Anonymous
Anonymous asked in Science & MathematicsPhysics · 8 months ago

uniform charge density?

A solid insulating sphere of radius R has a uniform charge density of ρ. Which of the following correctly determines the E-field at r from the center if r <R?

ρr/3εo

ρr/2εo

4ρr/3εo

ρr/4εo

1 Answer

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  • NCS
    Lv 7
    8 months ago

    See citation for derivation of

    field E = Q*r / (4πε₀R³)

    Since Q = ρ*(4π/3)R³

    we get

    E = ρ(4π/3)R³r / (4πε₀R³) = ρr / 3ε₀

    your first choice

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