A small rubber sphere of diameter 8 cm has a charge of 1.20 10-6 C distributed u

Question

A small rubber sphere of diameter 8 cm has a charge of 1.20 10-6 C distributed uniformly over its surface. It is placed at the origin of a region of space where the electric field is 80 N/C. a) What is the net electric field inside the rubber sphere? b) What is the net electric field at 50 cm on the positive x axis? The rubber sphere is replaced with a thin aluminum sphere of diameter 8 cm and a charge of 1.20 10-6 C on its surface. c) What is the net electric field inside the aluminum sphere? d) What is the net electric field at 50 cm on the positive x axis? e) Make a sketch of the charge distribution on the aluminum sphere.

Explanation / Answer

a) electric field inside the sphere = 80 N/C (because the sphere does not produce any electric field inside it and hence field will be due to the region field i.e 80 N/C) b) Electric filed at 50 cm , E1 = 9*10^9 * 1.2*10^-6/0.5^2 + 80 = 43200+80 = 43280 N/C c) electric field inside the aluminium sphere = 0 (because the field inside a conductor is zero, charge on the surface of the shpere will adjust such that they will produce 80 N/C electric field in the opposite direction of the region field and hence, net field inside will be zero d) Electric field at 50 cm , E2 = 9*10^9 * 1.2*10^-6/0.5^2 + 80 = 43200+80 = 43280 N/C

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