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Question:
Given an electric field in spherical coordinates given by E= A r âr V/m for r<1 m
E=0 for r>=1 m
(a) If the electrostatic potential V = 5 V at r=2 m, find the electrostatic potential V at r = 0
(b) Find the volume charge density ρv for all r.
(c) The electric field drops abruptly to zero at r= 1 m. This tells us that a surface charge exists on the spherical surface at radius r = 1 m.
Find the surface charge density ρs .
Hint: Gauss's Law is helpful here.
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