2.What is E r at a point located at radius r= 4.70 cm, i.e. outside the outer sh

Question

2.What is Er at a point located at radius r= 4.70 cm, i.e. outside the outer shell?

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

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

A solid metal sphere of radius a= 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b= 3.80 cm and outer radius c= 4.30 cm. The inner sphere has net charge Q1= 4.30 microCoulombs, and the outer spherical shell has net charge Q2= -7.10 microCoulombs.

Explanation / Answer

a) E = kQ1/r^2 = 9e9*4.3e-6/0.035^ 2   = 3.15 * 10^8 N/C

b) E = k(Q1+Q2)/r^2 = 9e9*(4.3e-6-7.1e-6/0.047^2 ) = -1/224 * 10^7 N/C

C) sigma_b = Q1/A = -4.3 e-6/(4*3.1416*0.038 *0.038 ) = -2.37 * 10^-4 C/m2

d) sigma_c = (-7.1e-6+4.3e-6)/(4*3.1416*0.043*0.043) = - 1.2 * 10^-4 C/m2 -------------------------------------------------------------------------------------------------------------

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