An insulating sphere with radius R1 and density by uniformcharge Ï1 is placed in the center of a thin shell spherical withradius R2 and surface charge density uniform σ2. Here are the knownparameters: R1 = 0.2 m R2 = 0.6 m Ï1 = 6 µC / m3 E = 0 everywhereoutside the thin shell a) Using the Gauss theorem, calculate thevalue of the parameter σ2 in nC / m2 . b) Using the Gauss theorem,determine the expression of the electric field in the regionbetween the two objects, depending on the position r. c) From youranswer in b), calculate the potential difference V2 - V1. Hint:there are an integral to perform. d) Using the principle ofsuperposition of potentials (see TP solution of 4P5), calculate thepotential resulting on the surface of the insulating sphere, ieV1.
