(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the question can be ignored - it involves laplace and Z transforms of RLC ckts.

find the partial fraction equivalent such that it is :Code (Text):

Vc(s) = 0.2

-----------------

s^2 + 0.2s + 1

Code (Text):

-j(0.1005) + j (0.1005)

-------------- ------------------

s + 0.1-(0.995) s + 0.1 + j(0.995)

2. Relevant equations

none

3. The attempt at a solution

0.2 = A(s + 0.1 + j(0.995)) + B(s + (0.1 - j0.995))Code (Text):

0.2 A B

--------------- = --------------------- + -------------------

s^2 + 0.25 + 1 s + (0.1 - j(0.995))) s + (0.1 + j(0.995))

0.2 = As + A(0.1 + j(0.995)) + Bs + B(0.1 - j0.995)

so As + Bs = 0

or (A + B) = 0

or A = -B

so

0.2 = j(0.995A) - j(0.995B)

somethings not right - if i evaluate this I don't get anywhere near the answer

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# Simple partial fractions help (warning complex analysis :P )

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