- #1
craka
- 20
- 0
Homework Statement
Determine I1
independent AC voltage source 10 cos 10^5t
inductor 60mH
capacitor 5nF
dependent voltage controlled voltage source 3Vx
Homework Equations
KVL & KCL
The Attempt at a Solution
[tex]
\begin{array}{l}
- 7.071 + 6000I_1 - j6000I_3 = 0 \\
I_3 = I_1 - I_2 \\
- 7.071 + 6000I_1 - j6000(I_1 - I_2 ) = 0 \\
j6000(I_1 - I_2 ) + 3v_x - j2000 = 0 \\
v_x = 6000I_1 \\
- 7.071 + 6000I_1 - j6000(I_1 - I_2 ) = 0 \\
j6000(I_1 - I_2 ) + 3(6000I_1 ) - j2000 = 0 \\
24000I_1 = 7.071 + j2000 \\
I_1 = (2.94625 \times 10^{ - 4} ) + j0.083333 \\
I_1 = 0.0833\angle 89.79^o \\
\end{array}
[/tex]
The answer for I1 is given as 0.33mA @ 171.9 degrees
Could someone help me here please, gone over this for a couple hours still stumped.
Cheers