E & M UNIT 06 - Magnetic Fields |

FORCES ON MOVING CHARGES IN MAGNETIC FIELDS |

(A) Students should understand the force experienced by a charged particle in a magnetic field, so they can: |

(1) Calculate the magnitude and direction of the force in terms of q, v, and, B, and explain why the magnetic force can perform no work. |

(2) Deduce the direction of a magnetic field from information about the forces experienced by charged particles moving through that field. |

(3) Describe the paths of charged particles moving in uniform magnetic fields. |

(4) Derive and apply the formula for the radius of the circular path of a charge that moves perpendicular to a uniform magnetic field. |

(5) Describe under what conditions particles will move with constant velocity through crossed electric and magnetic fields. |

FORCES ON CURRENT-CARRYING WIRES IN MAGNETIC FIELDS |

(A) Students should understand the force exerted on a current-carrying wire in a magnetic field, so they can: |

(1) Calculate the magnitude and direction of the force on a straight segment of current-carrying wire in a uniform magnetic field. |

(2) Indicate the direction of magnetic forces on a current-carrying loop of wire in a magnetic field, and determine how the loop will tend to rotate as a consequence of these forces. |

(3) Calculate the magnitude and direction of the torque experienced by a rectangular loop of wire carrying a current in a magnetic field. |

FIELDS OF LONG CURRENT-CARRYING WIRES |

(A) Students should understand the magnetic field produced by a long straight current-carrying wire, so they can: |

(1) Calculate the magnitude and direction of the field at a point in the vicinity of such a wire. |

(2) Use superposition to determine the magnetic field produced by two long wires. |

(3) Calculate the force of attraction or repulsion between two long current-carrying wires. |

BIOT-SAVART & AMPERE'S LAW |

(A) Students should understand the Biot-Savart Law, so they can: |

(1) Deduce the magnitude and direction of the contribution to the magnetic field made by a short straight segment of current-carrying wire. |

(2) Derive and apply the expression for the magnitude of B on the axis of a circular loop of current. |

(B) Students should understand the statement and application of Ampere’s Law in integral form, so they can: |

(1) State the law precisely. |

(2) Use Ampere’s law, plus symmetry arguments and the right-hand rule, to relate magnetic field strength to current for planar or cylindrical symmetries. |

(C) Students should be able to apply the superposition principle so they can determine the magnetic field produced by combinations of the configurations listed above. |