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the outer hemisphere is -Q. sordinate r (a

the outer hemisphere is -Q. sordinate r (a

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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a A capacitor is formed from two hemispheres with radii a and b (a < b). Assume that these two radii are very close to each other so that the following are valid approximations. • Charge on each hemisphere is distributed uniformly over the surface of the hemisphere. • The electric field between the hemispheres is radial and its magnitude depends only on the radial coordinate r. • The electric field outside the hemispheres is negligible. Suppose that when the capacitor is charged, the charge on the inner hemisphere is Q and the charge on the outer hemisphere is –Q. (a) Let E be the radial component of the electric field between the hemispheres for a point with radial coordinate r (a <r < b). Find E. (Coding note: eg =epsilon0.) E (b) Find the potential difference, V = V(a) – V(b), between the hemispheres. V (c) Find the capacitance C of the hemispherical capacitor.
Transcribed Image Text:a A capacitor is formed from two hemispheres with radii a and b (a < b). Assume that these two radii are very close to each other so that the following are valid approximations. • Charge on each hemisphere is distributed uniformly over the surface of the hemisphere. • The electric field between the hemispheres is radial and its magnitude depends only on the radial coordinate r. • The electric field outside the hemispheres is negligible. Suppose that when the capacitor is charged, the charge on the inner hemisphere is Q and the charge on the outer hemisphere is –Q. (a) Let E be the radial component of the electric field between the hemispheres for a point with radial coordinate r (a <r < b). Find E. (Coding note: eg =epsilon0.) E (b) Find the potential difference, V = V(a) – V(b), between the hemispheres. V (c) Find the capacitance C of the hemispherical capacitor.
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