Page 16 - NETWORK ANALYSIS
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Mesh Analysis
Example 5
Calculate the value of i1 and i2 in the circuit in Figure 1.5 using Mesh Analysis.
Figure 1.5
Solution
Loop i1
By applying Kirchhoff Voltage Law (KVL);
(1 + j2) i1 + (j2) i2 = 10 <45° --------------------------------- (1)
Loop i2
By applying Kirchhoff Voltage Law (KVL);
(– j3 + 4 + j2) i2 + (j2) i1 = 0
(j2) i1 + (4 – j) i2 = 0 --------------------------------- (2)
Converting mesh equations into matrix form;
(1 + j2) (j2) i1 10 < 45°
[ ] [ ] = [ ]
(j2) (4 – j) i2 0
Solve the equation in each mesh to obtain the values of i1 and i2.
