EE 205
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Homework set #6, due 5/7/08 437, 438, 449, 54, 56, 59, 512, 514, 515, 519, 522, 529, 533, 534 Dynamic Circuits  Signal Waveforms
v(t ) = Vo for  < t < i(t ) = Io
v(t) V0
0
t
v(t)
v(t)
v(t)
v(t)
t t v(t) v
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Composite Waveforms combining the basic waveforms to make really nasty stuff.
e.g, express the following curve in terms of simple waveforms:
v(t)
VA
0.632V A 0.5 V A
0
0
TC
2T C
3T C
4T C
5T C
t
161
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Put
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Capacitors and Inductors this stuff's a charge Capacitance, C relates voltage and stored charge in a capacitor. The unit of capacitance is the farad (F).
+ i C(t)
vC(t) C

q(t ) = CvC (t )
Current and voltage relationships:
i
EE 205
Coifman
Homework set #7, due 5/14/08 62, 66, 610, 624, 640, 77, 713, 714, 723, 726, 728 First Order circuits RC & RL RC  can you reduce the given circuit to a single resistor and a
single capacitor?
i (t) + Resistors and sources
EE 205
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First Order circuits
i (t) + Resistors and sources v(t) L i N (t) RN i (t) + v(t) L
GN L
di(t ) + i ( t ) = iN ( t ) dt
Three factors contribute to our solution: 1) The input(s) driving the circuit (e.g., vT(t) 2) The values of t
EE 205
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Welcome to lecture 20 Like love, after the DC component fades away, the sinusoidal steadystate response continues on. Today we will move beyond simple infatuation between electrons and consider circuit relationships that have lasted
EE 205
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Set your phasors on stun. it's time for phasor circuit analysis In other words, finding the sinusoidal steady state response without touching differential equations.
How do the following translate into the phasor domain: Connection
EE 205
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Rules for the test are the same as outlined in Lecture 12, please review them. The test will cover material through this lecture.
Given Prove
Re{ Ae j e jt } = Re{Be j e jt } Ae j = Be j
1)
since they are exponentials 2)
Re{ Ae
EE 205
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More notes on the test: although you may (or may not) have a calculator that can handle complex numbers, be sure you know how to convert between polar and rectangular forms!
C1
L2
+ vX R1 L1
AiY + C2 R2
vS
+ 
BvX
R3
iY
L3
EE 205
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Let
vs =
k = 1
Vk cos(10 k ot + k )
3
Find vo(t) for the circuits on 234 through 237 of the lecture notes.
0 H(j) H(j) 0 H(j) H(j) 0 H(j) H(j)
0.01*
0.1*
10*
100*
1000*
0.01*
0.1*
10*
100*
1000*
0.01*
EE 205
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Homework set #5, due 4/30/08 42, 47, 413, 414, 416, 417, 420, 421, 423, 426 Meet the Operational Amplifier, its friends call it "the Op Amp"
Positive power supply +V CC vO 8 7 6 5
Noninverting input + Inverting input
Outp
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Active circuits have one or more devices that require an external power supply to operate correctly Recall the proportionality property: y=Kx Assuming y and x have the same units (A or V), what is the maximum that K could be for the
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A i RT + v  T +
v
RL
Source B Load
111
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1.0 i/i SC 0.5 p/pMAX v/vOC
0.0 0.01
0.1
1.0
10
100
RL /RT
112
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In practice, you can't change the source or load, so you change the interface
So
note: 1) passive sign convention 2) each plot corresponds to a specific subcircuit
R1 vS + + vR 
i
A + v B Rest of the circuit
p38 revisited, repeat for Circuit B
Circuit A iA i
A
iR i 1/R 1 + vR R1 vR
R
vA 
vA + i
A
v S
v S
+
+ 
EE 205
Coifman
Why are we here?
Learn circuit analysis Learn to be critical thinkers Learn to ask "why?", "how?", . Learn to answer your own questions by exploiting all of the resources at your disposal: Where are the clues? Where is the knowl
EE 205
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Homework set #1, due 4/2/08 13, 18, 117, 119, 122 21, 22, 26, 215, 219, 222, 224
21
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Meet the resistor.
Actual
i + v R
i
Model Linear range R 1
v
Power rating limits
v=Ri
or
i=Gv
where: R [], G
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More examples
i (A) .008 .006 .004 .002 1.0 .8 .6 .4 .2 .002 .004 .006 C .008 B .2 .4 .6 .8 1.0 v (V) A
Given a two terminal device with the above currentvoltage characteristics, determine the device power when it operates
EE 205
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Homework set #2, due 4/09/08: 231, 235, 239, 242, 243, 246, 252, 253, 256, 260
41
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Quick review and bits I may have moved too fast on: Ohm's law: v=iR When does this apply? When does it not apply? Power
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Much of engineering is just taking a big problem and repeatedly chipping off small bits until nothing is left of the problem.
Learn how to make the small chips intuitively rather than memorizing large operations.
51
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Coifm
EE 205
Coifman
Node voltages:
vA vB vC
Notation
+ vA
+ vB 
+ vC
Interpretation
61
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If the Kth twoterminal element is connected between nodes X and Y, then the element voltage can be expressed in terms of the two node volta
EE 205
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Do not try to get ahead of yourself on the problem sets. Do each little step in detail. It is better to err on the side of too much information rather than too little.
Homework set #3, due 4/16/08 32, 34, 37, 39, 312, 318, 31
EE 205
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Linear functions f(Kx)=Kf(x) f(x1+x2)=f(x1)+f(x2) Linear circuits  part 1: proportionality property y=Kx
x K Input Output y = Kx
81
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e.g.,
R2
iS = x
R1
iO = y
K
But how do you use this? 1) implicit in time v
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Not all circuits are linear and things can get messy when its nonlinear (remember problem 117?). Segregating the linear bits from the nonlinear bits can make things simpler
i + S v 
A L B
Source
Interface
Load
If the source
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Da test: Covers material through section 34 Closed book and closed notes You may have one 8.5"x11" sheet with notes HAND WRITTEN on both sides (photocopies and computer printouts are not permitted) The test will be designed such
EE 205
Coifman
Why are we here?
Learn circuit analysis Learn to be critical thinkers Learn to ask "why?", "how?", . Learn to answer your own questions by exploiting all of the resources at your disposal: Where are the clues? Where is the knowl