Transcript
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5.3 Divergence and Curl of B
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Ampere’s lawdifferential form
JB o
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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
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loop
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Ampere’s lawintegral form
Simple solutions for:Infinite straight linesInfinite planesInfinite solenoidsToroids
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Example 5.7 – Straight Wire
Field of a straightwire.
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Example 5.8 – Uniform Surface Current
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Example 5.9 –Long Solenoid
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Example 5.8 –Toroidal Coil
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Tokamak Nuclear Fusion Reactor
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Maxwell’s equations for electro- and magnetostatics
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Gauss’s law
Ampere’s law
Far from charges
Far from currents
Lorentz force
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