A solid conducting sphere of radius r = 1 cm is embedded at the boundary between a dielectric and air such that half of the sphere is in the dielectric and half is in the air. This conguration is shown in cross-section in the accompanying gure. The total charge on the sphere is 1 nC. Question 3 : A solid conducting sphere of radius r 1cm is embedded at the boundary between a dielectric and air such that half of the sphere is in the dielectric and h alf is in the air. This configuration is shown in cross-section in the accompanying figure. The total charge on the sphere is InC Region 1 Region 2 0 r2 (a) To solve part (b) you wl need to define a reference location and corresponding reference value for the electric potential Write those definitions here. (b) Find the potential of the sphere. (c) Find the capacit ance of the sphere. d) Find expressions giving E and D at all points of the spherical shell r 2cm. Use an origin at the centre of the sphere. Expect different expressions in different regions.) (e) Find the total charge on each half of the sphere.
A solid conducting sphere of radius r = 1 cm is embedded at the boundary between a dielectric and air such that half of the sphere is in the dielectric and half is in the air. This conguration is shown in cross-section in the accompanying gure. The total charge on the sphere is 1 nC.
Question 3 : A solid conducting sphere of radius r 1cm is embedded at the boundary between a dielectric and air such that half of the sphere is in the dielectric and h alf is in the air. This configuration is shown in cross-section in the accompanying figure. The total charge on the sphere is InC Region 1 Region 2 0 r2 (a) To solve part (b) you wl need to define a reference location and corresponding reference value for the electric potential Write those definitions here. (b) Find the potential of the sphere. (c) Find the capacit ance of the sphere. d) Find expressions giving E and D at all points of the spherical shell r 2cm. Use an origin at the centre of the sphere. Expect different expressions in different regions.) (e) Find the total charge on each half of the sphere.
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