Page 10 - NETWORK ANALYSIS
P. 10
4
Mesh Analysis
Step 3:
Solve the equation in each mesh to obtain the values of i1 and i2.
5i1 + 1i2 = 12 --------------------------------- (1)
1i1 + 3i2 = 10 --------------------------------- (2)
Converting mesh equations into matrix form;
5i1 + 1i2 = 12 --------------------------------- (1)
1i1 + 3i2 = 10 --------------------------------- (2)
From the matrix we can find the value of ∆, ∆i1, ∆i2, i1 and i2.
To find ∆:
5 1
( )
1 3
∆ = (5 x 3) – (1 x 1) = 14
To find ∆i1:
∆i1 = (12 x 3) – (1 x 10) = 26
26
i1 = ∆ i1 = = 1.857A
∆ 14
