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) A -Q -A 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? dx dQ (b) What is the amount of charge do on the small piece of length dz?
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) A -Q -A 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? dx dQ (b) What is the amount of charge do on the small piece of length dz?
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 49P: Determine if approximate cylindrical symmetry holds for the following situations. State why or why...
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