- #1
VinnyCee
- 489
- 0
OK, I have this complex number equation:
[tex]5\,V\,=\,\left[\left(j2\,+\,1\right)\,\left(1000\,-\,j10000\right)\,+\,\left(200\,+\,j2000\right)\right]\,i_L[/tex]
Now I try to solve for [itex]i_L[/itex]:
[tex]i_L\,=\,\frac{5\,V}{\left(j2\,+\,1\right)\,\left(1000\,-\,j10000\right)\,+\,\left(200\,+\,j2000\right)}[/tex]
[tex]i_L\,=\,\frac{5\,V}{-20000j^2\,-\,6000j\,+\,1200}[/tex]
Since [itex]j^2[/itex] is just -1:
[tex]i_L\,=\,\frac{5\,V}{21200\,-\,6000j}[/tex]
And since [itex]\frac{1}{j}[/itex] = -j, the final complex numbered answer I get is:
[tex]0.0002358\,+\,0.00083333j[/tex]
However, this is incorrect! I have the answer for the problem, step-by-step, given by the prof. and I have double checked the answer using the Symbulator for the TI-89.
I should be getting:
[tex]0.00021836\,+\,0.0000618j[/tex]
What am I doing wrong?
[tex]5\,V\,=\,\left[\left(j2\,+\,1\right)\,\left(1000\,-\,j10000\right)\,+\,\left(200\,+\,j2000\right)\right]\,i_L[/tex]
Now I try to solve for [itex]i_L[/itex]:
[tex]i_L\,=\,\frac{5\,V}{\left(j2\,+\,1\right)\,\left(1000\,-\,j10000\right)\,+\,\left(200\,+\,j2000\right)}[/tex]
[tex]i_L\,=\,\frac{5\,V}{-20000j^2\,-\,6000j\,+\,1200}[/tex]
Since [itex]j^2[/itex] is just -1:
[tex]i_L\,=\,\frac{5\,V}{21200\,-\,6000j}[/tex]
And since [itex]\frac{1}{j}[/itex] = -j, the final complex numbered answer I get is:
[tex]0.0002358\,+\,0.00083333j[/tex]
However, this is incorrect! I have the answer for the problem, step-by-step, given by the prof. and I have double checked the answer using the Symbulator for the TI-89.
I should be getting:
[tex]0.00021836\,+\,0.0000618j[/tex]
What am I doing wrong?