A solid metal sphere of radius a= 1.30 cm is surrounded by a concentric spherica

Question

A solid metal sphere of radius a= 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b= 2.50 cm and outer radius c= 3.00 cm. The inner sphere has net charge Q1= 4.40 microCoulombs, and the outer What is the radial component of the electric field Er at a point located at radius r= 2.20 cm, i.e. between the two conductors? (Er is positive if E points outward, negative if E points inward.)
shell has net charge Q2= -7.80 microCoulombs.

a. What is Er at a point located at radius r= 3.40 cm, i.e. outside the outer shell?

b. What is the surface charge density, sigmab, on the inner surface of the outer spherical conductor?

c. What is the surface charge density, sigmac, on the outer surface of the outer spherical conductor?

Explanation / Answer

From Gass´ Law we have E(4pi r^2) = Qen / eo E = Qen / (4pi eo r^2) for r=1.6 cm E = (3.7E-6) / (4pi eo (1.6E-2)^2) = 1.3 E8 N/C for r = 2.8 cm E = (3.7E-6 - 7.3E-6) / (4pi eo (2.8E-2)^2) = -41E-6 N/C

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