A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -6e-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. h j zero magnitude (a) What is the length of one of these pieces? e = 0.1625 v m (b) What is the location of the center of piece number 7? (0, – 0.56875,0) m. (C) How much charge is on piece number 7? (Remember that the charge is negative.) -7.5e-9 v coulombs (d) Approximating piece 7 as a point charge, what is the electric field at location A due only to piece 7? Ê = - (-116.025, – 40.402,0) N/C

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A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -6e-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.
a
h
b
4
7.
j zero magnitude
(a) What is the length of one of these pieces?
l = 0.1625
m
(b) What is the location of the center of piece number 7?
(0, – 0.56875,0)
m.
(c) How much charge is on piece number 7? (Remember that the charge is negative.)
|-7.5e-9
V coulombs
(d) Approximating piece 7 as a point charge, what is the electric field at location A due only to piece 7?
(-116.025, – 40.402,0)
N/C
Transcribed Image Text:A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -6e-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. a h b 4 7. j zero magnitude (a) What is the length of one of these pieces? l = 0.1625 m (b) What is the location of the center of piece number 7? (0, – 0.56875,0) m. (c) How much charge is on piece number 7? (Remember that the charge is negative.) |-7.5e-9 V coulombs (d) Approximating piece 7 as a point charge, what is the electric field at location A due only to piece 7? (-116.025, – 40.402,0) N/C
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