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, 0.03, 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.) 2 E₁ = i A (a) What is the approximate electric field at A due to piece 1? i (b) What is the approximate electric field at A due to piece 2? i > N/C

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A strip of invisible tape 0.12 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, 0.03, 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?
Ē₁
A
E₂ = < i
(b) What is the approximate electric field at A due to piece 2?
E3 = < i
i
(c) What is the approximate electric field at A due to piece 3?
i
"
i
(d) What is the approximate net electric field at A?
E net = i
i
(e) What could you do to improve the accuracy of your calculation?
i
i
i
i
> N/C
> N/C
> N/C
> N/C
O Use just two sections: due to symmetry about the y-axis, the components of the field due to each charge will be half of
the total electric field.
O Use more sections: as the number of segments approaches infinity, the summation of the electric fields approximates
the actual electric field.
O 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.
O 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.
Transcribed Image Text:A strip of invisible tape 0.12 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, 0.03, 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? Ē₁ A E₂ = < i (b) What is the approximate electric field at A due to piece 2? E3 = < i i (c) What is the approximate electric field at A due to piece 3? i " i (d) What is the approximate net electric field at A? E net = i i (e) What could you do to improve the accuracy of your calculation? i i i i > N/C > N/C > N/C > N/C O Use just two sections: due to symmetry about the y-axis, the components of the field due to each charge will be half of the total electric field. O Use more sections: as the number of segments approaches infinity, the summation of the electric fields approximates the actual electric field. O 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. O 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.
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