A thin spherical shell of radius R₁ made of plastic carries a uniformly distributed negative charge -Q1. A thin spherical shell of radius R₂ made of glass carries a uniformly distributed positive charge +Q2. The distance between centers is L, as shown in the figure below. Plastic -₁ Glass +Q2 Edit R2B d (a) Find the potential difference VB - VA. Location A is at the center of the glass sphere, and location B is just outside the glass sphere. (Use the following as necessary: Q1, Q2, 0, L, d, and R2.) VB-VA= 4лε (L-R₁₂) (b) Find the potential difference Vc - VB. Location B is just outside the glass sphere, and location C is a distance d to the right of B. (Use the following as necessary: Q1, Q2, 0, L, d, and R2.) Q₁ 1 VC-VB = Απερ L-R₁, 1 L-R₁₂+d ☑ (c) Suppose the glass shell is replaced by a solid metal sphere with radius R2 carrying charge +Q2. Would the magnitude of the potential difference VB - Vд be greater than, less than, or the same as it was with the glass shell in place? Enter "greater", "less", or "the same".

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A thin spherical shell of radius R₁ made of plastic carries a uniformly distributed negative charge -Q1. A thin spherical shell of
radius R₂ made of glass carries a uniformly distributed positive charge +Q2. The distance between centers is L, as shown in the
figure below.
Plastic
-₁
Glass
+Q2
Edit
R2B
d
(a) Find the potential difference VB - VA. Location A is at the center of the glass sphere, and location B is just outside the glass
sphere. (Use the following as necessary: Q1, Q2, 0, L, d, and R2.)
VB-VA=
4лε (L-R₁₂)
(b) Find the potential difference Vc - VB. Location B is just outside the glass sphere, and location C is a distance d to the right of
B. (Use the following as necessary: Q1, Q2, 0, L, d, and R2.)
Q₁
1
VC-VB =
Απερ
L-R₁,
1
L-R₁₂+d
☑
(c) Suppose the glass shell is replaced by a solid metal sphere with radius R2 carrying charge +Q2. Would the magnitude of the
potential difference VB - Vд be greater than, less than, or the same as it was with the glass shell in place? Enter "greater", "less",
or "the same".
Transcribed Image Text:A thin spherical shell of radius R₁ made of plastic carries a uniformly distributed negative charge -Q1. A thin spherical shell of radius R₂ made of glass carries a uniformly distributed positive charge +Q2. The distance between centers is L, as shown in the figure below. Plastic -₁ Glass +Q2 Edit R2B d (a) Find the potential difference VB - VA. Location A is at the center of the glass sphere, and location B is just outside the glass sphere. (Use the following as necessary: Q1, Q2, 0, L, d, and R2.) VB-VA= 4лε (L-R₁₂) (b) Find the potential difference Vc - VB. Location B is just outside the glass sphere, and location C is a distance d to the right of B. (Use the following as necessary: Q1, Q2, 0, L, d, and R2.) Q₁ 1 VC-VB = Απερ L-R₁, 1 L-R₁₂+d ☑ (c) Suppose the glass shell is replaced by a solid metal sphere with radius R2 carrying charge +Q2. Would the magnitude of the potential difference VB - Vд be greater than, less than, or the same as it was with the glass shell in place? Enter "greater", "less", or "the same".
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