) a) A finite line of charge with uniform charge density p extends along the z-axis between z=-L/2 and z=L/2, as shown i

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A A Finite Line Of Charge With Uniform Charge Density P Extends Along The Z Axis Between Z L 2 And Z L 2 As Shown I 1 (58.13 KiB) Viewed 45 times

) a) A finite line of charge with uniform charge density p extends along the z-axis between z=-L/2 and z=L/2, as shown in Figure A1a below. (0) (ii) Determine an expression for the differential electric field, de, at any point, P(r, 0, 0), on the x-y plane due to this line of charge. Using your result from (i), show that E can be defined as the following: р L/2 E = ar [V/m] 2περr r2 + (L/2)? If the line of charge now extends to infinity, provide a new expression for E, by using your result from (ii). Some useful identities: z= + L/2 dz ok = sin e R NIC NIE = cos e R R z Z Өо - = tane X P(r.0,0) dz Rcos de dz=r sec? e de Z=-1/2 Figure Ala