The Mesh-current analysis is simply an extended application of Kirchhoff’s laws. Diagram 31.1 shows a network whose circulating currents I1, I2 and I3 have been allocated to closed loops in the circuit rather than to branches. Currents I1, I2 and I3 are referred to as mesh-currents or loop-currents. In mesh-current analysis the loop-currents are all arranged to circulate in the same direction (in diagram 31.1, shown as clockwise direction). Kirchhoff’s 2nd law is applied to each of the loops in turn, which in the circuit of diagram 31.1 generates 3 equations in three unknowns which may be solved for I1, I2 and I3.
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Magneto motive force and magnetic field strength
The Magneto-motive force (mmf) is the cause due to the presence of the a magnetic flux in a magnetic circuit,
mmf,Fm=NI amperes
where N is used to represent the number of conductors (or turns) and I represents the current in amperes. We sometimes express the unit of mmf as ‘ampere-turns’. As we know, since ‘turns’ have no dimensions, the SI unit of mmf is the ampere. Magnetic field strength (or magnetizing force),
H= NI/l ampere per metre
where l stands for the mean length of the flux path in metres.
Thus mmf =NI= Hl amperes.
