1. Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a. a) Find the value of Q (in terms of g), such that the electric field at the center of the square points down (i.e., it only has a -y component). Show all work and justify any assumptions you -29 a a/2 make. b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge -q placed at the center of the square. c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part).

1. Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a. a) Find the value of Q (in terms of g), such that the electric field at the center of the square points down (i.e., it only has a -y component). Show all work and justify any assumptions you -29 a a/2 make. b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge -q placed at the center of the square. c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part).

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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Concept explainers

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

1. Consider the four point charges shown in the figure on the right,
arranged on the edges of a square of side a.
a) Find the value of Q (in terms of g), such that the electric field
at the center of the square points down (i.e., it only has a -y
component). Show all work and justify any assumptions you
-29
a
a/2
make.
b) Assuming Q has the value found in part (a), find the force
exerted by the four corner charges on a fifth charge -q placed
at the center of the square.
c) Also using the result from (a), find the electric field at point
P (shown in the figure) created by the four corner charges
(there is no charge at the center of the square for this part).

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The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. 1a. Given the oil drop to be 0.99 μm in radius and have a density of 910 kg/m3: Find the weight of the drop. 1b.If the drop has a single excess electron, find the electric field strength needed to balance its weight. This is not and will not be graded
Please answer all parts.
Consider the four point charges shown in the figure on the right, arranged on the edges of a square of side a.a) Find the value of Q (in terms of q), such that the electric field at the center of the square points down (i.e., it only has a –y component). Show all work and justify any assumptions you make.b) Assuming Q has the value found in part (a), find the force exerted by the four corner charges on a fifth charge −q placed at the center of the square.c) Also using the result from (a), find the electric field at point P (shown in the figure) created by the four corner charges (there is no charge at the center of the square for this part).
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