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 a and r a |
Choose Gaussian surface | |||
Calculate electric surface | E = E(2rl) | E = EA + EA = 2EA | E = = E(4r2) |
Calculate enclosed charge qin | qenc = l | qenc = A | |
Apply Gauss's law E = qin / to find E |
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