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A straight line segment of length 2L carries a positive linear charge density of +1 on the x- axis from x = -L to x = 0, and a negative linear charge density of - 1 on the x- axis from x = 0 to x = L %3D as shown below. a) What is the electric field a distance y above the midpoint of the line? Your answer should be in terms of the variables given and fundamental constants (i.e. 1, L, y, k) b) Considering the limits of your expression, do you think the electric field from this line will decrease more slowly, more quickly, or the same as that of a point monopole? Please provide some reasoning to support your answer.

A straight line segment of length 2L carries a positive linear charge density of +1 on the x- axis from x = -L to x = 0, and a negative linear charge density of - 1 on the x- axis from x = 0 to x = L %3D as shown below. a) What is the electric field a distance y above the midpoint of the line? Your answer should be in terms of the variables given and fundamental constants (i.e. 1, L, y, k) b) Considering the limits of your expression, do you think the electric field from this line will decrease more slowly, more quickly, or the same as that of a point monopole? Please provide some reasoning to support your answer.

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y -L +L +2 – -2
Transcribed Image Text:y -L +L +2 – -2
A straight line segment of length 2L carries a positive linear charge density of +1 on the x- axis from x = -L to x = 0, and a negative linear charge density of - 1 on the x- axis from x = 0 to x = L %3| as shown below. a) What is the electric field a distance y above the midpoint of the line? Your answer should be in terms of the variables given and fundamental constants (i.e. 2, L, y, k) b) Considering the limits of your expression, do you think the electric field from this line will decrease more slowly, more quickly, or the same as that of a point monopole? Please provide some reasoning to support your answer.
Transcribed Image Text:A straight line segment of length 2L carries a positive linear charge density of +1 on the x- axis from x = -L to x = 0, and a negative linear charge density of - 1 on the x- axis from x = 0 to x = L %3| as shown below. a) What is the electric field a distance y above the midpoint of the line? Your answer should be in terms of the variables given and fundamental constants (i.e. 2, L, y, k) b) Considering the limits of your expression, do you think the electric field from this line will decrease more slowly, more quickly, or the same as that of a point monopole? Please provide some reasoning to support your answer.
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