Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located at x = a + r (see figure on the right). (a) Find the electric field due to the charge Q at the location of (at x = a + r). (b) Find the electric force that Q exerts on q. Show that for the I Qq and limiting case r >> a, the force reduces to F %! a. 4Tɛ, r² explain why you achieve this result.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 94CP: A spherical lubber balloon carries a total charge Q distributed uniformly over its surface. At r=0 ,...
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Positive charge Q is distributed uniformly along
the x-axis from x = 0 to x = a. A positive point charge q is located
at x = a + r (see figure on the right).
(a) Find the electric field due to the charge Q at the location of
(at x = a + r).
(b) Find the electric force that Q exerts on q. Show that for the
I Qq
and
limiting case r >> a, the force reduces to F
%!
a.
4Tɛ, r²
explain why you achieve this result.
Transcribed Image Text:Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located at x = a + r (see figure on the right). (a) Find the electric field due to the charge Q at the location of (at x = a + r). (b) Find the electric force that Q exerts on q. Show that for the I Qq and limiting case r >> a, the force reduces to F %! a. 4Tɛ, r² explain why you achieve this result.
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