The electric field due to a unit electric dipole oriente
Question and Solution
The electric field due to a unit electric dipole oriented in the k-direction is E = ?(z/r3), where r = (x2 + y2 + z2)1/2
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The electric field due to a unit electric dipole oriented in the k-direction is E = ?(z/r3), where r = (x2 + y2 + z2)1/2 (Figure 20). Let er = r?1 x, y,z. (a) Show that E = r?3k ? 3zr?4er. (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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