ABSTRACT
At the end of this chapter you should be able to:
• solve d.c. and a.c. networks using mesh-current analysis
• solve d.c. and a.c. networks using nodal analysis
Mesh-current analysis is use of Kirchhoff’s laws, Figure 34.1 shows a I1,I2 and I3 have been circuit rather than to called mesh-currents or In mesh-current
all arranged to circulate Figure 34.1
second law is applied to each of the loops in turn, which in the circuit of Figure 34.1 produces three equations in three unknowns which may be solved for I1,I2 and I3. The three equations produced from Figure 34.1 are:
I1(Z1 +Z2)− I2Z2 = E1 I2(Z2 +Z3 +Z4)− I1Z2 − I3Z4 = 0
I3(Z4 +Z5)− I2Z4 = −E2
The branch currents are determinedby taking the phasor sum of the mesh currents common to that branch. For example, the current flowing in impedance Z 2 of Figure 34.1 is givenby (I1−I2)phasorially. Themethod of mesh-current analysis, calledMaxwell’s theorem, is demonstrated in the following problems.
