Page 24 - NETWORK ANALYSIS
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Mesh Analysis
Example 9
Determine the current i1, i2 and i3 by using Maxwell Loop Method.
Figure 1.9
Solution
Loop i1
By applying Kirchhoff Voltage Law (KVL);
(2 + j4) i1 – (j4) i2 = + 20<0º --------------------------- (1)
The source 20<0º V is positive because it is in the same direction of i1.
Loop i2
By applying Kirchhoff Voltage Law (KVL);
(– j6 + 8 + j4) i2 – (j4) i1 + (8) i3 = 0
(– j4) i1 + (8 – j2) i2 + (8) i3 = 0 ---------------------- (2)
Loop i3
By applying Kirchhoff Voltage Law (KVL);
(10 + 8) i3 + (8) i2 = +10<0º
The source 10<0º V is positive because it is in the same direction of i3.
(8) i2+ (18) i3 = 10<0º -------------------------------- (3)
