Engineering Thevenin AC Circuit Homework: Solve & Analyze Results

[dwn]

Homework Statement

Image Attached

Homework Equations

Thevenin, Series, Parallel

The Attempt at a Solution

j10(12-j34) / (j10+12-j34) = (340 + 120j) / (12/j24)

1.67 + j13.3 or 13.44∠82.4°

Now why can't I just use this equivalent resistance and multiply by the current source (22∠30°) to find the Thevenin Voltage? The result of doing this is 295.68∠112.8°V. Instead, the book uses Nodal Analysis to find V_TH, which results in 295.3∠115.889°V.
Why do the voltages roughly match, but the phase angles do not? Do you think book made mistake?

 

[gneill]

Homework Statement

Image Attached

Homework Equations

Thevenin, Series, Parallel

The Attempt at a Solution

j10(12-j34) / (j10+12-j34) = (340 + 120j) / (12/j24)

1.67 + j13.3 or 13.44∠82.4°

Now why can't I just use this equivalent resistance and multiply by the current source (22∠30°) to find the Thevenin Voltage? The result of doing this is 295.68∠112.8°V. Instead, the book uses Nodal Analysis to find V_TH, which results in 295.3∠115.889°V.
Why do the voltages roughly match, but the phase angles do not? Do you think book made mistake?

Your analysis looks okay. It's quite possible for a text to have a typo or mistake. If the book presents all the steps of their solution, perhaps you can spot where their error has occurred.