E & M UNIT 08 - Inductance & Maxwell's Equations |

Inductance (including LR and LC circuits) |

(A) Students should understand the concept of inductance, so they can: |

(1) Calculate the magnitude and sense of the emf in an inductor through which a specified changing current is flowing. |

(2) Derive and apply the expression for the self-inductance of a long solenoid. |

(B) Students should understand the transient and steady state behavior of DC circuits containing resistors and inductors, so they can: |

(1) Apply Kirchhoff's rules to a simple LR series circuit to obtain a differential equation for the current as a function of time. |

(2) Solve the differential equation obtained in (1) for the current as a function of time through the battery, using separation of variables. |

(3) Calculate the initial transient currents and final steady state currents through any part of a simple series and parallel circuit containing an inductor and one or more resistors. |

(4) Sketch graphs of the current through or voltage across the resistors or inductor in a simple series and parallel circuit. |

(5) Calculate the rate of change of current in the inductor as a function of time. |

(6) Calculate the energy stored in an inductor that has a steady current flowing through it. |

Maxwell’s equations Students should be familiar with Maxwell’s equations so they can associate each equation with its implications. |