Shown in the figure below is a spherical shell of charge. The inner radius of the spherical shell is a and the outer radius is b. The total charge of the spherical shell is Q. Th are three regions indicated in the figure and you will find the electric field in each of these regions. Region I (r>b) Region II (b>r>a) Region III Q b Solid Insulating Spherical Shell with Charge Q Region I: (outside the shell, r > b)

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Shown in the figure below is a spherical shell of charge. The inner radius of the spherical shell is a and the outer radius is b. The total charge of the spherical shell is Q. There
are three regions indicated in the figure and you will find the electric field in each of these regions.
Region I
(r>b)
Region II
(b>r>a)
a
Region III
Q
b
Solid Insulating Spherical Shell with Charge Q
Region I: (outside the shell, r > b)
Transcribed Image Text:Shown in the figure below is a spherical shell of charge. The inner radius of the spherical shell is a and the outer radius is b. The total charge of the spherical shell is Q. There are three regions indicated in the figure and you will find the electric field in each of these regions. Region I (r>b) Region II (b>r>a) a Region III Q b Solid Insulating Spherical Shell with Charge Q Region I: (outside the shell, r > b)
Region I: (outside the shell, r > b)
• What is the formula for the area of the Gaussian surface? A =
• What is the formula for the charge inside? Qin
• What is the formula for the electric field? E =
Region II: (within the shell, b>r> a)
• What is the formula for the area of the Gaussian surface? A =
• What is the formula for the charge inside? Qin =
• What is the formula for the electric field? E =
Region III: (inside the hole, r < a)
• What is the formula for the electric field? E=
NOTE:
• Use & in your result.
• Do not use k in your result.
• The volume of a spherical shell is π [(router)³ - (inner)³]
3
Transcribed Image Text:Region I: (outside the shell, r > b) • What is the formula for the area of the Gaussian surface? A = • What is the formula for the charge inside? Qin • What is the formula for the electric field? E = Region II: (within the shell, b>r> a) • What is the formula for the area of the Gaussian surface? A = • What is the formula for the charge inside? Qin = • What is the formula for the electric field? E = Region III: (inside the hole, r < a) • What is the formula for the electric field? E= NOTE: • Use & in your result. • Do not use k in your result. • The volume of a spherical shell is π [(router)³ - (inner)³] 3
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