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Ampere’s Law

Ampere’s law gives another method to calculate the magnetic field due to a given current distribution.
 
82032.png
Fig. 12
 
As shown in Fig. 12, the line integral of the magnetic field 81782.png around any closed curve is equal to μ0 times the net current i threading through the area enclosed by the curve, i.e.,
 
81790.png
 
Also using 81796.png (where 81802.png = magnetizing field)
 
81808.png
 
The total current crossing the above area is (i1 + i3i2). Any current outside the area is not included in net current. (Outward   +ve, Inward ⊗ → –ve)




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