Thanks so much! Now the trouble I'm having is knowing what are the initial conditions. I can't seem to understand it based on the circuit given. Do you think you could help explain it to me?
So I was hoping if someone could still help me with this equation?
From the above equation: 1/C*i(t) + Ld^2i(t)/dt^t + Rdi(t)/dt = 0?
Since i(t) = 1/R * Vo(t), I would substitue i(t) and the values of C, L and R and get:
1/4*d^2Vo(t)/dt + dVo(t)/dt + 2Vo(t) = 0
So I assume Vo(t) = Ae^st and get...
Thanks for the reply! And yes I think you're right, it is probably 1/2 V. So then the differential equation would look like: Vc(t) + VL(t) + Vo(t) = 1/2 .
Vo(t) = Ri(t)
VL(t) = Ldi(t)/dt
Vc(t) = 1/C integral from -infinity to t of i(a)da
So if I plug these into the equation and take the...
Homework Statement
Provided in the picture below.
Homework Equations
The Attempt at a Solution
So what I've done so far is use KVL to obtain Vc(t) +Vr(t) + Vo(t) = 1/2Vin(t).
Could someone tell me if I started this problem correctly? Would I just take the derivative of the...