Consider eight charges at the corners of a cube with side length a, and its axes parallel to the Cartesian coordinate axes, and its center at the origin. a. If all eight charges have a value of q, evaluate the electric field along the x-axis, and explain its behavior as x goes to infinity. b. If the four charges where z= a/2 are +q and the other four are -q , evaluate the electric field along the x axis, and explain its behavior as x goes to infinity. c. Now consider having four +q and four -q charges, with each charge having its nearest neighbor have the opposite sign. Sketch this, evaluate the electric field along the x axis, and explain its behavior as x goes to inifinity.

Consider eight charges at the corners of a cube with side length a, and its axes parallel to the Cartesian coordinate axes, and its center at the origin. a. If all eight charges have a value of q, evaluate the electric field along the x-axis, and explain its behavior as x goes to infinity. b. If the four charges where z= a/2 are +q and the other four are -q , evaluate the electric field along the x axis, and explain its behavior as x goes to infinity. c. Now consider having four +q and four -q charges, with each charge having its nearest neighbor have the opposite sign. Sketch this, evaluate the electric field along the x axis, and explain its behavior as x goes to inifinity.

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 9CQ

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