According to Coulombs Law, the electrostatic field E atthe point r due to a charge q at
Chapter 19, Problem 36(choose chapter or problem)
According to Coulombs Law, the electrostatic field E atthe point r due to a charge q at the origin is given byE (r ) = qrr 3 .(a) Compute div E .(b) Let Sa be the sphere of radius a centered at the originand oriented outward. Show that the flux of Ethrough Sa is 4q.(c) Could you have used the Divergence Theorem inpart (b)? Explain why or why not.(d) Let S be an arbitrary, closed, outward-oriented surfacesurrounding the origin. Show that the flux ofE through S is again 4q. [Hint: Apply the DivergenceTheorem to the solid region lying between asmall sphere Sa and the surface S.]
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