NAME:_
125:201 INTRODUCTION TO BIOMEDICAL ENGINEERING, Fall 2011
Bioelectrical Phenomena
Instructor: Nada Boustany
Exam #3- Closed book exam. Calculators permitted.
ANSWER KEY
Equations, relationships and variables:
From electrostatics in one dimension:
s

The Sinusoidal Waveform
A sinusoidal waveform is defined as:
2 t
x (t ) = A sinpt = A sin2 fpt = A sin
T
where A is the signal amplitude, specifically the peak-to-peak
amplitude, T is the frequency in radians per second, fp is the
frequency in Hz, and

125:201 INTRODUCTION TO BIOMEDICAL ENGINEERING, Spring 2014
Sample Circuit Problems
Problem 1:
In class, we wrote an expression for the voltage across the membrane at rest. In this
problem you are asked to derive this expression by showing all the details

NAME:_
125:201 INTRODUCTION TO BIOMEDICAL ENGINEERING, Fall 2011
Bioelectrical Phenomena
Instructor: Nada Boustany
Exam #3- Closed book exam. Calculators permitted.
Equations, relationships and variables:
From electrostatics in one dimension:
Gauss law:
O

NAME: _
INTRO TO BME: PART 1 - INTRO TO BIOCHEMICAL ENG
FORMULAS AND CONSTANTS
Mass fraction of A = mA/mtotal Mole fraction of A = nA/ntotal Volume fraction of A = VA/Vtotal
m = V
nA = CA V

Department of Biomedical Engineering
14:125:201 Introduction to Biomedical Engineering
Practice Exam/Problems - Solutions
Short Answer (5 points each)
1. A) I approach a door and grab the knob with my right hand, pa

Department of Biomedical Engineering
14:125:201 Introduction to Biomedical Engineering
Practice Exam/Problems
1. A) I approach a door and grab the knob with my right hand, palm facing up. I turn the knob
counter-c

Review Questions
1) Define the following terms:
medial - nearer or towards the median plane
lateral - further from the median plane
anterior or ventral - nearer to the front of the body
posterior or dorsal - nearer to the back of the body
superior or ceph

125:201 INTRODUCTION TO BIOMEDICAL ENGINEERING, Spring 2014
Sample Circuit Problems - Solutions
Problem 1:
In class, we wrote an expression for the voltage across the membrane at rest. In this
problem you are asked to derive this expression by showing all

NAME: _
Quiz #1 Solutions: Biomechanics and Biomaterials (10 points)
1. Which branch of biomechanics best describes each situation? Connect items
(with lines) from left column to those of right column.

Test is scheduled for October 14.
The test is closed book, closed notes. You are allowed to bring one Notes
Page (8.5 by 11 inch paper, both sides) with you with notes you choose to
create. You should review the Key Ideas and Formulas secton at the end of

14:125:208: Introduction to Biomechanics
Homework Assignment #5
Spring 2007
Due 3/08/07
Problem 1: Ozkaya and Nordin Problem 7.6
In order to complete this problem we first write out the
equations of Static Equilibrium
(a)
F
y
= 0 R A + T1 W1 + T2 W2 = 0
l

14:125:208: Introduction to Biomechanics
Exam #1 Review Problems
Spring 2012
To be discussed in class 2/20/12
This assignment is all old exam problems. If you can work through these you
should have no problem with the exam.
Problem 1: A biomechanics gradu

125:201 Introduction to Biomedical Engineering
Biomechanics, Homework #2
Due Monday October 25th
Problem 1
A) Find the joint reaction force, R, and the abductor muscle force, M, in the right hip when
a woman stands on her right leg while carrying a 25kg s

Frequency Transformations
Probing a Signal
Complex signals such as the EEG signal shown previously
could be analyzed by probing with reference signals
Crosscorrelation provides a mechanism for finding out if
sinusoids are embedded in a complicated signa

ANALOG ANALYSIS in
SINUSOIDAL STEADY-STATE
The
two approaches are used to simplify the analysis
of systems. The approaches circumvent the need to
solve differential equations.
The Laplace Transform is the most general, and is
the most frequently used si

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

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

14:125:208: Introduction to Biomechanics
Homework Assignment #4
Spring 2010
Due 2/22/10
Problem 1: (Anatomical Terms)
1) The _ plane divides the body
into right and left halves.
5) The scapula (shoulder blade) is
_ to the vertebral column.
A) transverse
B

Linear Systems Analysis
A linear system has proportionality of response (twice as
much in, twice as much out).
Stated mathematically:
y = f(x); where f is a linear function, then:
ky = f(kx)
Differentiation and integration are linear operations, so that
p

Easy example3.5 in Ozkaya and Nordin
What force and moment are produced at
the elbow, B, and the shoulder, A?
Assume a=0.25m, b=0.3m, F=200N.
What force and moment are produced at
elbow, B, and shoulder, A? Assume
a=0.25m, b=0.3m, F=200N.
Net force of ext

14:125:208: Introduction to Biomechanics
Exam #1 Review Problems
Spring 2012
To be discussed in class 2/2/12
This assignment is all old exam problems. If you can work through these you should have no
problem with the exam.
Problem 1: A biomechanics gradua

14:125:208: Introduction to Biomechanics
Homework Assignment #6
Spring 2007
Due 3/27/07
Problem 2:
Two cylinders are subjected to an equally distributed load F = 6 kN in two different
configurations. The aluminum (gray) rod (E = 69 GPa) has a diameter of

125:201 Introduction to Biomedical Engineering
Biomechanics, Homework #1
Due Monday October 17th
Problem 1: (Muscle Physiology)
a) A non-hydrolyzable analog of ATP which uses a methylene linkage (-CH2-)
instead of oxygen (O) between the terminal phosphate