A uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. The equation for the electric field dE at point P due to the thin slice of the rod dx in terms of the variables Q, L, x, a, dx, and coulombs constant k is: dE=kQdx / (L (a-x)^2). 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. Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged rod if L = 2.2m, Q=8.5 μC and a = 1.1m.

A uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. The equation for the electric field dE at point P due to the thin slice of the rod dx in terms of the variables Q, L, x, a, dx, and coulombs constant k is: dE=kQdx / (L (a-x)^2). 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. Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged rod if L = 2.2m, Q=8.5 μC and a = 1.1m.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 18P

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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 uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a
total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. The equation
for the electric field dE at point P due to the thin slice of the rod dx in terms of the
variables Q, L, x, a, dx, and coulombs constant k is: dE=kQdx/ (L (a-x)^2).
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.
Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the
charged rod if L = 2.2m, Q=8.5 µC and a = 1.1m.
dx

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A uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. Write an equation for the electric field dE at point P due to the thin slice of the rod dx. Give the answer is terms of the variables Q, L, x, a, dx, and coulombs constant k. 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. Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged rod if L = 2.2m, Q = 8.5 μC and a = 1.1m.