I have the following circuit and trying to solve it and the problem calls to solve it using superposition and loop analysis.
I have canceled the 5.5cos2t source and replaced it with a short circuit then calculate my impedance's and have gotten four resulting loops.
1: (9.5 + 4j)I1 + (0 - 4j)I2 + (-7 +0j)I3 + (-4I + 0j)I4 = 0
2: (0 -4j)I1 + (3 + 3.5j)I2 +(0 + 0j)I3 + (-3 + 0j)I4 = -7
3: (-7 + 0j)I1 + (0 + 0j)I2 + (12-.125j)I3 + (0 + .125j)I4 =
4: (0 + 0j)I1 + (-3 + 0j)I2 + (0 + .125j)I3 + (4 + 11.875j)I4 = 0
I think I am just lost as how to solve for currents with the imaginary numbers there with the 4 unknowns and am a little lost from there any help or insight would be appreciated thanks.
I have canceled the 5.5cos2t source and replaced it with a short circuit then calculate my impedance's and have gotten four resulting loops.
1: (9.5 + 4j)I1 + (0 - 4j)I2 + (-7 +0j)I3 + (-4I + 0j)I4 = 0
2: (0 -4j)I1 + (3 + 3.5j)I2 +(0 + 0j)I3 + (-3 + 0j)I4 = -7
3: (-7 + 0j)I1 + (0 + 0j)I2 + (12-.125j)I3 + (0 + .125j)I4 =
4: (0 + 0j)I1 + (-3 + 0j)I2 + (0 + .125j)I3 + (4 + 11.875j)I4 = 0
I think I am just lost as how to solve for currents with the imaginary numbers there with the 4 unknowns and am a little lost from there any help or insight would be appreciated thanks.