A non-conducting charged sheet and a non-conducting sphere (radius b) are arrang

Question

A non-conducting charged sheet and a non-conducting sphere (radius b) are arranged as shown in the figure. The right-most surface of the sheet is at x = 0 and the center of the sphere s on the x-axis at x = x0. The sheet has a positive uniform charge density sigma while the sphere is uniformly charged with total negative charge - q (where q tself is positive). Answer the following questions regarding the electric field E(x) and the electrostatic potential V(x). Using proper unit-vector notation, write down the appropriate expression for E(x) at point P. v(x)=-sigma/4E0 x2-kq/(x0-x) Determine whether the following potential V(x) gives the correct at point P: What must be so that it gives E(x) at point P and is also zero at the surface of the plane (i. e. , V(0) = 0)? Verify your answer with an appropriate integral.

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