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24 August, 19:47

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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  1. 24 August, 21:17
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    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
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