University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 5, Problem 123AP
Calculate the electric field due to a uniformly charged rod of length L, aligned with the x-axis with one end at the origin; at a point P on the z-axis.
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For an electric dipole shown in the diagram the magnitude of charge q =78 μC. Find the value of the electric field at point P ( z>>d). Given that r(-) = 81 cm and r(+) = 66 cm.
Calculate the electric field due to a uniformly charged rod of length L, aligned with the x-axis with one end at the origin; at a point P on the z-axis.
Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin.
Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod?
Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod.
Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.
Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…
Chapter 5 Solutions
University Physics Volume 2
Ch. 5 - Check Your Understanding What would be different...Ch. 5 - Check Your Understanding What would be different...Ch. 5 - Check Your Understanding What is the electric...Ch. 5 - Check Your Understanding How would the strategy...Ch. 5 - Check Your Understanding How would the above limit...Ch. 5 - Check Your Understanding the electric field 100k...Ch. 5 - There are very large numbers of charged particles...Ch. 5 - Why do most objects tend to contain nearly equal...Ch. 5 - A positively charged It'd attracts a small piece...Ch. 5 - Two bodies attract each other electrically. Do...
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