hkBattousai
Member
I'm trying to find an expression for current at a branch in my circuit. I used Laplace transform to find that expression. The expression contains a term "V(s)" which is the supply voltage.
v(t) = 310 . cos(2π50t) V (220V, 50Hz alternating sinusoidal voltage)
V(s) = 310 . [ s / (s^2 + ω^2)], where ω is 2π50 rad/s
We substitute,
s = σ + jω, where σ=0 and ω=2π50 rad/s
That makes,
s = j2π50 rad/s
We substitute s into V(s):
V(s) = 310 . [ s / (s^2 + ω^2)]
V(s) = 310 . [ (j2π50) / ((j2π50)^2 + (2π50)^2)]
V(s) = 310 . [ (j2π50) / (-(2π50)^2 + (2π50)^2)] = 310 . [ (j2π50) / 0] = j∞
V(s) = j∞
What is wrong here, why can't I find a finite value for V(s)?
v(t) = 310 . cos(2π50t) V (220V, 50Hz alternating sinusoidal voltage)
V(s) = 310 . [ s / (s^2 + ω^2)], where ω is 2π50 rad/s
We substitute,
s = σ + jω, where σ=0 and ω=2π50 rad/s
That makes,
s = j2π50 rad/s
We substitute s into V(s):
V(s) = 310 . [ s / (s^2 + ω^2)]
V(s) = 310 . [ (j2π50) / ((j2π50)^2 + (2π50)^2)]
V(s) = 310 . [ (j2π50) / (-(2π50)^2 + (2π50)^2)] = 310 . [ (j2π50) / 0] = j∞
V(s) = j∞
What is wrong here, why can't I find a finite value for V(s)?