Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 2.1, Problem 2.1P

(a) Twelve equal charges,q, arc situated at the corners of a regular 12-sided polygon (for instance, one on each numeral of a clock face). What is the net forceon a test charge Q at the center?
(b) Suppose one of the 12 q’s is removed (the one at “6 o’clock”). What is the forceon Q? Explain your reasoning carefully.
(c) Now 13 equal charges,q, are placed at the corners of a regular 1 3-sidedpolygon. What is the force on a test charge Q at the center?
(d) If one of the 13 q‘s is removed, what is the force on Q? Explain your reasoning.

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Imagine you are out for a stroll on a sunny day when you encounter a lake. Unpolarized light from the sun is reflected off the lake into your eyes. However, you notice when you put on your vertically polarized sunglasses, the light reflected off the lake no longer reaches your eyes. What is the angle between the unpolarized light and the surface of the water, in degrees, measured from the horizontal? You may assume the index of refraction of air is nair=1 and the index of refraction of water is nwater=1.33 . Round your answer to three significant figures. Just enter the number, nothing else.

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