24. Electric Force & Field; Gauss' Law
Coulomb's Law (Electric Force)
15:26 minutes
Problem 21.86
Textbook Question
Textbook QuestionA one-dimensional row of positive ions, each with charge +Q and separated from its neighbors by a distance d, occupies the right-hand half of the x axis. That is, there is a +Q charge at x = 0, x = +d , x = +2d , x = +3d , and so on out to ∞. (a) If an electron is placed at the position x = ― d, determine F, the magnitude of the electric force that this row of charges exerts on the electron. (b) If the electron is instead placed at x = ―3d , what is the value of F ? [Hint: The infinite sum ,
n=∞
∑ 1/n² = π² / 6 where n is a positive integer.]
n= 1
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