A rod of length L = 0.55m is placed along the x-axis with its center at the origin. The rod has a non-uniform linear charge density of λ = k|x| C/m, where k = 1.65 X 10-12 C/m2 is a constant factor. What is the value of the potential at the point (0, yob) in volts if yob = 3.4m?

A rod of length L = 0.55m is placed along the x-axis with its center at the origin. The rod has a non-uniform linear charge density of λ = k|x| C/m, where k = 1.65 X 10-12 C/m2 is a constant factor. What is the value of the potential at the point (0, yob) in volts if yob = 3.4m?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 54PQ

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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A rod of length L = 0.55m is placed along the x-axis with its center at the origin. The rod has a non-uniform linear charge density of λ = k|x| C/m, where k = 1.65 X 10^-12 C/m² is a constant factor.

What is the value of the potential at the point (0, y_ob) in volts if y_ob = 3.4m?

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Step 1: Introduction :-

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Step 2: Potential due to elementary length :-

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Step 3: Potential due to whole rod :-

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Step 4: Calculation of value of potential

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