Circuit analysis Tutorial
AKNM Circuit Magic- circuit analysis software
Mesh Current Method
The mesh current method is deduced from the Kirchhoff’s voltage law (KVL)
and superposition theorem.
The following formulas are used to solve circuit.
Loop i resistance is the sum of
resistances of all branches which contain in the
Loop i to Loop j resistance. If the directions of loops are
opposite then resistance is negative. Otherwise, it's positive. The value equals the
sum of branches resistances of all branches, which contains in
Loop i – EMF
Number of loop equations equal number of KVL equations.
Loop Number = Branch Number –(Nodes Number
–1) – Current sources Number
If the circuit contain current sources it is
necessary to create additional loops. Branch with current source can be contained in one loop.
Sample: Circuit Solution By Mesh Current
Step 1. Construct circuit using AKNM Circuit Magic
R1=10Ohm; R2=20Ohm; R3=25Ohm; R4=10Ohm;
(Loop 1 Resistance)
(Loop 1 to loop 2 Resistance is the sum of branch 1 and branch2 resistances. The
resistance is positive due non-opposite Loop1 – Loop3 directions)