A thin rod lies on the z-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 to 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 a point charge. We have selected a typical piece, shown in red on the diagram. (0, y,0) C dx Use the following as necessary: z, y, dz, 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? A -Q (b) What is the amount of charge dQ on the small piece of length dz? dQ (c) What is the vector from source to observation location?
A thin rod lies on the z-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 to 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 a point charge. We have selected a typical piece, shown in red on the diagram. (0, y,0) C dx Use the following as necessary: z, y, dz, 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? A -Q (b) What is the amount of charge dQ on the small piece of length dz? dQ (c) What is the vector from source to observation location?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 73P: Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73....
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