Problem 9:   A hollow non-conducting spherical shell has inner radius R1 = 5 cm and outer radius R2 = 13 cm. A charge Q = -35 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 = 16 μC/m4.  Part (a)  Write an equation for the radial electric field in the region r < R1 in terms of Q, r, and Coulomb's constant k. You may take the positive direction as outward.   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.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.