite distance from the charges. (c) At which positions on the x-axis is V = 0? (d) Graph V at points on the x-axis as a function of x in the range from x = -2a to x = +2a. (e) What does the answer to part (b) become when x >> a? Explain why this result is obtained.
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