Sunday, May 19, 2013

Help with this Sinsusoidal steady state problem?

Help with this Sinsusoidal steady state problem?

The question is to find the values of \$v_1\$ and \$v_2\$:

I got the following matrix:
\begin{bmatrix} 0.64 < 38.66^{\circ} & 0.4 < -90^{\circ}\\ 0.85 < 28.07^{\circ}& 0.29<210.96^{\circ}\end{bmatrix} \begin{bmatrix} v_1 \\ v_2\end{bmatrix} $$=$$ \begin{bmatrix} 30<-90^{\circ} \\ 0\end{bmatrix}
Which gave me the answer: $$v_1=33.46 \cos(2t-211.49^{\circ})$$
Which is off from what the answer gives by .5 in the coefficient. Where did I go wrong?

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