A plastic rod 1.4 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. A j zero magnitude (a) What is the length of one of these pieces? m (b) What is the location of the center of piece number 2? m. (c) How much charge is on piece number 2? (Remember that the charge is negative.) coulombs
A plastic rod 1.4 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. A j zero magnitude (a) What is the length of one of these pieces? m (b) What is the location of the center of piece number 2? m. (c) How much charge is on piece number 2? (Remember that the charge is negative.) coulombs
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Transcribed Image Text:A plastic rod 1.4 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.
h
b
d
j zero magnitude
(a) What is the length of one of these pieces?
(b) What is the location of the center of piece number 2?
m.
(c) How much charge is on piece number 2? (Remember that the charge is negative.)
coulombs
(d) Approximating piece 2 as a point charge, what is the electric field at location A due only to piece 2?
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?
--Select--- v
Expert Solution
Step 1
The plastic rod, 1.4 m total in length, is rubbed with a piece of wool. Doing so, the plastic rod acquires a charge, by the transfer of the electrons from the wool to the rod, thus giving the plastic rod a charge of
As this rod acquires a negative charge, it will also radiate an electric field, that will be directed inwards towards the rod, since the charge is negative.
For simplicity reasons, the rod is divided into 8 equal small length elements, such that each length element behaves like a point charge.
And the charge on each such element will also be equally distributed, such that the total charge on the rod is divided into 8 equal point charges.
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