A plastic rod 1.8 m long is rubbed all over with wool, and acquires a charge of

Question

A plastic rod 1.8 m long is rubbed all over with wool, and acquires a charge of -2e-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.

The figure could be found at this site: http://www.webassign.net/mi3/16-051-Erod_8_pieces.jpg

What is the location of the center of piece 7?

Explanation / Answer

As there are 8 pieces each piece 1.8/8 m long

and half of the piece is 1.8/16 m long

So the mid point lie 2*(1.8/18) + 1.8/16 = 0.5625 m

BELOW THE ORIGIN

so the coordinates will be ( 0 , -0.5625 , 0)

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