6.002 Circuits and Electronics
Fall 2014
Instructors: Karl K Berggren, Jeffrey H Lang, Gerald Jay Sussman
TAs: Kayla E Esquivel, Felipe J Garza, Siyuan Lu, Apoorva Murarka, William P Putnam, Shen Shen, Michael A Wu
Lecture: TR11 (32-123)
Announcements
formulas/memorization
A few of you have emailed me asking for more clarification on what you need to memorize.To reduce anxiety about the exam, I've decided to tell you in advance what formulas I'll give you. You should probably still know all this (At least!) by heart.
Here's what I plan to provide you with:
v = iR
i = C dv/dt
current precedes voltage in a capacitor
v = L di/dt
voltage precedes current in an inductor
Z_L = j omega L
Z_C = 1/ (j omega C)
E_L = 1/2 L i_L^2
E_C = 1/2 C v_C^2
omega_o = 1/sqrt(L C)
characteristic equation of 2nd-order systems
d^2x/dt^2 + (2 alpha) dx/dt + omgea_o^2 = 0
equivalently
(j omega)^2 + (2 alpha) (j omega) + omega_o^2
Z_c = sqrt(L/C)
Q = omega_o / (2 alpha)
form of time-domain LRC homogeneous solution
x(t) = X exp(-alpha t) cos(omega_d t + phi)
where X and phi are determined from the initial conditions of the
problem
characteristic equation of 1st-order systems
dx/dt + 1/tau = 0
or equivalently
(j omega) + 1/ tau
We would also provide circuit models for complex device elements (e.g. BJTs) explicitly in the problem.
I recommend memorizing these formulas, even though it will be provided.Our goal is not to test your memorization, but memorization of basic formulas is a necessary part of developing conceptual comfort with the course, and working quickly on the course material.
Announced on 14 December 2014 7:02 a.m. by Karl K Berggren
formulas/memorization
A few of you have emailed me asking for more clarification on what you need to memorize.To reduce anxiety about the exam, I've decided to tell you in advance what formulas I'll give you. You should probably still know all this (At least!) by heart.
Here's what I plan to provide you with:
v = iR
i = C dv/dt
current precedes voltage in a capacitor
v = L di/dt
voltage precedes current in an inductor
Z_L = j omega L
Z_C = 1/ (j omega C)
E_L = 1/2 L i_L^2
E_C = 1/2 C v_C^2
omega_o = 1/sqrt(L C)
characteristic equation of 2nd-order systems
d^2x/dt^2 + (2 alpha) dx/dt + omgea_o^2 = 0
equivalently
(j omega)^2 + (2 alpha) (j omega) + omega_o^2
Z_c = sqrt(L/C)
Q = omega_o / (2 alpha)
form of time-domain LRC homogeneous solution
x(t) = X exp(-alpha t) cos(omega_d t + phi)
where X and phi are determined from the initial conditions of the
problem
characteristic equation of 1st-order systems
dx/dt + 1/tau = 0
or equivalently
(j omega) + 1/ tau
We would also provide circuit models for complex device elements (e.g. BJTs) explicitly in the problem.
I recommend memorizing these formulas, even though it will be provided.Our goal is not to test your memorization, but memorization of basic formulas is a necessary part of developing conceptual comfort with the course, and working quickly on the course material.
Announced on 14 December 2014 7:02 a.m. by Karl K Berggren
Office Hours Tomorrow (Sunday) rescheduled to 5-7 PM.
The office hours tomorrow (Sunday Dec 14) will be from 5-7PM at 32-044.Announced on 13 December 2014 8:43 p.m. by Siyuan Lu
Course Evaluation
Please take a few moments to complete the MIT course evaluation on line. This is separate from the in-class evaluation. None of these evaluations will be read until after final grades are assigned.http://web.mit.edu/subjectevaluation
Announced on 11 December 2014 6:42 p.m. by Karl K Berggren
Notes for Exam
The final exam will not contain material that requires memorization (beyond very basic constitutive relations for things like inductors and capacitors). Any questions requiring detailed formulas (e.g. MOSFET constitutive relations, or complex circuit models) will provide those models explicitly. Because of this policy, no notes will be permitted.Announced on 11 December 2014 6:41 p.m. by Karl K Berggren