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Consider the followingarrangement of two conducting hollow spheres with a point

ID: 1665791 • Letter: C

Question

Consider the followingarrangement of two conducting hollow spheres with a point charge ofQ0 = 4.50 C at the center. The inner sphere has aradius of 0.011 m and carries a net charge of Q1= -2.30C. The outer sphere has a radius of 0.041m and carries a netcharge of Q2 = 6.10 C. Consider the following arrangement of two conducting hollow spheres with a point charge ofQ0 = 4.50 ?C at the center. The inner sphere has aradius of 0.011 m and carries a net charge of Q1= -2.30?C. The outer sphere has a radius of 0.041m and carries a netcharge of Q2 = 6.10 ?C. Calculate the magnitude of the electric field at point A located at a distance 0.021 m from the center. Calculate the surface charge density on the outer surface of the outer sphere. Neglect the thickness of the sphere.

Explanation / Answer

0,021 m is smaller than 0,041m of the sphere. so the electric fieldat this point only caused by the inner sphere. E=kQ1/r^2=-4,49e7(V/m) Inside the outer sphere, the electric field is zero. So according to Guass'law, the inner surface of the sphere haveQ=-2,2C so the outer have 6,1+2,2=8,3C so the density =8,3C/40,041^2=393(C/m^2)