Problem 6-(10 points) Dielectric shell enclosing charge A point charge Q = 1.0[nC] exists at R₂ = (0,0,0) surrounded by free space. 1. (3 points) Determine E(Robs € R³) due to the point charge. (Hint: use either Coulomb's Law or Gauss's Law.) 2. (4 points) Now, a spherical shell with inner radius a = 1.0[m] and outer radius b = 2.0[m] and made from a dielectric material with €, = 5 is added and centered around the charge. The dielectric is charge-free. Determine the electric field inside the dielectric shell (Ē (a < Tobs < b)). (Hint: use the normal electric boundary condition) 3. (3 points) Determine the electric field outside the dielectric shell (Ē(robs > b)). (Hint: use the normal electric boundary condition)

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