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A cross-section of a spherical capacitor is shown below. The charge on the inner sphere is + Q and on the spherical shell -Q. The radius of the inner sphere is "a" and the inner radius of the spherical shell is “b". a. Use Gauss' Law to show that the electric field in the region between two spheres is E = , where Q is the charge on the inner sphere and r is the radial distance from the center of the inner sphere. b. Use the Gauss' Law to show that the negative charge on the spherical shell is located on the inner surface of the shell. c. Calculate the electric potential difference between the inner sphere and outer spherical shell and the capacitance of the spherical capacitor. Express the answers in terms of Q, b and constants.

A cross-section of a spherical capacitor is shown below. The charge on the inner sphere is + Q and on the spherical shell -Q. The radius of the inner sphere is "a" and the inner radius of the spherical shell is “b". a. Use Gauss' Law to show that the electric field in the region between two spheres is E = , where Q is the charge on the inner sphere and r is the radial distance from the center of the inner sphere. b. Use the Gauss' Law to show that the negative charge on the spherical shell is located on the inner surface of the shell. c. Calculate the electric potential difference between the inner sphere and outer spherical shell and the capacitance of the spherical capacitor. Express the answers in terms of Q, b and constants.

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A cross-section of a spherical capacitor is shown below. The charge on the inner sphere is + Q and on the spherical shell -Q. The radius of the inner sphere is "a" and the inner radius of the spherical shell is "b". a. Use Gauss' Law to show that the electric field in the region between two spheres is E = where Q is the charge on the inner sphere and r is the radial distance from the center of the inner sphere. b. Use the Gauss' Law to show that the negative charge on the spherical shell is located on the inner surface of the shell. c. Calculate the electric potential difference between the inner sphere and outer spherical shell and the capacitance of the spherical capacitor. Express the answers in terms of Q, a b and constants.
Transcribed Image Text:A cross-section of a spherical capacitor is shown below. The charge on the inner sphere is + Q and on the spherical shell -Q. The radius of the inner sphere is "a" and the inner radius of the spherical shell is "b". a. Use Gauss' Law to show that the electric field in the region between two spheres is E = where Q is the charge on the inner sphere and r is the radial distance from the center of the inner sphere. b. Use the Gauss' Law to show that the negative charge on the spherical shell is located on the inner surface of the shell. c. Calculate the electric potential difference between the inner sphere and outer spherical shell and the capacitance of the spherical capacitor. Express the answers in terms of Q, a b and constants.
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