What is the inner radius of the spherical conductor?

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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
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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