A thin rod lies on the x-axis with one end at -A and the other end at A, as shown in the diagram. A charge of -Q is spread uniformly over the surface of the rod. We want to set up an integral t find the electric field at location < 0, y, 0 > due to the rod. Following the procedure discussed in the textbook, we have cut up the rod into small segments, each of which can be considered as point charge. We have selected a typical piece, shown in red on the diagram. (0, y, 0) -Q dx A Use the following as necessary: x, y, dx, A, Q. Remember that the rod has charge -Q. (a) In terms of the symbolic quantities given above and on the diagram, what is the charge per unit length of the rod? (b) What is the amount of charge dQ on the small piece of length dx? dQ = (c) What is the vector from source to observation location? F = (d) What is the distance from the source to the observation location? d = (e) When we set up an integral to find the electric field at the observation location due to the entire rod, what will be the integration variable?

A thin rod lies on the x-axis with one end at -A and the other end at A, as shown in the diagram. A charge of -Q is spread uniformly over the surface of the rod. We want to set up an integral t find the electric field at location < 0, y, 0 > due to the rod. Following the procedure discussed in the textbook, we have cut up the rod into small segments, each of which can be considered as point charge. We have selected a typical piece, shown in red on the diagram. (0, y, 0) -Q dx A Use the following as necessary: x, y, dx, A, Q. Remember that the rod has charge -Q. (a) In terms of the symbolic quantities given above and on the diagram, what is the charge per unit length of the rod? (b) What is the amount of charge dQ on the small piece of length dx? dQ = (c) What is the vector from source to observation location? F = (d) What is the distance from the source to the observation location? d = (e) When we set up an integral to find the electric field at the observation location due to the entire rod, what will be the integration variable?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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