A community for students.
Here's the question you clicked on:
 0 viewing
hejå
 3 years ago
homework eight part one i am okay with the rest but dont understand the first bit
hejå
 3 years ago
homework eight part one i am okay with the rest but dont understand the first bit

This Question is Closed

hejå
 3 years ago
Best ResponseYou've already chosen the best response.0H8P1 IMPULSE The impulse response is a concept often used in electrical engineering, because it fully characterizes the reaction of a linear system as a function of time. As a first step, we will learn the techniques used to calculate the impulse response of a given system. Consider the circuit shown below. Assume that both the capacitor and the inductor have been left in their relaxed states for a very long time. The voltage source is driven by a signal of vin=δ(t), that is a unit impulse at time t=0. R1=10Ω, L=5mH, R2=10kΩ, C=33nF. (a) What is the value of vR1(t) at t=0−? incorrect (b)Derive a differential equation expression for vR1(t), the voltage across the resistor in series with our inductor. What is the value of vR(t) at t=0+? Hint: it may be helpful to know that ∫0+0−δ(t)dt=1 incorrect (c)Assuming an exponential decay, what is the value for vR(t) at t=1ms? incorrect (d)Similarly, derive a differential equation expression for vC(t), the voltage across our capacitor. What is the value of vC(t) at t=0+? incorrect (e)What is the value for vC(t) at t=1ms?

EliteTUM
 3 years ago
Best ResponseYou've already chosen the best response.4Well, I can answer H8P1 (a), which is simply "0V". The time is t = 0s, so JUST before the Impulse will start. So the supplied voltage is zero and therefore all voltages in the network are 0. Still working on Question (b)(e).

EliteTUM
 3 years ago
Best ResponseYou've already chosen the best response.4ok, I got all of them now. I do all calcs with MatLab since I like scripting :) so: R1 = 10; R2 = 10000; C = 33*10^9; L = 5 * 10^3; t0 = 0; t0plus = 1; t0min = 0; tms = 0.001; %Q1 v_R1_0min = R1/L * exp(t0*R1/L) * t0min % Q2 (see: http://en.wikipedia.org/wiki/RL_circuit#Impulse_response ) v_r1_0plus = R1/L * exp(t0*R1/L) * t0plus % Q3 (see: http://en.wikipedia.org/wiki/RL_circuit#Impulse_response ) v_r1_1ms = R1/L * exp(tms*R1/L) * t0plus % Q4 (see: http://en.wikipedia.org/wiki/RC_circuit#Impulse_response ) v_c_0plus = 1/(R2*C) * exp(t0/(R2*C)) * t0plus % Q5 (see: http://en.wikipedia.org/wiki/RC_circuit#Impulse_response ) v_c_0plus = 1/(R2*C) * exp(tms/(R2*C)) * t0plus Values then are: v_R1_0min = 0 v_r1_0plus = 2000 v_r1_1ms = 270.6706 v_c_0plus = 3.0303e+003 v_c_0plus = 146.3667

olimpiacaj
 3 years ago
Best ResponseYou've already chosen the best response.1v_c_0plus is rong dude

EliteTUM
 3 years ago
Best ResponseYou've already chosen the best response.4That's scientific notation! v_c_0plus = 3.0303e+003 = 3030.3 Also check your values for R1, R2, C, L and the times. But for me it's correct. Only one point missing for H8P3.

1431mahi
 3 years ago
Best ResponseYou've already chosen the best response.0remove "+" sign its enough
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.