1. The figure to the right shows half of an infinitely long cylinder with radius a....

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1. The figure to the right shows half of an infinitely long cylinder with radius a. The half-cylinder has a constant areal (surface) charge density o on it. What is E, and Ex at the origin? b. Slice the half-cylinder into strips with charge per length då and width ds. Choose one of these strips, and draw the electric field AẼ at the origin due to då on the figure. Find the magnitude AE of this electric field? Express it in terms of a, o, and €9. c. What is the y-component AE, of AE? Express it in terms of a, o, 0, and Eo. d. Sum up the AE, due to each of the strips, and find Ey in terms of an integral. What is the limits of integration of this integral? e. What, then, is Ē at the origin? 1. The figure to the right shows half of an infinitely long cylinder with radius a. The half-cylinder has a constant areal (surface) charge density o on it. What is E, and Ex at the origin? b. Slice the half-cylinder into strips with charge per length då and width ds. Choose one of these strips, and draw the electric field AẼ at the origin due to då on the figure. Find the magnitude AE of this electric field? Express it in terms of a, o, and €9. c. What is the y-component AE, of AE? Express it in terms of a, o, 0, and Eo. d. Sum up the AE, due to each of the strips, and find Ey in terms of an integral. What is the limits of integration of this integral? e. What, then, is Ē at the origin?

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Solution NO O Given da ta A it we obsove th shape in the fig minutely we Can Ser that it is ... View the full answer