Question: The electric field due to a unit electric dipole oriented in the k-direction is E=gradient(z/r^3),where r=sqrt(x^2+y^2+z^2). Let er=r^-1 a) show that E=r^-3k-3zr^-4er b) calculate the

The electric field due to a unit electric dipole oriented in the k-direction is E=gradient(z/r^3),where r=sqrt(x^2+y^2+z^2). Let er=r^-1

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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