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Sheet on a sphere **
Consider a large flat horizontal sheet with thickness x and volume charge density ρ. This sheet is tangent to a sphere with radius R and volume charge density ρ0, as shown in Fig. 1.38. Let A be the point of tangency, and let B be the point opposite to A on the top side of the sheet. Show that the net upward electric field (from the sphere plus the sheet) at B is larger than at A if ρ > (2/3)ρ0. (Assume x « R.)
figure 1.36
figure 1.37
B r
A
R
figure 1.38
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