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(4r^{2}) |

Calculate enclosed charge q_{in} | q_{enc} = l | q_{enc} = A | |

Apply Gauss's law _{E} = q_{in} / to find E |

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