Week 12: 5.3.2 Divergence and curl of B(General case ) Example 5.7, Example 5.8, Example 5.9, Example 5.10,

Learning outcome:

After successful completion of this week students will  be able to

  • Solve divergence and curl of B using the Biot-Savart law
  • Learn divergence of B is zero and Amper's Law
  • calculate the magnetic field due to straight wire, magnetic field due to surface current and magnetic field due to solenoind using amper's law

Lesson Plan:

Lecture 1: 

5.3.2 Divergence and curl of B(General case )

  • Ampere's Law
  • Divergence of B is zero (Proof)

Lecture 2:

  • Magnetic field due to straight current carrying wire using Ampere's Law (Example 5.7)
  • Find the magnetic field of an infinite uniform surface current K= K x(cap), flowing over the xyplane. (Example 5.8)

Lecture 3:

  •  Find the magnetic field of a very long solenoid, consisting of n closely wound turns per unit length on a cylinder of radius R, each carrying a steady current I using Ampere's Law (Example 5.9)
  • Magnetic field due to toroidal coil (Example 5.10)