Recent content by Zaoshi

Well I've got some reason. But I don't feel they're correct. Could anyone proof-check please? Ip=a*cos(w*t) + b*sin(w*t) Ip' = -a*w*sin(w*t) + b*w*cos(w*t) Ip(0) = a Ip'(0) = b*w Discriminant > 0 Ih = C1 * e^At + C2 * e^Bt Ih' = C1 * A * e^At + C2 * B * e^Bt Ih(0) = C1 + C2 Ih' = C1...

Teacher suggested to assume I(0) = I'(0) = 0 and use same equation Ip(0) + Ih(0) = 0 for all cases, I'll post results later, if I manage to get any.

I guess I rushed it too much, failed to notice variable in exponent. Ih = -Beαtsin(βt) = 0 Ih' = -Bαeαtsin(βt) - Bβeαtcos(βt) = -Bβ Ih'' = -Bα2eαtsin(βt) - 2Bαβeαtcos(βt) + Bβ2eαtsin(βt) = -2Bαβ L(-2Bαβ) + R(-Bβ) + 1/C * (0) = E0ωcos(ωt) -2LBαβ - RBβ = E0ωcos(ωt) Bβ(-2Lα - R) = E0ωcos(ωt) B =...

Hm... Interesting. For some reason I though I shouldn't specify t value. But this seems to work :D Graph looks like http://img683.imageshack.us/img683/8141/21433896.png now. Last part left, discriminant < 0. It seems my notes have more information on this case. Lets say x1 = α + iβ and x2 =...

Sorry for double post if it's against rules. Now I'm assuming D = R2/L2 - 4/(L*C) = 0, meaning both roots are x = -R/(2*L) Therefore homogeneous equation is Ih = C1ext+C2ext Ih = ext(C1+C2) Ih = Bext (C letter is already in use, using B) Ih' = Bxext Ih'' = Bx2ext Trying to plug it into...

I had troubles with indexes, so I made X = C2, A = x1, B = x2, E = E0, w = ω. Well my assignment is to make program which draws graph. R, L, C, E0, ω will be provided, t is time which will be X axis. Therefore I have to keep all these constants and variables to get correct result. Currently...

I used C1 = -C2, so my equations became Ih = C2(ex2t - ex1t) Ih' = C2(x2ex2t - x1ex1t) Ih'' = C2(x22ex2t - x12ex1t) By "plug the derivatives into your original equation" you mean LI'' + RI' + 1/C * I = E0ωcos(ωt) ? If yes this leads to LC2(x22ex2t - x12ex1t) + RC2(x2ex2t - x1ex1t) + 1/C *...

Homework Statement For RLC circuit determine and solve differential equation. R, L, C, E0 values are constants, E = E(t) = E0*sin(ω*t) (E is marked as V in the image). Then make program which calculates values of I(t) when R, L, C, E0, ω are given. In short, I need to get function I(t), so I...