Magnetic Boundary Conditions
 Ampère's Law
Objective:
To find the important relationship between the current and the integral of the magnetic field around a closed loop containing the wire.
Steps:
From the previous page we know the connection between magnetic flux density and current. For a circular loop, we find that the integral of the flux density equals a constant times the current.
   
The definition of Ampère's Law is the line integral of the magnetic field around a single closed loop is equal to the total current enclosed.
   
It does not matter if the wire is not in the centre of the closed loop. The loop need not be circular - it must, however, enclose the wire only once.
If there is more than one wire, the integral gives the sum of the currents enclosed (taking into account the current direction).
   
Shows some examples of currents linked with curves.
 
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