Gauss's Law  Problem 10:  A hollow non-conducting spherical shell has inner radius R1 = 8 cm and outer radius R2 = 13 cm. A charge Q = -45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 15 μC/m4. Part (b)  What is the radial electric field at the point r = 0.5R1? Given your answer in units of kN/C, and take the positive direction outwards.  Part (c)  What is the radial electric field at the point r = 0.5(R1+R2)? Give your answer in units of kN/C.   Part (d)  What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.

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