The diagram shows a one-dimensional line charge. The top half is some distance L from the axis and is L long. The bottom half is also L long and L from the axis. The top half has a positive charge density A=20µC/m. The bottom half has the same charge density, but negative.

The diagram shows a one-dimensional line charge. The top half is some distance L from the axis and is L long. The bottom half is also L long and L from the axis. The top half has a positive charge density A=20µC/m. The bottom half has the same charge density, but negative.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section: Chapter Questions

Problem 28PQ: The electric field at a point on the perpendicular bisector of a charged rod was calculated as the...

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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.

Question

What is the magnitude of the x-component of the electric field at the origin. Let L = 3.3 m

The diagram shows a one-dimensional line charge. The top half is some distance L from the axis and is L long. The
bottom half is also L long and L from the axis. The top half has a positive charge density A = 20/C/m. The bottom
half has the same charge density, but negative.
negative rod
positive rod

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Step 3: Electric field at origin due to positive rod:

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Step 4: Electric field at origin due to negative rod:

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Step 5: Calculation of the magnitude of the x-component of the electric field at the origin:

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