Derive the expression for the electric field near an infinite line of charge with uniform charge density λ by integrating the Coulomb’s law field from every infinitesimal amount of charge along the line. This is a great op- portunity to use Mathematica to do the integral. If you get stuck, refer to Example 20.7 on pages 337-338 of the text. If you use Mathematica , attach a pdf copy of the notebook or copy the relevant sections to your writeup.
Derive the expression for the electric field near an infinite line of charge with uniform charge...
Derive the equation for electric field intensity due a uniform infinite line charge density ρl
10) The electric field from an infinite line charge is given by E = PL_A Derive this function through each of the three methods we discussed: Coulomb's Law, Gauss's Law, and Scalar Potential
Calculate the electric potential V at a distance r from an infinite line charge, density rho_t Coulombs per meter. From the potential calculate the electric field and show that the field is identical to what we derived in class You will find that difficulties will arise when integrating from -infinity to infinity to find V. Try this: calculate the potential and the field for a segment of line charge 2L meters long (i.e., integrate from -L to +L). Once the...