Electromagnetism

  1. Magnetostatics
    1. Magnetic Field and Forces
      1. Lorentz Force Law
        1. Force on Moving Point Charge
          1. Velocity Dependence
            1. Direction Rules
            2. Force on Current-Carrying Conductors
              1. Force on Straight Wire
                1. Force on Wire Loops
                  1. Torque on Current Loops
                  2. Motion of Charged Particles
                    1. Circular Motion in Uniform Field
                      1. Helical Motion
                        1. Drift Motions
                      2. Sources of Magnetic Field
                        1. Moving Point Charges
                          1. Steady Current Distributions
                            1. Biot-Savart Law
                              1. Statement and Form
                                1. Applications to Simple Geometries
                                  1. Straight Wire Segment
                                    1. Circular Current Loop
                                      1. Solenoid
                                        1. Toroidal Coil
                                      2. Magnetic Field Calculations
                                        1. Integration Techniques
                                          1. Symmetry Arguments
                                        2. Ampere's Circuital Law
                                          1. Statement of Ampere's Law
                                            1. Integral Form
                                              1. Differential Form
                                                1. Applications
                                                  1. Infinite Straight Wire
                                                    1. Solenoid Field
                                                      1. Interior Field
                                                        1. Exterior Field
                                                        2. Toroidal Coil
                                                          1. Parallel Current Sheets
                                                          2. Choosing Amperian Loops
                                                            1. Limitations of Ampere's Law
                                                            2. Magnetic Vector Potential
                                                              1. Definition of Vector Potential
                                                                1. Relationship to Magnetic Field
                                                                  1. Gauge Freedom
                                                                    1. Gauge Transformations
                                                                      1. Coulomb Gauge
                                                                        1. Symmetric Gauge
                                                                        2. Vector Potential Calculations
                                                                          1. Simple Current Distributions
                                                                            1. Multipole Expansion
                                                                          2. Magnetic Dipoles
                                                                            1. Magnetic Dipole Moment
                                                                              1. Current Loop Model
                                                                                1. Calculation Methods
                                                                                2. Field of Magnetic Dipole
                                                                                  1. Near Field
                                                                                    1. Far Field
                                                                                    2. Forces and Torques on Dipoles
                                                                                      1. Torque in Uniform Field
                                                                                        1. Force in Non-uniform Field
                                                                                          1. Potential Energy
                                                                                          2. Magnetic Dipole Interactions