Question

In the circuit given below, R 7 kQ. Find the mesh currents using MATLAB 8 k2 I3) 8 kS.2 3 mA 4 k2 + 3k2 MA. The value of 11 in the circuit is he value of 12 in the circuit is The value of l3 in the circuit is The value of in the circuit is The value of l in the circuit is MA. mA. mA. MA.

Answer 1

From the figure I_A = -3mA - (4) KVL for mesh (1) 12 = I_1 (1k + 3k) + I_2 (-3k) + I_3 (-1k) - (1) KVL for mesh (2) I_1 (-3k) + I_2 (3k + 4k) + I_4 (-4k) = 0 - (2) KVL for mesh (3) I_1 (-1k) + I_3 (1k + 8k + 6k) + I_4 (-8k) + I_5 (-6k) = 0 - (3) kvL for mesh (5) I_3 (-6k) + I_4 (-8k) + I_5 (6k + 8k + 7k) = 0 - (5) solving (5) equations gives I_1 = -1.7183 mA I_2 = -0.978mA I_3 = -2.193 mA I_4 = -3 mA I_5 = -1.77 mA Script: > > 1000 = [A + 3000 -3000 -1000 0 0: -3000 3000 + 4000 0 -4000 0: -1000 0 1000 + 8000 + 6000 -8000 -6000;0 0 0 1 0;0 0 -6000 -8000 6000 + 8000 + 7000] A = 4000 -3000 -1000 0 0 -3000 7000 0 -4000 0 -1000 0 15000 -8000 -6000 0 0 0 1 0 0 0 -6000 -8000 21000

Matlab Script:

>> A=[1000+3000 -3000 -1000 0 0;-3000 3000+4000 0 -4000 0;-1000 0 1000+8000+6000 -8000 -6000;0 0 0 1 0;0 0 -6000 -8000 6000+8000+7000 ]
A =

    4000   -3000   -1000       0       0
   -3000    7000       0   -4000       0
   -1000       0   15000   -8000   -6000
       0       0       0       1       0
       0       0   -6000   -8000   21000

>> b=[12;0;0;-0.003;0]
b =

   12.00000
    0.00000
    0.00000
   -0.00300
    0.00000

>> A\b
ans =

   1.7183e-03
  -9.7788e-04
  -2.1932e-03
  -3.0000e-03
  -1.7695e-03