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

 P: 85 1. The problem statement, all variables and given/known data the question can be ignored - it involves laplace and Z transforms of RLC ckts. Vc(s) = 0.2 ----------------- s^2 + 0.2s + 1 find the partial fraction equivalent such that it is :  -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 B --------------- = --------------------- + ------------------- s^2 + 0.25 + 1 s + (0.1 - j(0.995))) s + (0.1 + j(0.995)) 0.2 = A(s + 0.1 + j(0.995)) + B(s + (0.1 - j0.995)) 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