Determining w and sigma is helpful in that if w is greater than sigma, the circuit is underdamped.
This is an introductory circuits course. Most people in the class have not taken differential equations, so they're not heavily used in the course.
I would certainly like to just solve for v_C(t)...
Homework Statement
In the above diagram,
iin(t) = -0.5u(-t) + 2u(t) A
R = 2 Ω
L = 1 H
C = 8 mF
Find the zero-input, zero-state, and complete responses of vC(t) and iL(t) for t > 0.
Homework Equations
σ = R/2L for series RLC circuits
ωn = 1/(sqrt(LC)) for RLC circuits
ωd =...
Okay, great. I just haven't performed many of these problems and wasn't sure. But one question persists: why does my time constant differ from the given one? Is 6RC the time constant before t=0?
Homework Statement
Homework Equations
vc(t) = vc(∞) + [vc(0+) - vc(∞)]*e-t/τ (Voltage in a driven RC circuit)
τ = RC (time constant for an RC circuit)
The Attempt at a Solution
I'm pretty shaky with these sorts of problems and am quite unconfident of my work here. Step...
It's...the same thing? Combining the 12L and 24L inductors definitely helped clear up my mental picture. But am I correct in assuming that since those 3 branches are parallel, I can swing the empty one into the middle like I did?
Homework Statement
Homework Equations
Leq = L1 + L2 + ... + Ln (series)
Leq = 1/((1/L1) + (1/L2) + ... + (1/Ln)) (parallel)
The Attempt at a Solution
For part A, I redrew the circuit (above), taking into account that the switch was open, but I'm not entirely certain I did it...
Well that was stupid of me. Figures that I thought to check my circuit before I thought to check my actual math, lol. VAB = Voc = 18 V.
So now I need either Rth or Isc. If I do the same nodal analysis on the top node but this time include a -IA, does that make my VAB = 0? It would be a short...
Homework Statement
Homework Equations
V = IR
I1 + I2 ... + In = 0 for a node (KCL)
V1 + V2 ... + Vn = 0 for a loop (KVL)
The Attempt at a Solution
I've really been struggling with this problem and Thevenin/Norton problems in general. I just can't seem to perform the proper circuit...
So I want to use current division to find i2, then multiply that by R3 to get my voltage value?
i2 = Is3*(R2/(R1+R2+R3))
vout3 = i2R3
vout3 = Is3*((R2*R3)/(R1+R2+R3))
After substituting values in, vout3 comes out to be 12. Unfortunately either that or one of my previous solutions is wrong- a...
Homework Statement
For the above circuit, find the coefficients of the linear relationship vout = a1vs1 + a2is2 + a3is3 by superposition. Then find the power delivered to R3 when vs1 = 100 V, is2 = 2 A, and is3 = 4 A. Given: R1 = 20 Ω, R2 = 60 Ω, and R3 = 20 Ω.
Homework Equations...
I got it! Thank you very much for your help- I definitely would have kept on futilely separating R1 and R2 without it, heh. I don't know why I got it into my head that I couldn't add them up...I'll definitely have to keep that in mind for future problems.
Thanks again.
Okay...I tried going with Is - Vs/R1 - Vx/R2 + gmVx = 0 and doing KVL on the left loop to get Vx = Vs - IsR1, then plugging all that into the Req formula. I was left with only the proper variables, which is good, but my answer (after putting in given values for the numbers) was way off, so...