An isolated conducting sphere of radius r1= 0.20m is at a potential of -2000V, with charge Qo. The charged sphere is then surrounded by an uncharged conducting sphere of inner radius r2= 0.40 m, and outer radius r3= 0.50m, creating a spherical capacitor.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1
An isolated conducting sphere of radius r1 = 0.20 m is at a potential of -2000V, with charge Qo.
The charged sphere is then surrounded by an uncharged conducting sphere of inner radius r2=
0.40 m, and outer radius r3 = 0.50m, creating a spherical capacitor.
(a) Draw a clear physics diagram of the problem.
(b) Determine the charge Qo on the sphere while its isolated.
(c) A wire is connected from the outer sphere to ground, and then removed. Determine
the magnitude of the electric field in the following regions:
R<r1;r1<R<r2 ;r2 <R<r3;r3<R
(d) Determine the magnitude of the potential difference between the sphere and the
conducting shell.
(e) Determine the capacitance of the spherical capacitor.
Transcribed Image Text:Problem 1 An isolated conducting sphere of radius r1 = 0.20 m is at a potential of -2000V, with charge Qo. The charged sphere is then surrounded by an uncharged conducting sphere of inner radius r2= 0.40 m, and outer radius r3 = 0.50m, creating a spherical capacitor. (a) Draw a clear physics diagram of the problem. (b) Determine the charge Qo on the sphere while its isolated. (c) A wire is connected from the outer sphere to ground, and then removed. Determine the magnitude of the electric field in the following regions: R<r1;r1<R<r2 ;r2 <R<r3;r3<R (d) Determine the magnitude of the potential difference between the sphere and the conducting shell. (e) Determine the capacitance of the spherical capacitor.
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