A non-uruform volume charge density fills a very large sphere and is given as ka

Question

A non-uruform volume charge density fills a very large sphere and is given as kappar-5/2 where the constant kappa is 2,50 Times 10-7 C/ The large sphere's radius can be considered to be at infinity. A very narrow small tube along the z-axis is in the sphere and a proton is released from rest at the radial position 2.73 m. The electric field inside the sphere and tube is the same as without the narrow rube present. Show that the electric potential for the sphere is given by the equation, V=4kappa/epsilon0 Find the final speed of the proton when it reaches infinity.

Explanation / Answer

for finding electric potential for first part.....since we have got E....so V or P ...i.e. electric potential is given by V=-dE/dr

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