What is the inner radius of the spherical conductor?
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Question
![When a 13.8 kV potential difference is applied across two air-filled conductors of unknown shape,
the conductors carry equal amounts of opposite type charge, Q = 13.8 μC.
Plug-n-Chug (1 of 3)
(a) What is the capacitance of the capacitor?
C = 1 1 nF✔
(b) How much charge would the conductors carry if the potential difference between them was increased by a factor of 2.5?
Q = 34.5 34.5 HC✔
What If? (2 of 3)
Suppose the two conductors were concentric cylinders with an outer-to-inner radius ratio, R₂/R₁ = 1.2?
(c) How long is the cylindrical capacitor?
l = 3.28
3.28 m✔
What If? (3 of 3)
Suppose the two conductors were concentric spheres with an outer-to-inner radius ratio, R₂/R₁ = 1.2?
(d) What is the inner radius of the spherical conductor?
R₁
=
m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5aeaefbb-8161-4211-bb0a-b05d203dda3a%2F071fba2e-a941-48ba-a7fb-8add81cb8c92%2F98wader_processed.png&w=3840&q=75)
Transcribed Image Text:When a 13.8 kV potential difference is applied across two air-filled conductors of unknown shape,
the conductors carry equal amounts of opposite type charge, Q = 13.8 μC.
Plug-n-Chug (1 of 3)
(a) What is the capacitance of the capacitor?
C = 1 1 nF✔
(b) How much charge would the conductors carry if the potential difference between them was increased by a factor of 2.5?
Q = 34.5 34.5 HC✔
What If? (2 of 3)
Suppose the two conductors were concentric cylinders with an outer-to-inner radius ratio, R₂/R₁ = 1.2?
(c) How long is the cylindrical capacitor?
l = 3.28
3.28 m✔
What If? (3 of 3)
Suppose the two conductors were concentric spheres with an outer-to-inner radius ratio, R₂/R₁ = 1.2?
(d) What is the inner radius of the spherical conductor?
R₁
=
m
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