Problem 3 A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. (a) Show that the capacitance is ab k(b-a) when the space between the inner and outer spheres is empty. Start with our result from Gauss's law for the field outside a spherical charge distribution - you do not have to re-derive that, but please DO derive the potential difference between the spheres. PHY 205 Homework 6. Due March 1, 2023 3 (b) What is the capacitance if a = 0.1 m and b = 0.103 m? (c) What would the capacitance be if we filled the gap with Aluminum Oxide (and again, make a = 0.1 m and b = 0.103)? (d) Consider the limit when a and b are approximately equal (the shell wall is extremely thin.) What happens to the capacitance, mathematically? What is a physics explanation for this?
Problem 3 A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. (a) Show that the capacitance is ab k(b-a) when the space between the inner and outer spheres is empty. Start with our result from Gauss's law for the field outside a spherical charge distribution - you do not have to re-derive that, but please DO derive the potential difference between the spheres. PHY 205 Homework 6. Due March 1, 2023 3 (b) What is the capacitance if a = 0.1 m and b = 0.103 m? (c) What would the capacitance be if we filled the gap with Aluminum Oxide (and again, make a = 0.1 m and b = 0.103)? (d) Consider the limit when a and b are approximately equal (the shell wall is extremely thin.) What happens to the capacitance, mathematically? What is a physics explanation for this?
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...
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