A positive charge Q is uniformly distributed on a thin-walled spherical plastic shell (hollow sphere) with radius R, centered at point 1 in the origin of our coordinate system. A uniformly charged solid plastic sphere with the same radius and the op- posite total charge, -Q, is centered in point 4 on the positive x-axis at a distance L from the ori- gin. Point 2 on the outer surface of the positively charged hollow shell and point 3 on the surface of the negatively charged solid sphere face each other and mark the closest separation between the two plastic objects as shown in the schematic. +Q y 1 2 R L -Q 3 R X 1. [6pts] What is the potential difference (V4 - V₁) between points 1 and 4 due to the positively charged shell alone? 2. [6pts] Which of the following graphs best describes the electric potential V+(x) between points 1 and 4 due to the positively charged shell alone, assuming the convention that the potential is zero infinitely far from the charge? (Circle the letter A-F associated with the graph you choose.) V+ V+ A V+ C * 3 4 x v+ V+ * 3 4 1 2 E 3 x 4 x B D * x 3 4 * x 3 4 V+ 2 F: none of A-E, but this: (sketch correct curve below) 1 2 3 4 x
A positive charge Q is uniformly distributed on a thin-walled spherical plastic shell (hollow sphere) with radius R, centered at point 1 in the origin of our coordinate system. A uniformly charged solid plastic sphere with the same radius and the op- posite total charge, -Q, is centered in point 4 on the positive x-axis at a distance L from the ori- gin. Point 2 on the outer surface of the positively charged hollow shell and point 3 on the surface of the negatively charged solid sphere face each other and mark the closest separation between the two plastic objects as shown in the schematic. +Q y 1 2 R L -Q 3 R X 1. [6pts] What is the potential difference (V4 - V₁) between points 1 and 4 due to the positively charged shell alone? 2. [6pts] Which of the following graphs best describes the electric potential V+(x) between points 1 and 4 due to the positively charged shell alone, assuming the convention that the potential is zero infinitely far from the charge? (Circle the letter A-F associated with the graph you choose.) V+ V+ A V+ C * 3 4 x v+ V+ * 3 4 1 2 E 3 x 4 x B D * x 3 4 * x 3 4 V+ 2 F: none of A-E, but this: (sketch correct curve below) 1 2 3 4 x
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 52P: A long copper cylindrical shell of inner radius 2 cm and outer radius 3 cm surrounds concentrically...
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![A positive charge Q is uniformly distributed on a
thin-walled spherical plastic shell (hollow sphere)
with radius R, centered at point 1 in the origin of
our coordinate system. A uniformly charged solid
plastic sphere with the same radius and the op-
posite total charge, -Q, is centered in point 4 on
the positive x-axis at a distance L from the ori-
gin. Point 2 on the outer surface of the positively
charged hollow shell and point 3 on the surface of
the negatively charged solid sphere face each other
and mark the closest separation between the two
plastic objects as shown in the schematic.
+Q
y
1
2
R
L
-Q
3
R
X
1. [6pts] What is the potential difference (V4 - V₁) between points 1 and 4 due to the positively charged shell
alone?
2. [6pts] Which of the following graphs best describes the electric potential V+(x) between points 1 and 4 due
to the positively charged shell alone, assuming the convention that the potential is zero infinitely far from
the charge? (Circle the letter A-F associated with the graph you choose.)
V+
V+
A
V+
C
*
3 4
x
v+
V+
*
3 4
1 2
E
3
x
4
x
B
D
*
x
3
4
*
x
3 4
V+
2
F: none of A-E, but this:
(sketch correct curve below)
1
2
3
4
x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2F8838ebda-a32f-4d58-8921-049a7da81c09%2F52demk4_processed.png&w=3840&q=75)
Transcribed Image Text:A positive charge Q is uniformly distributed on a
thin-walled spherical plastic shell (hollow sphere)
with radius R, centered at point 1 in the origin of
our coordinate system. A uniformly charged solid
plastic sphere with the same radius and the op-
posite total charge, -Q, is centered in point 4 on
the positive x-axis at a distance L from the ori-
gin. Point 2 on the outer surface of the positively
charged hollow shell and point 3 on the surface of
the negatively charged solid sphere face each other
and mark the closest separation between the two
plastic objects as shown in the schematic.
+Q
y
1
2
R
L
-Q
3
R
X
1. [6pts] What is the potential difference (V4 - V₁) between points 1 and 4 due to the positively charged shell
alone?
2. [6pts] Which of the following graphs best describes the electric potential V+(x) between points 1 and 4 due
to the positively charged shell alone, assuming the convention that the potential is zero infinitely far from
the charge? (Circle the letter A-F associated with the graph you choose.)
V+
V+
A
V+
C
*
3 4
x
v+
V+
*
3 4
1 2
E
3
x
4
x
B
D
*
x
3
4
*
x
3 4
V+
2
F: none of A-E, but this:
(sketch correct curve below)
1
2
3
4
x
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