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An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the...

An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the center of a thin shell spherical with radius R2 and surface charge density uniform σ2. Here are the known parameters: R1 = 0.2 m R2 = 0.6 m ρ1 = 6 µC / m3 E = 0 everywhere outside the thin shell a) Using the Gauss theorem, calculate the value of the parameter σ2 in nC / m2 . b) Using the Gauss theorem, determine the expression of the electric field in the region between the two objects, depending on the position r. c) From your answer in b), calculate the potential difference V2 - V1. Hint: there are an integral to perform. d) Using the principle of superposition of potentials (see TP solution of 4P5), calculate the potential resulting on the surface of the insulating sphere, ie V1.

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