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T. A student is trying to find the electric field the charged rocl creates at the point shown: Student: i just integrated rig and got:

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T. A student is trying to find the electric field the charged rocl creates at the point shown: Student: i just integrated rig and got: 1 J' do it _ 1 QR MED yZ + R2 ll'yz + R2 4H6\" 0,2 + RZJJIE Explain what is wrong about the student's reasoning. E: E. A charged rod of length L has charge density 1. At the ooim * shown in the gure to right, show that die x- and y y - components of the electric eld created by the rod are: E _ A r. and E _ 1 1 2 _ 411'En JIFHI: 3" _ one\" R W ' you may need the following integral: I. win 1 {n2 + :12)?\" _ - xiii? + o2 9. Athin rod with charge [2 and length I. has a uniform charge distribution throughout. You want to find the strength of the eiectrlc eld a point P, a L distance or from the end of the rod, as shown, but first you need to define a coordinate system. a. Using the point P as the origin of your coordinate system, 1ilrl'ite an integral to determine the strength of the electric eld at P and evaluate that integral. b. Using the end of the rod {either e-ndi as the origin of your coordinate system, Iiiilrite an Integral to determine the strength of the electric eld at P and evaluate that integral. is your final result consistent with part a

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