125: 309 biomedical devices & Systems
Fall 2015
Dr. Drzewiecki
Homework Assignment #3
Due Thursday, October 1
use this page as your cover sheet .staple your answers to it and print and sign your
name below. HAND IN At the beginning of CLASS. If possible u

System Models and Behavior: The System Model
The systems model is a process oriented
representation that emphasizes the influences, or flow of
information, between modules.
A systems model describes how processes interact and
what operations these proce

The Rules of the Game
Combinations of electrical elements are called
circuits or networks. Either of two rules can be
used to analyze circuits: Kirchhoffs Voltage Law
or Kirchhoffs Current Law.
Kirchhoffs Voltage Law (KVL) is based on
conservation of ener

System Simplifications ~ Passive Network Reduction
Circuits can often be simplified by combining elements.
Many quite complex circuits can be reduced to just a few elements
using an approach known as network reduction.
Such simplifications can provide

Second-order term: (1-(/n)2 + j2/n)
Magnitude
Applying the asymptote approach: the high- and low-frequency
asymptotes when is either much greater or much less than n are:
2
lim
TF (low) = < 20 log 1 + j 2 = 20 log(1) = 0 db
n
n
n
( )
2
2
lim
TF (high) =

, / (4,;
a b 2 S It 1 7" [I
VH1 C (W5 [,56WL fjwfeg Frequency (rad/sec) -
Frequency (rad/sec) Phase
Frequency (rad/sec)
Frequency (rad/sec) 1o 10 1o 104 1o
' Frequency (rad/sec)
1o 10 103 1o , 10
Frequency (rad/sec) Phase
5)
100
Frequency (rad/s

devices part 2
review slides
Dr. Drzewiecki
Kirchhoffs Voltage Law: KVL
+ V2
V1
+
+
V3
Illustration of Kirchhoffs Voltage Law (KVL). The
three voltages must sum to zero:
V1 + V2 + V3 = 0
Example 5.1 Find the voltage across the capacitor
Solution. The circ

Basic Analog Electronics:
Operational Amplifiers
Electronics circuits come in two basic varieties: analog and digital.
Digital circuits feature electronic components that produce only two
voltage levels, one high and the other low.
Analog circuit eleme

The v-i plot and Equivalent Resistance
The plots of four different resistors are shown including 0 and
infinity . The equation for a straight line is: y = mx + b,
where m is the slope of the line and b is the intercept.
From Ohms law,
= Ri, so the
voltag

Network Reduction with Sources (continued)
There are two approaches to finding the Thvenin or
Norton Equivalent of a circuit.
1. Find the open-circuit voltage, oc, and the short circuit
current, isc. RT (or RN) is just the ratio of voc/isc
2. Evaluate onl

, / (4,;
a b 2 S It 1 7" [I
VH1 C (W5 [,56WL fjwfeg Frequency (rad/sec) -
Frequency (rad/sec) Phase
Frequency (rad/sec)
Frequency (rad/sec) 1o 10 1o 104 1o
' Frequency (rad/sec)
1o 10 103 1o , 10
Frequency (rad/sec) Phase
5)
100
Frequency (rad/s

Linear System Frequency Plots: The Bode Plot
The Transfer Functions of any linear system will have the
general form:
TF ( ) =
Bj(1 + jk 1 )(1 k 2 2 + jk 3 ).
j(1 + jk 4 )(1 k 5 2 + jk 6 ).
where B is a constant and k1, k2, k3,. etc. are coefficients of th

Resonance
Resonance is a behavior that may occur in almost any system.
It is a frequency dependent behavior characterized by a sharp increase
(or decrease) in some system variables over a limited range of
frequencies.
It occurs frequently in mechanical

The Frequency Characteristics of Circuits
and Systems
Just as signals have frequency characteristics, circuits or
even general systems have frequency characteristics.
Circuit or system frequency characteristics show how the
circuit/system operates on th

The Analysis of Transients: The Laplace Transform
Phasor analysis allows us to analyze any linear system
using algebraic operations, provided all sources are
sinusoidal and in steady-state.
With the aid of the Fourier series analysis, any periodic
signa

332: 309 biomedical devices & Systems
Fall 2012
Dr. Drzewiecki
Homework Assignment #1
Due Monday, September 14
Do all of the following Problems on the next page.
NOTE: Please correct Problem 2 for the new edition of Semmlow to read example1.4 =>example5.1

332: 309 biomedical devices & Systems
Fall 2015
Dr. Drzewiecki
Homework Assignment #6
Due Thursday, November 5
use this page as your cover sheet .staple your answers to it and print and sign your
name below. HAND IN At the beginning of CLASS. If possible

332: 309 biomedical devices & Systems
Fall 2015
Dr. Drzewiecki
Homework Assignment #5
Due Thursday, October 29
use this page as your cover sheet .staple your answers to it and print and sign your
name below. HAND IN At the beginning of CLASS. If possible

332: 309 biomedical devices & Systems
Fall 2015
Dr. Drzewiecki
Homework Assignment #8
Due Thursday, November 19
use this page as your cover sheet .staple your answers to it and print and sign your
name below. HAND IN At the beginning of CLASS. If possible

9/5/14
Biological Systems
Input or
Stimulus
Physiological
System
Output or
Response
A system is a collection of processes or components that interact
for some common purpose, although that purpose may only be
the invention of human intellect.
Many systems

PRACTISE2
2 (10 points) Find the equivalent impedance for the circuit below.
Use =10,000 rad/sec. Give your final impedance in the form of a
phasor.
2. DRAW THE
OP AMP Circuit configurations for an A. Inverting
Amplifier, B. a Non- Inverting Amplifier and