APFIVE 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. Another point charge q is placed at the center of this shell. Which statement correctly describes the surface charge densities?
A
σᵢₙₙₑᵣ = -q/(4πa²), σₒᵤₜₑᵣ = Q/(4πb²)
B
σᵢₙₙₑᵣ = q/(4πa²), σₒᵤₜₑᵣ = Q/(4πb²)
C
σᵢₙₙₑᵣ = 0, σₒᵤₜₑᵣ = (Q+q)/(4πb²)
D
σᵢₙₙₑᵣ = -q/(4πa²), σₒᵤₜₑᵣ = (Q+q)/(4πb²)
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