Consider stepwise application of Gauss's law in the following three cases.
System | Infinite line of charge | Infinite plane of charge | Uniformly charged solid sphere |
Figure | ![]() | ![]() | ![]() |
Identify the symmetry | Cylindrical | Planar | Spherical |
Determine the direction of ![]() | ![]() | ![]() | ![]() |
Divide the space into different regions | r > 0 | z > 0 and z < 0 | r ![]() ![]() |
Choose Gaussian surface | ![]() | ![]() | ![]() |
Calculate electric surface | ![]() ![]() | ![]() | ![]() ![]() |
Calculate enclosed charge qin | qenc = ![]() | qenc = ![]() | ![]() |
Apply Gauss's law ![]() ![]() | ![]() | ![]() | ![]() |
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