A thin spherical insulating shell of radius R has uniform charge and potential V₀ at its surface. A small hole of area 4παR², where α ≪ 1, is made in the shell without affecting the remaining charge distribution. Which statement is correct?
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Question

A thin spherical insulating shell of radius R has uniform charge and potential V₀ at its surface. A small hole of area 4παR², where α ≪ 1, is made in the shell without affecting the remaining charge distribution. Which statement is correct?

Options

G1 Physics · Accepted Answer

Step 1: Use V = Σ[kqᵢ/rᵢ] for discrete charges or integrate dV = k dq/r for a continuous distribution. If a field is given, use ΔV = −∫𝐄·d𝐥. Step 2: Potential is a scalar, so contributions add algebraically. Step 3: Insert the stated distances/charge distribution and simplify. Final: A: V(center)/V(point at R/2 toward hole) = (1 − α)/(1 − 2α)..