6. A hollow spherical conductor, carrying a net charge +Q, has inner radius radius r₂ = 2r₁. At the center of the sphere is a point charge +Q/2. Q वात 12 r1

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6. A hollow spherical conductor, carrying a net charge +Q, has inner radius r₁ and outer
radius r₂ = 2r₁. At the center of the sphere is a point charge +Q/2.
12
(a) r>r₂
(b) r₁ <r<r₂2
(c) 0<r <r₁
r1
Determine the electric field strength, E, and the potential, V, as functions of r, (the
distance from the center) for the three regions: [Hint: Use Gauss' Law to find the
electric field. Also, think about what the charge must be on both the inside and outside
surface of the hollow conductor, it's not +Q/2!]
Transcribed Image Text:6. A hollow spherical conductor, carrying a net charge +Q, has inner radius r₁ and outer radius r₂ = 2r₁. At the center of the sphere is a point charge +Q/2. 12 (a) r>r₂ (b) r₁ <r<r₂2 (c) 0<r <r₁ r1 Determine the electric field strength, E, and the potential, V, as functions of r, (the distance from the center) for the three regions: [Hint: Use Gauss' Law to find the electric field. Also, think about what the charge must be on both the inside and outside surface of the hollow conductor, it's not +Q/2!]
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