A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -Se-08 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the x-axis extending to the right, the y-axis extending up, and the z-axis out of the page. I order to calculate the electric field at location A- < 0.7, 0, 0 > m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 18P
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A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -5e-08 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the x-axis extending to the right, the y-axis extending up, and the z-axis
out of the page. In order to calculate the electric field at location A = < 0.7, 0, 0 > m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece.
2
3
4
5
7
8
j zero magnitude
physPad
(a) What is the length of one of these pieces?
l = 0.1625
Operations
Symbols
(b) What is the location of the center of piece number 3?
Relations
C
X m.
Sets
Vectors
In
e
(c) How much charge is on piece number 3? (Remember that the charge is negative.)
Trig
-6.25e-09
coulombs
10"
log
Greek
Help
(d) Approximating piece 3 as a point charge, what is the electric field at location A due only to piece 3?
|미
o!
X N/C
(e) To get the net electric field at location A, we would need to calculate E due each of the 8 pieces, and add up these contributions. If we did that, which arrow above would best represent the direction of the net electric field at location A?
g
Transcribed Image Text:A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -5e-08 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the x-axis extending to the right, the y-axis extending up, and the z-axis out of the page. In order to calculate the electric field at location A = < 0.7, 0, 0 > m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece. 2 3 4 5 7 8 j zero magnitude physPad (a) What is the length of one of these pieces? l = 0.1625 Operations Symbols (b) What is the location of the center of piece number 3? Relations C X m. Sets Vectors In e (c) How much charge is on piece number 3? (Remember that the charge is negative.) Trig -6.25e-09 coulombs 10" log Greek Help (d) Approximating piece 3 as a point charge, what is the electric field at location A due only to piece 3? |미 o! X N/C (e) To get the net electric field at location A, we would need to calculate E due each of the 8 pieces, and add up these contributions. If we did that, which arrow above would best represent the direction of the net electric field at location A? g
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