5. Charge is distributed uniformly along the entire y-axis with a positive linear charge density Ay. A non- uniformly charged rod with linear charge density 2, = Bx², where B is a positive constant, is positioned along the positive x-axis, from x = a to x = b = 2a. Determine the electric field at a point x = a/2, on the x-axis. Your final answer should be in terms of a, b, Ay, ß, and any necessary constants. To derive the electric field due to the infinite vertical charge distribution: first derive the e-field at the point of interest assuming the line is finite (extending from y = -L/2 to y = +L/2, then take the limit when L goes %3D to infinity.
5. Charge is distributed uniformly along the entire y-axis with a positive linear charge density Ay. A non- uniformly charged rod with linear charge density 2, = Bx², where B is a positive constant, is positioned along the positive x-axis, from x = a to x = b = 2a. Determine the electric field at a point x = a/2, on the x-axis. Your final answer should be in terms of a, b, Ay, ß, and any necessary constants. To derive the electric field due to the infinite vertical charge distribution: first derive the e-field at the point of interest assuming the line is finite (extending from y = -L/2 to y = +L/2, then take the limit when L goes %3D to infinity.
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Transcribed Image Text:5. Charge is distributed uniformly along the entire y-axis with a positive linear charge density ly. A non-
uniformly charged rod with linear charge density 1x = Bx², where ß is a positive constant, is positioned along
the positive x-axis, from x = a to x = b = 2a. Determine the electric field at a point x =
a/2, on the x-axis.
Your final answer should be in terms of a, b, Ay,ß, and any necessary constants.
To derive the electric field due to the infinite vertical charge distribution: first derive the e-field at the point of
interest assuming the line is finite (extending from y = -L/2 to y = +L/2, then take the limit when L goes
to infinity.
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