Find the electric field in all four regions as a function

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Reference no: EM13963282

Consider a spherically symmetric configuration: A spherical charge distribution has radius R_A and *nonuniform* charge density rho(r) = rho_zero R_A / r. It is encircled by a conducting shell with inner radius R_B and outer radius R_C (R_A < R_B < R_C).

Therefore, there are four regions:

I. charged ball: 0 < r < R_A

II. gap (air) R_A < r < R_B

III. conductor R_B < r < R_C

IV. outside (air) r > R_C

a) Find the electric field in all four regions as a function of radius (E_I(r), E_II(r), E_III(r), and E_IV(r))

b) Find the electric potential in all four regions as a function of radius (V_IV(r), etc.) Take V=0 at infinite radius.

Note : R_A means R subscript A etc.

Reference no: EM13963282

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