The electric field due to a unit electric dipole oriented in the kdirection is E =

Chapter 17, Problem 27

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The electric field due to a unit electric dipole oriented in the kdirection is E = (z/r3), where r = (x2 + y2 + z2)1/2 (Figure 20). Let er = r1 x,y,z. (a) Show that E = r3k 3zr4er. (b) Calculate the flux of E through a sphere centered at the origin. (c) Calculate div(E). (d) Can we use the Divergence Theorem to compute the flux of E through a sphere centered at the origin?

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