I have attached both the question and my attempt to the solution. Can someone please tell me if l am correct or not ?

 

I have attached both the question and my attempt to the solution. Can someone please tell me if l am correct or not ?

I'm fairly certain that's not correct.

Try taking a more conservative approach. You have two loops, and 3 nodes. One of the loops has a current source in it.

This screams mesh analysis, because you instantly know one of the mesh currents. (i.e. i1 = -Is)

You can solve the current in the top loop with your mesh equation, then simply write a KVL in the big "outer loop".

Since you know the current in the top loop, you know the voltage across the 2Ω resistor.

I found Voc to be,

\(\frac{148 - j12}{13}\)

Good luck!

 

Some pointers:

The inductor's impedance is dependant on the frequency, much like the capacitor. Its impedance is Zi=jωL

In your place I wouldn't assume that Z2's frequencey is 1000rads. It may be true but you can't prove it at this point.

Keep the vector notation of the sources inside the calculations.