Eof Uniformly Charged Thin RodIn vector form:Ey0140Qrr2L/ 22ˆrAt center planeCheck the results:DirectionUnitsSpecial case r>>L:Ey0140Qr2ˆrSpecial case 2: L>>r(very long rod)12Q/LˆEy040rr1/rdependence!Q/L– linear charge density2
Eof Uniformly Charged RodAt distance rfrom midpoint along a line perpendicular to the rod:E01Qˆry40rr2L/ 22FldFor very long rod:E142Q/Lˆr0rField at the ends:Numerical calculation3
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General Procedure for Calculating Electric Field of Distributed Charges1.Cut the charge distribution into pieces for which the field is known2.Write an expression for the electric field due to one piece(i) Choose origin(ii) Write an expression for ΔE and its components3.Add up the contributions of all the pieces(i) Try to integrate symbolically(ii) If impossible – integrate numerically4.Check the results:(i) Direction(ii) Units(iii) Special cases4