An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. d. Write your expression for the flux, and your expression for the charge inside the surface. e. Solve the Gauss's Law equation for E. f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.

An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. d. Write your expression for the flux, and your expression for the charge inside the surface. e. Solve the Gauss's Law equation for E. f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 34PQ: A very long line of charge with a linear charge density, , is parallel to another very long line of...

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d. Write your expression for the flux, and your expression for the charge inside the surface.

e. Solve the Gauss's Law equation for E.

f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.

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