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December 29th, 2015, 04:24 PM   #1
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Transform Rectangular notation into still rectangle but with exponential


My teacher wrote the following equivalence:

If you can not see the image, the equivalence is as follows:

(1.10^-3 ) . 10 . [ (j.500)/ (j+1)] x [e^(0.j)] = 3,5 . e^0,70.j

I think he transformed from the form:
|z|.e^(j.theta) which is equal to [Square root(a^2 +b^2)] . e^[j . arctg(b/a)]

I Reduced the first expression (1.10^-3 ) . 10 . [ (j.500)/ (j+1)] x [e^(0.j)] into 5+ 5.j
But obviously what gave me does not lead to the desired result:
3,5 . e^0,70.j

I don't understand what I can possibly did wrong or if there is another way to get this equivalence.

Thank you!

Last edited by Paula; December 29th, 2015 at 04:28 PM.
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December 30th, 2015, 07:12 AM   #2
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I don't see a "7" in the original line. In any case, I can't make sense of what is done. Was there any context that might help by suggesting how the original equation was obtained?
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