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the electrostatic force vector F for a system of unit charges is defined by vector F=(x^2+y^2+z^2)^n...

the electrostatic force vector F for a system of unit charges is defined by vector F=(x^2+y^2+z^2)^n (xi+yj+zk). where is an integer. Find (a) div vector F, (b) a scalar potential psi such that F =-delta psi. Leave your answer in terms of vector |r| where vector r=(xi+yj+zk).

the electrostatic force vector F for a system of unit charges is defined by vector F=(x^2+y^2+z^2)^n (xi+yj+zk). where is n an integer. Find (a) div vector F, (b) a scalar potential psi such that F =-delta psi. Leave your answer in terms of vector |r| where vector r=(xi+yj+zk).

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Homework Answers

Answer #1

(a) I have calculated the divergence in cartesian co-ordinates and then converted to spherical co-ordinates.

(b) This is also very straightforward question.

I have equated x-components in last part. You can also do this by equating y- and z- components.The answer would be same.

Hope you find it useful. Sorry for any calculation mistake. have a nice day :)

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