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19 Nov 2019
In this problem we will consider a uniformly charged straight wire of length 2l which runs along the z-axis with its midpoint located at z = 0 as shown in the figure below. What is the electrostatic potential for points on the midplane of the wire (i.e. in the xy-plane)? Express your answer in cylindrical coordinates. In the xy-plane, what direction must the electric field point in? Use the symmetry of the problem to determine the direction of the E field. From the electrostatic potential you found in part (a), calculate the electric field E in the xy-plane.
In this problem we will consider a uniformly charged straight wire of length 2l which runs along the z-axis with its midpoint located at z = 0 as shown in the figure below. What is the electrostatic potential for points on the midplane of the wire (i.e. in the xy-plane)? Express your answer in cylindrical coordinates. In the xy-plane, what direction must the electric field point in? Use the symmetry of the problem to determine the direction of the E field. From the electrostatic potential you found in part (a), calculate the electric field E in the xy-plane.