Solving AC Homework: e(t),i(t),Ul(t),Ur(t),Uc(t),Urc(t),Url(t)

In summary, In the frequency domain, the time dependent angle disappears and you can write the voltage as: Ulc = 17.89V*(cos(φ) + j*sin(φ))
  • #36
builder_user said:
Some of your results are similar to mine but some of them are completely different.
I think your results are correct so I'll use them.

You should check your math to see if you can't arrive at the same results; it's important to be able to work these sorts of problems before things get even more complicated! Besides, you never know, I might have mucked up somewhere!

P = e * conjugate(I) = 0.0156 - j1.117 W ;

I can't get this result

You may need to hang on to more decimal places in your intermediate results.

e = 8.0670 - j15.9699 V
I = 0.0561 + j0.0274 A

e*conj(I) = (8.0670 - j15.9699)*(0.05614 - j0.02738) W

= [8.0670 x 0.05614 - (-15.9699 x -0.02738)] + j[-15.9699 x 0.05614 + 8.0670 x -0.02738]

= [0.4529 - 0.4373] + j[-0.2209 + -0.8966]

= 0.0156 - j1.117
 
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  • #37
I've already checked it. The core of the problem was accuracy.
 

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