Surface Charge Density on a Conducting Shell
A hollow conducting spherical shell with inner radius a and outer radius b carries a total charge Q. A point charge q is placed at the shell’s center. Which of the following correctly states the surface charge densities on the inner and outer surfaces of the shell?
A
σᵢₙₙₑᵣ = q/(4πa²), σₒᵤₜₑᵣ = Q/(4πb²)
B
σᵢₙₙₑᵣ = 0, σₒᵤₜₑᵣ = (Q+q)/(4πb²)
C
σᵢₙₙₑᵣ = -q/(4πa²), σₒᵤₜₑᵣ = (Q+q)/(4πb²)
D
σᵢₙₙₑᵣ = -q/(4πa²), σₒᵤₜₑᵣ = Q/(4πb²)
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