1. A spherical capacitor that consists of an inner conducting sphere with a radius Rı surrounded by a concentric conducting spherical shell with an inner radius R2 and an outer radius R3 (Fig. 2). Assuming the system is floating (i.e. not grounded) with no net charge. The potentials at the surface with R1, R2 and R3 are O1, D2, and D3, and the charges at the surface with R1, R2 and R3 are Q1, Q2, and Q3 (a) determine the relationship between 01, 02, and O3 and the relationship between Qı, Q2, and Q3, (b) calculate the capacitance. Fig. 2
1. A spherical capacitor that consists of an inner conducting sphere with a radius Rı surrounded by a concentric conducting spherical shell with an inner radius R2 and an outer radius R3 (Fig. 2). Assuming the system is floating (i.e. not grounded) with no net charge. The potentials at the surface with R1, R2 and R3 are O1, D2, and D3, and the charges at the surface with R1, R2 and R3 are Q1, Q2, and Q3 (a) determine the relationship between 01, 02, and O3 and the relationship between Qı, Q2, and Q3, (b) calculate the capacitance. Fig. 2
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Transcribed Image Text:1. A spherical capacitor that consists of an inner conducting sphere with a radius R1 surrounded
by a concentric conducting spherical shell with an inner radius R2 and an outer radius R3
(Fig. 2). Assuming the system is floating (i.e. not grounded) with no net charge. The
potentials at the surface with R1, R2 and R3 are O1, D2, and D3, and the charges at the surface
with R1, R2 and R3 are Q1, Q2, and Q3
(a) determine the relationship between O1, 02, and O3 and the relationship between Q1, Q2,
and Q3,
(b) calculate the capacitance.
R
Fig. 2
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