An infinitely long cylindrical insulating shell of inner radius a and outer radius b has a uniform volume charge density p. Determine the electric field everywhere.

Question

Physics

Orion Klein

21 August, 16:24

An infinitely long cylindrical insulating shell of inner radius a and outer radius b has a uniform volume charge density p. Determine the electric field everywhere.

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Answers (1)

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Ingrid Oneal · Answer 1

Answer: The electric field is: a) r
c) r>b E=ρ b (b-a) / r*εo

Explanation: In order to solve this problem we have to use the Gaussian law in diffrengios regions.

As we know,

∫E. dr = Qinside/εo

For rQinside=0 then E=0

for a
E*2π*r*L = Q inside/εo in this case Qinside = ρ. Vol=ρ*2*π*r * (r-a) * L

E*2π*r*L = ρ*2*π*r * (r-a) * L/εo

E=ρ * (r-a) / εo

Finally for r>b

E*2π*r*L = ρ*2*π*b * (b-a) * L/εo

E=ρ*b * (b-a) * / r*εo