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Consider a uniformly-charged radius- R insulating sphere with volume charge density ρ with an off-center spherical cavity of radius R/2 as shown to the right. What is the electric potential at point P assuming that the potential is zero infinitely away from the sphere? Hint: Consider the superposition of two spheres, one with a negative charge density. A. V = ρR24ϵ0 B. V = 7ρR224ϵ0 C. V = ρR23ϵ0 D. V = 0 E. None of the above.

Consider a uniformly-charged radius- R insulating sphere with volume charge density ρ with an off-center spherical cavity of radius R/2 as shown to the right. What is the electric potential at point P assuming that the potential is zero infinitely away from the sphere? Hint: Consider the superposition of two spheres, one with a negative charge density. A. V = ρR24ϵ0 B. V = 7ρR224ϵ0 C. V = ρR23ϵ0 D. V = 0 E. None of the above.

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  1. [4 points] Consider a uniformly-charged radius- R insulating sphere with volume charge density ρ with an off-center spherical cavity of radius R / 2 as shown to the right. What is the electric potential at point P assuming that the potential is zero infinitely away from the sphere? Hint: Consider the superposition of two spheres, one with a negative charge density. A. V = ρ R 2 4 ϵ 0 B. V = 7 ρ R 2 24 ϵ 0 C. V = ρ R 2 3 ϵ 0 D. V = 0 E. None of the above.

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