Question

A strip of invisible tape 0.13 m long by 0.011 m wide is charged uniformly with a total net charge of 4 nC (nano = 1 ✕ 10−9) and is suspended horizontally, so it lies along the x 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.)

A strip of invisible tape 0.13 m long by 0.011 m wide is charged uniformly with a total net charge of 4 nC nano 1 x 10-9 and is suspended horizontally, so it lies along the 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.) (a) What is the approximate electric field at A due to piece 1? N/C (b) What is the approximate electric field at A due to piece 2? N/C (e) What is the approximate electric field at A due to piece 3? N/C (d) What is the approximate net electric field at A? Enet N/C (e) What could you do to improve the accuracy of your calculation? Use a larger charge for piece 2 than for pieces 1 and 3: since location A is closest to piece 2, this piece has the most significant contribution Use a smaller charge for piece 2 than for pieces 1 and 3: the actual electric field is similar to the field of a dipole, with most of the charge on the tape at the left and right ends Use just two sections: due to symmetry about the y-axis, the components of the fleld due to each charge will be half of the total electric field Use more sections: as the number of segments approaches infinity, the summation of the electric fields approximates the actual electric field. Additional Materials Section 152

Answer 1

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bislanes belwou oulte o stsp 2 and point A, 0.02 m 2. 2. (o.02) c) Eleetsic ドed al abput Y- z pane (ee 15 + 205 )s:15 1 2051.5) Enet