Here’s one more model of an electron. Here e is the magnitude of the charge of an electron, and R is a constant parameter characterizing the electron’s size: rho=-e (105/4pi)r2(R-r)2/R7 , rho = 0 for r >R.  a. Use the problem's symmetry to evaluate the electric field at all points in space, it r >R and r

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Here’s one more model of an electron. Here e is the magnitude of the charge of an electron, and R is a constant parameter characterizing the electron’s size:

rho=-e (105/4pi)r2(R-r)2/R7 , rho = 0 for r >R. 

a. Use the problem's symmetry to evaluate the electric field at all points in space, it r >R and r<R.

b. Sketch the electric field magnitude versus r for all values of r.

d. evaluate the electric potential at all points in space and sketch its magnitude as a function of r. 

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