First example demonstrates the calculation of charge density induced on the surface of grounded metal sphere by point charge at some distance to it.
Geometry of the problem: center of the sphere at coordinates S=(0,0,0) radius R=1, charge q=1 at coordinates xyz=(0, 0, 3) .

Figure 1: Orto and iso projection views of charge density on the metal sphere induced by the point charge.

Figure 2: Charge density on the metal sphere with triangles edges visibility.

Figure 3: Electric field strength calculated using post-processing operation and visualized as density plot (alternative view in GUI).

Figure 4: Electric field strength density map visualized using displacement option which transforms it into the height map (relief).

Figure 5: Height map visualization of x component of the electric field.

Figure 6: Electric field visualized using field cones which are ideal for visualization of strength and direction of the field.

Figure 7: Hiding the metal sphere clearly demonstrates absence of the electric field inside it. This is the demonstration of ‘Faraday cage effect’ and the guarantee that the numerical solution is correct.

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