Problem Five. Now consider if the spherical insulator in problem Three (which has a radius R and a total charge Q on it) is surrounded by a conducting spherical shell with inner radius "a" and outer radius "2a." The conductor has a charge of 20 on it. 13. Find the charge remaining on the outer radius "2a" of the conductor. (A) 0 (B)-Q (C) Q (D) 70 (E) 30 14. Write an expression for the surface charge density on the inner surface of the conductor. (A) -Q 4π a² (B) Q 4π a² (C) -Q 75 8π a² (D) Σπαζ (E) 2a 20 πα
Problem Five. Now consider if the spherical insulator in problem Three (which has a radius R and a total charge Q on it) is surrounded by a conducting spherical shell with inner radius "a" and outer radius "2a." The conductor has a charge of 20 on it. 13. Find the charge remaining on the outer radius "2a" of the conductor. (A) 0 (B)-Q (C) Q (D) 70 (E) 30 14. Write an expression for the surface charge density on the inner surface of the conductor. (A) -Q 4π a² (B) Q 4π a² (C) -Q 75 8π a² (D) Σπαζ (E) 2a 20 πα
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:Problem Five. Now consider if the spherical insulator in problem
Three (which has a radius R and a total charge Q on it)
surrounded by a conducting spherical shell with inner radius "a"
and outer radius "2a." The conductor has a charge of 20 on it.
13. Find the charge remaining on the outer radius "2a" of the
conductor.
(A) 0
(B)-Q (C) Q
(D) 70
(E) 30
14. Write an expression for the surface charge density on the
inner surface of the conductor.
-Q
(A)
4π a²
(B)
Q
4π a²
(C)
-Q
8π a²
(D)
-Q
2πατ
a
(E)
2a
20
παζ
Transcribed Image Text:15. Write an expression for the surface charge density on the outer surface of the conductor.
Q
(A)
-Q
4π a²
(B)
(C)
30
16πα2
(D)
2πατ
For the region between the insulator and the conductor (R<r <a)...
16. Find the flux through a Gaussian surface.
(A) 0
(B) Q/&
Q
4πα?
17. Find the electric field.
(A) 0
(C) 7k,Q
(B)
For the region inside the conductor (a <r<2a)...
19. Find the electric field.
(A) 0
(B)
6k Q
18. Find the flux through a Gaussian surface.
(A) 0
(B) Q/E
(D)
9k₂Q
21. Find the electric field.
(A) 0
kQ2a³+5r³)
7a³r²
(C) - Q/&
20. Find the flux through a Gaussian surface.
(A) 0
(B) Q/&o
6k Q
(B)
For the region outside the conductor (r>2a)...
(C) - Q/&
(B)
(C)
)
(E)
8kQ
(C) - Q/E
7kQ
(C) 7h0
k₂Q(5a³ +7r³)
5a³r²
(D) 70/80
kQ(7a¹ +5r³)
2a³r²
8kQ
(D) 70/80
Q
D) 7k ₂0
(D)
(D) 70/80
3k Q
(D) 34,0
(C)
(E)
(E) 80/80
22. Now consider if the surrounding spherical shell is an insulator (rather than a conductor) but it still has
a charge of 20 uniformly distributed throughout it. Find the magnitude of the electric field in the
region (a <r<2a).
k.Q(7 a³ +2r³)
(A)
5a³r²
-30
16πα2
(E) 80/80
(E)
k₂Q(5a³ + 2r³)
7a³r²
kQ
k₂Q
(E) 30/80
kQ
(E)KO
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Step 1: Determine the charge at outer surface of shell
VIEWStep 2: Calculate the surface charge density of inner shell
VIEWStep 3: Calculate the surface charge density of outer shell
VIEWStep 4: Calculate the flux and electric field between insulator and conductor
VIEWStep 5: Calculate the flux and electric field within shell
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