A strip of invisible tape 0.13 m long by 0.019 m wide is charged uniformly with a total net charge of 5 nC
(nano = 1 ✕ 10−9)
and is suspended horizontally, so it lies along thex axis, with its center at the origin, as shown in the figure below. Calculate the approximate electric field at location
0, 0.02, 0
m (location A) due to the strip of tape. Do this by dividing the strip into three equal sections, as shown in the figure below, and approximating each section as a point charge. (Assume each point charge is located at the center of the section it approximates. Express your answer in vector form.)
http://prntscr.com/9xvusu picture of the tape.
(a) What is the approximate electric field at A due to piece 1?
E = kq/r^2 rhat
The Attempt at a Solution
I did K * Q which is (9 * 10^9)* ((5/3) * 10 ^ -9)) which comes out to 15. Then I attempted to find r^2, which I believe would be (.02^2 + .13^2) and do 15 / .0173. Then I tried to multiply by the unit vector r <.98837, .15205, 0> to get <856.9697, 131.6415, 0> as my answer. I'm guessing there's some problem with how I'm calculating the r values since when I did part b (b) What is the approximate electric field at A due to piece 2?
it worked, but I was only managing the y component (.02m) since it was right below point A.
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