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5.3 Divergence and Curl of B
0 B
Ampere’s lawdifferential form
JB o
Drawing magnetic field lines:
The lines are closed or go to infinity.
The lines encircle the current. I
The lines are perpendicular tothe current.
For current distributions, decompose into wires and use superposition.
Direction from the right-hand rule
enclo
loop
Id lB
Ampere’s lawintegral form
Simple solutions for:Infinite straight linesInfinite planesInfinite solenoidsToroids
Example 5.7 – Straight Wire
Field of a straightwire.
Example 5.8 – Uniform Surface Current
Example 5.9 –Long Solenoid
Example 5.8 –Toroidal Coil
Tokamak Nuclear Fusion Reactor
Maxwell’s equations for electro- and magnetostatics
)(
0
0
0
0
0
BvEF
B
E
JB
B
E
Eo
Q
Gauss’s law
Ampere’s law
Far from charges
Far from currents
Lorentz force
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