1999E1. An isolated conducting sphere of radius a=0.20m is at a potential of −2,000V.
a. Determine the charge Q0 on the sphere.
The charged sphere is then concentrically surrounded by two uncharged conducting hemispheres of inner radius b=0.40m and outer radius c=0.50m, which are joined together as shown above, forming a spherical capacitor. A wire is connected from the outer sphere to ground, and then removed.
b. Determine the magnitude of the electric field in the following regions as a function of the distance r from the center of the inner sphere.
i. r<a
ii. a<r<b
iii. b<r<c
iv. r>c
c. Determine the magnitude of the potential difference between the sphere and the conducting shell.
d. Determine the capacitance of the spherical capacitor.