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Electric Field of Concentric Spherical Shells

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Consider two concentric spherical shells with radii a and b (a < b). The inner and outer shells possess uniform surface charge densities of σ₁ and σ₂, respectively. Determine the magnitude of the electric field at a distance r from the common center, for the region where a < r < b.

A

E = (σ₁a²)/(ε₀r²)

B

E = (σ₁a² + σ₂b²)/(ε₀r²)

C

E = (σ₁a² - σ₂b²)/(ε₀r²)

D

E = (σ₂b² - σ₁a²)/(ε₀r²)

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