A solid plastic sphere of radius R carries a uniformly distributed positive charge q. To the right of it, at a distance 2L, a thin spherical plastic shell carries the uniformly distributed negative charge -q. Both are located in the gap between two very large thin disks of area A that act as capacitor plates and carry uniformly distributed positive and negative charges +Q and Q as shown in the schematic. Note that the schematic is not to scale; the gap between the disks is much smaller than their radius, and we may assume that the solid sphere and the shell are far away from the edges of the disks. T d +9 /R NX 支 HX L (FXW) զ -Q, A +Q, A 1. [8pts] Calculate the (total) potential difference (V₁ - V3) between locations 1 and 3 indicated in the diagram. Do this by considering separately the influence of the solid sphere, spherical shell, and capacitor. 2. [8pts] Calculate the potential difference (V2 - V₁) between locations 2 and 1 indicated on the schematic. 3. [4pts] Find (V3 - V2).

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A solid plastic sphere of radius R carries a uniformly
distributed positive charge q. To the right of it, at
a distance 2L, a thin spherical plastic shell carries
the uniformly distributed negative charge -q. Both
are located in the gap between two very large thin
disks of area A that act as capacitor plates and carry
uniformly distributed positive and negative charges
+Q and Q as shown in the schematic. Note that
the schematic is not to scale; the gap between the
disks is much smaller than their radius, and we may
assume that the solid sphere and the shell are far away
from the edges of the disks.
T
d
+9
/R
NX
支
HX
L
(FXW)
զ
-Q, A
+Q, A
1. [8pts] Calculate the (total) potential difference (V₁ - V3) between locations 1 and 3 indicated in the diagram.
Do this by considering separately the influence of the solid sphere, spherical shell, and capacitor.
2. [8pts] Calculate the potential difference (V2 - V₁) between locations 2 and 1 indicated on the schematic.
3. [4pts] Find (V3 - V2).
Transcribed Image Text:A solid plastic sphere of radius R carries a uniformly distributed positive charge q. To the right of it, at a distance 2L, a thin spherical plastic shell carries the uniformly distributed negative charge -q. Both are located in the gap between two very large thin disks of area A that act as capacitor plates and carry uniformly distributed positive and negative charges +Q and Q as shown in the schematic. Note that the schematic is not to scale; the gap between the disks is much smaller than their radius, and we may assume that the solid sphere and the shell are far away from the edges of the disks. T d +9 /R NX 支 HX L (FXW) զ -Q, A +Q, A 1. [8pts] Calculate the (total) potential difference (V₁ - V3) between locations 1 and 3 indicated in the diagram. Do this by considering separately the influence of the solid sphere, spherical shell, and capacitor. 2. [8pts] Calculate the potential difference (V2 - V₁) between locations 2 and 1 indicated on the schematic. 3. [4pts] Find (V3 - V2).
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