[Challenge Problem] The electric potential in a region of space is V = 100(x² - y²)V, where x and y are in meters. (a) Using your favorite plotting program, construct a (two-dimensional) contour map of the potential, showing and labeling the -400 V, -100 V, 0 V, +100 V, and +400 V equipotential surfaces. (b) Find an expression for the electric field E at position (x, y). (c) Using your favorite plotting program, draw the electric field lines (or electric field vectors) on the same plot as the equipotential surfaces. Comment on the results.

[Challenge Problem] The electric potential in a region of space is V = 100(x² - y²)V, where x and y are in meters. (a) Using your favorite plotting program, construct a (two-dimensional) contour map of the potential, showing and labeling the -400 V, -100 V, 0 V, +100 V, and +400 V equipotential surfaces. (b) Find an expression for the electric field E at position (x, y). (c) Using your favorite plotting program, draw the electric field lines (or electric field vectors) on the same plot as the equipotential surfaces. Comment on the results.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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.

Question

[Challenge Problem] The electric potential in a region of space is V = 100(x² - y²)V,
where x and y are in meters.
(a) Using your favorite plotting program, construct a (two-dimensional) contour map
of the potential, showing and labeling the -400 V, -100 V, 0 V, +100 V, and +400
V equipotential surfaces.
(b) Find an expression for the electric field E at position (x, y).
(c) Using your favorite plotting program, draw the electric field lines (or electric field
vectors) on the same plot as the equipotential surfaces. Comment on the results.

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