A spherical capacitor contains: Region1: solid spherical conductor (radius=0.5mm

Question

A spherical capacitor contains:
Region1: solid spherical conductor (radius=0.5mm, Q=7.4 micro coulombs)
Region2: surrounded by a dielectric material (er=1.8, radius extends to 1.2mm,
Region3: outer spherical non-conducting shell (variable charge per unit volume p = 5r, outer radius=2.0 mm)
Determine the electric field everywhere?
2. Relevant equations



Region 1: [1 r>r1] E = 0
Region 2: [r1 < r < r2] E = 7.4*10^-6 / (4 *? *1.8 * ? *r^2) = 3.71*10^4/r^2
Region 3: [r2 < r < r3] Q(r) = 5 ? (r4 ? r40) = 2.19*10^-10 .
E = ( 7.4*10^-6 + 2.19*10^-10) / (4 ? ?o) = 6.64*10^4
Total Electric Field = 3.71*10^4/r^2 + 6.64*10^4/r^2

Explanation / Answer

Region 1: [1 r>r1] E = 0 Region 2: [r1

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