A hollow metal sphere has inner radius a, outer radius b, and conductivity sigma

Question

A hollow metal sphere has inner radius a, outer radius b, and conductivity sigma. The current I is radially outward from the inner surface to the outer surface. Find an expression for the electric field strength inside the metal as a function of the radius r from the center. Express your answer in terms of the variables I, sigma, r, and appropriate constants. Evaluate the electric field strength at the inner surface of a copper sphere if 1.5cm and 21A. Express your answer to two significant figures and include the appropriate units. Evaluate the electric field strength at the outer surface of a copper sphere if 2.3cm and 21A. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

a)Electric field will be directed in radial direction (E=I/ (4pi r^2sigma))

b)E=21/(4*3.14* 5.96*(1.5*1.5)*1000) =0.00012468117 V/M

c) E=21/(4*3.14* 5.96*(2.3*2.3)*1000) =0.00005303074V/m

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