A line of charge with linear charge density, A, lies on the z axis over the range -L/2 < z < L/2. a. Calculate the electric field on the z axis – i.e. determine Ē(0,0, z) – for z > L/2. b. Obtain Ē(0,0, z) for z < –L/2 using whatever (rigorous) method you see fit to use. c. Evaluate Ē(0,0, z) for z >> L/2 to zeroth order in L/z.
A line of charge with linear charge density, A, lies on the z axis over the range -L/2 < z < L/2. a. Calculate the electric field on the z axis – i.e. determine Ē(0,0, z) – for z > L/2. b. Obtain Ē(0,0, z) for z < –L/2 using whatever (rigorous) method you see fit to use. c. Evaluate Ē(0,0, z) for z >> L/2 to zeroth order in L/z.
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Transcribed Image Text:A line of charge with linear charge density, A, lies on the z axis over the range -L/2 < z < L/2.
a. Calculate the electric field on the z axis – i.e. determine E(0,0, z) – for z> L/2.
b. Obtain E(0, 0, z) for z < - L/2 using whatever (rigorous) method you see fit to use.
c. Evaluate E(0,0, z) for z >> L/2 to zeroth order in L/z.
d. Evaluate the correction to the result in part c to the next power in L/z that yields a non-zero
contribution.
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