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5.3 Divergence and Curl of B Ampere’s law differential form.

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1 5.3 Divergence and Curl of B Ampere’s law differential form

2 Drawing magnetic field lines: The lines are closed or go to infinity. The lines encircle the current. I The lines are perpendicular to the current. For current distributions, decompose into wires and use superposition. Direction from the right-hand rule

3 Ampere’s law integral form Simple solutions for: Infinite straight lines Infinite planes Infinite solenoids Toroids

4 Example 5.7 – Straight Wire Field of a straight wire.

5 Example 5.8 – Uniform Surface Current

6 Example 5.9 –Long Solenoid

7 Example 5.8 –Toroidal Coil

8 Tokamak Nuclear Fusion Reactor

9 Maxwell’s equations for electro- and magnetostatics Gauss’s law Ampere’s law Far from charges Far from currents Lorentz force

10


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