Problem 1 There is a sphere with radius R inside metallic spherical shell with inner radius a and outer radius b (See the figure). The sphere is charged with charge density p(r) = kr and metallic spherical shell is charged with total charge Q. Answer the following questions. r=a+b+R p = kr Q R b (1) Find the surface charge density at r = a and r = b. (2) Find the electric field, E(r) as a function of r. (3) Some scientist group reveals that the electric field at r= a + b +R is zero. Find the surface charge density of metallic spherical shell at r = b and find the Q/k.

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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.