An air-filled spherical capacitor is constructed with an inner-shell radius of 6.70 cm and an outer-shell radius of 15.0 cm. (a) Calculate the capacitance of the device. pF (b) What potential difference between the spheres results in a 4.00 μC charge on the capacitor? KV (c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor if it were to have the same capacitance as the spherical capacitor? cm

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
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An air-filled spherical capacitor is constructed with an inner-shell radius of 6.70 cm and an outer-shell radius of 15.0 cm.
(a) Calculate the capacitance of the device.
pF
(b) What potential difference between the spheres results in a 4.00 µC charge on the capacitor?
kV
(c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor if it were to have the same capacitance as the
spherical capacitor?
cm
Transcribed Image Text:An air-filled spherical capacitor is constructed with an inner-shell radius of 6.70 cm and an outer-shell radius of 15.0 cm. (a) Calculate the capacitance of the device. pF (b) What potential difference between the spheres results in a 4.00 µC charge on the capacitor? kV (c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor if it were to have the same capacitance as the spherical capacitor? cm
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