3. A spherical shell of a Van de Graff generator has an electric field of -10000

Question

3. A spherical shell of a Van de Graff generator has an electric field of -10000 N/C on the surface of its spherical shell R 10 cm in radius. The minus indicates a negative field direction pointing toward the center of the spheres a) Find the net charge on the shell. b) Find the flux of the electric field through a surface at r-15 cm around the shell of the generator. c) Find the flux of the electric field through a surface at r-30 cm around the shell of the generator. d) How are your answers for c) and d) related?

Explanation / Answer

a] Electric field E = kq/r^2 where q is charge, k Colombs constant, r is radius, E is electric field.

q = Er^2/k = -10000*0.10^2/9e9 = -1.11*10^-8 C

b] Flux = qenclosed/e0 = -1.11*10^-8/8.85e-12 = -1254 Nm^2/C

c]Flux = qenclosed/e0 = -1.11*10^-8/8.85e-12 = -1254 Nm^2/C

d] They both are same as charge enclosed is same.

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