Chapter #27

Lecture Topics:

1. Magnetic field due to a moving point charge

· General expression

· Magnetic permeability

· Numerical example

2. Magnetic field due to a current—Law of Biot-Savart

· B due to a current loop and multi-loop coils

· B on the axes of a coil

· B due to a current in a solenoid

· B due to a current in a straight wire

· Visualization of magnetic fields

3. Magnetic force between parallel wires

· Derivation of general expression

· Currents in the same direction

· Currents in opposite directions

4. Gauss’ Law for Magnetism

· Definition of divergence and comparison between electric fields and magnetic fields

· Magnetic monopoles

5. Ampere’s Law

· General expression

· Comparison to Gauss’ Law for electric fields

· Application to B inside and outside a current carrying wire

· Limitations of Ampere’s Law

6. Magnetism in matter

· Magnetization, Magnetic susceptibility and relative permeability

· Atomic and Quantum Magnetic moments

· Paramagnetism

· Diamagnetism

· Ferromagnetism

· Hysteresis curves

7. Associated Labs: Force between electric currents

8. Student Learning Objectives:

    At the completion of this Chapter, students will be expected to be able to:

· Calculate the magnetic field due to a moving point charge

· Derive the magnetic field due to a coil, straight wire and solenoid by using the Law of Biot-Savart

· Derive the expression for the magnetic force between two current carrying wires and calculate the resultant force magnitude and direction

· Determine the magnetic field inside and outside a current carrying geometry by using Ampere's Law

· Delineate between Dia, Para, and Ferro magnetic materials

· Sketch and compare the hysteresis curves for hard and soft iron