PHYS 217
Course Syllabus
Course Information | Fall 2022
Course Number:
Course Title:
Section:
ENGR/PHYS 217
Experimental Physics and Engineering Lab III: Electromagnetics
ENGR:
507,508,509,516,517,518,519,520,521,528,529,530
PHYS:
519,520,521,522,523,524,531,532,533
HON
205,206,207
HON: 205: (M) 09:10-10:00
Time:
206: (M) 12:40-13:30
207: (M) 16:10-17:00
ENGR: 528/529/530: (M) 15:00-15:50
516/517/518: (R) 14:20-15:10
507/508/509: (F) 15:00-15:50
531/532/533: (R) 17:30-18:20
PHYS: 513/514/515: (M) 15:00-15:50
531/532/533: (R) 15:55-16:45
522/523/524: (F) 16:10-17:00
519/520/521: (F) 13:50-14:40
Location:
ZACH 210
ZACH 248
ZACH 398 E-F
Credit Hours:
ENGR:
PHYS:
HON
Labs
507,508,509,516,517,518,519,520,521,528,529,530
519,520,521,522,523,524,531,532,533
205,206,207
2
Instructor Details
Instructor:
Office:
Phone:
E-Mail:
Office Hours:
Juan A. Cornejo, Ph.D.
ZACH Ste. 424
979.458.5981
juan.cornejo@tamu.edu
TBD
Course Description
Electromagnetism and electromechanical systems; use of sensing, control and actuation to demonstrate
key physical relationships through the transducer relationships linking pressure, temperature and other
physical stimuli to changes in electric and magnetic fields.
Course Prerequisites
C or better in MATH 152 or MATH 172 or equivalent; C or better in PHYS 206; C or better in
PHYS/ENGR 216; grade of C or better or concurrent enrollment in PHYS 207.
The third laboratory course in the freshman sequence focuses on the description and
application of the laws of electromagnetism to the solution of science and engineering
problems. During bi-weekly projects students are introduced to a variety of sensors, their
basic calibration, and will program the computer-based data-acquisition and control
framework. Using sensing, control and actuation these lab projects target experimental
verification of the physics concepts while solving direct engineering problems.
Page 1 of 10
Course Syllabus
Course Expectations
You are expected to:
● Always use your @tamu.edu e-mail account to send correspondence between yourself and the
teaching team. PLEASE, always include your section number in the subject line for all
correspondence! Check your @tamu.edu email account daily.
 Use your Canvas account (http://Canvas.tamu.edu/) to access course information, assignments
and your grades. It is your responsibility to check Canvas regularly and daily at minimum! You
are solely responsible for any class information communicated through Canvas such as
assignment deadlines and extensions. Missed assignments due to unread Canvas messages will
not be accepted!
● Be an active problem solver, contributor, and discussant in lecture and lab.
● Be prepared and accountable for both lecture and lab by reading the assigned material ahead of
time and be able to answer simple questions over said material.
● Be held accountable for all assigned material that is, or is not, explicitly discussed in class.
● Have a public presence in the class.
● Attend class as a community expectation.
● Bring all necessary learning materials to every lecture, such as: computer, calculator, writing
implements and notebooks (traditional or electronic), physical paper and any other material
required by the instructor, in advanced.
● Behave in a professional and respectful manner towards your instructor and fellow peers.
Mode of Instruction
There are 6 labs and 14 lectures in this course.
● Lectures meet in person for one hour per week.
● Labs meet in the Engineering Foundations Lab (ZACH 398) at their assigned time.
Lectures will cover topics including (but not restricted to) material needed for understanding the labs,
applications of electromagnetics to engineering topics, engineering ethics, and art in engineering.
Special Course Designation
NA
Course Learning Outcomes
Conceptual knowledge to gain:
• Understanding the role of the physical laws of electromagnetism to engineering applications.
• Usage of sensors, data-acquisition frameworks, and logic programming to solve specific engineering
applications.
Page 2 of 10
Course Syllabus
Textbook and/or Resource Materials
Lab Manual: ENGR 217/PHYS 217 Lab Manual. The lab manual, and all associated
documents, will be available on the course Canvas site. (There is no text for you to buy.)
You will also need the PHYS 207 textbook - University Physics (Volume 2) by Young and Freedman, 14th
ed., ISBN13: 978-0133978001. Since this is a required book for PHYS 207, you should have purchased it
for that course. (If you are satisfying the PHYS 207 requirement with a different PHYS course, any text
which covers electromagnetism will be fine.)
Technology:
Students are required to have a laptop computer that meets the specifications of the College of
Engineering (see BYOD specifications). If your laptop does not have an RJ45 Ethernet port, you will
have to purchase a USB-to-RJ45 adapter. Students are required to have a smartphone or web cam for
test proctoring.
It is strongly recommended that you use your TAMU Google Drive for teamwork. You will need access
to the YouTube channel associated with your TAMU Google account. Instructions on how to set this up
will be provided on Canvas.
Grading Policy
●
●
●
●
●
Lab assignments (50%) – There are 6 lab assignments over the course of the term. Labs reports
are graded out of 100 points.
Classwork and homework (25%) | (20%) for HONORS Sections – There will be classwork and
homework associated with the 14 lectures in the course.
Home Quizzes (5%) | (NA) for HONORS Sections – There will be open-notes, auto-graded, Canvas
quizzes to complete at home. These are meant to assess your knowledge of fundamental
concepts.
Honors Project (10%) – Honors sections will have an additional research-based semester project
due near the end of the semester.
Final Exam (20%) – There will be a final exam on the material presented in the lectures during the
finals period.
The following grading scale will be used to determine your semester course grade:
100≥A≥90%
90%>B≥ 80%
80%>C≥70%
70%>D≥60%
60%>F
All final course grades are computed without a grading curve!
Syllabus continued on next page
Page 3 of 10
Course Syllabus
Late Work Policy
You will have a 24-hour grace period after the assignment due
date to submit it on Canvas without penalty. Afterwards, the
assignment must be emailed to the lecture PT’s. The assignment
will be deducted 10 points/day after the grace period. You will
have a maximum of 5 days (50-point deduction) to email your
assignment, after which it will become a zero.
Additional Important Information





If the Canvas link for an assignment closes, your assignment is considered beyond the 24-hour
grace period. Unless there is a system-wide Canvas issue, which I can actually verify through
Instructure-Canvas Tech Support, your assignment grade will be deducted 10 points/day.
If Canvas generates an error and does not allow you to upload an assignment, I will require a
screenshot of the error message that includes the computer's system (or phone) clock as proof
of the date and timestamp.
If you have an extenuating circumstance, please talk to me! Life happens and we can work
together to keep you caught up. Please contact me as soon as possible regarding your situation
so I can better assist you. If your situation is of a sensitive nature and you want to speak to me
directly, please email me, come during office hours or catch me around the building & I will
make time or set an appointment so we can talk. I am never too busy to help my students!
If you have a university-excused or a verifiable, medically excused absence, your assignment will
be gladly accepted. Please submit it via email as soon as you are able to or upon returning to
campus, along with proper documentation.
I will drop your single lowest homework grade at the end of the semester. If you miss a
homework assignment, this is the grade that will be dropped (since it will be a zero). You are
encouraged to submit all homework assignments!
Labs: c.f. § “Lab Performance and Lab Report Submission Rules” below for information on late Lab
Report submissions.
Course Schedule
The term schedule is different than in past fall terms because we do not have class on Labor Day (9/5)
nor during the Fall Break (10/10 and 10/11). Thanksgiving week also throws a wrench into the schedule.
You must check the course Multisection to see when your section does labs, and when lab reports are
due! Your section instructor will give you instructions on when lecture assignments are due.
A basic and tentative course schedule is given below. This schedule is subject to change as the needs of
the class arise, so it’s not set in stone! My students are unique, and I tailor the topic sequence to the
needs of my students as the semester progresses.
Page 4 of 10
Course Syllabus
Week
Lecture Topic
Lab Topic
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Meet your DAQ
Errors and Noise
Electric Field
Resistance 1
Resistance 2
Data Analysis Tools
Magnetic Fields
Project Management
Batteries & Lorentz force
Induction
Ethics 1
Ethics 2
Ethics 3
Art in Engineering
No Lab
Lab 1: Intro to DAQ (week 1)
Lab 1: Intro to DAQ (week 2)
Lab 2: Electric Field (week 1)
Lab 2: Electric Field (week 2)
Lab 3: Resistance (week 1)
Lab 3: Resistance (week 2)
Lab 4: Magnetic Fields (week 1)
Lab 4: Magnetic Fields (week 2)
Lab 5: Lorentz Force (week 1)
Lab 5: Lorentz Force (week 2)
Lab 6: Induction (week 1)
Lab 6: Induction (week 2)
No Lab – submit final lab report
Important Dates
Month
August
August
September
October
October
November
Day(s)
24
30
5
10
10-11
18
November
November
December
December
December
December
23
24-25
7
7
9,12-14
19
Event
First day of fall semester classes
Last day (by 5 p.m.) for adding/dropping courses for the fall semester
Labor Day Holiday
Mid-semester grades due
Fall break, No Classes!
Last day (by 5 p.m.) to drop courses with no penalty (Q-drop) or to officially
withdraw from the University
Reading day, no classes
Thanksgiving Holiday
A Wednesday, but students attend Monday classes
Last day of fall semester classes
Final Examinations
Final grades due
Computer Usage
Work in this course will build on your knowledge of Python 3 gained in ENGR 102. You will be
expected to write/modify Python scripts to acquire and analyze data using both your own computer
and the lab computer. The lab computer uses the Linux operating system, and basic instruction on
this OS will be provided.
Page 5 of 10
Course Syllabus
Lab Safety
IMPORTANT For your safety and the safety of other people in the laboratory, the following rules
must be followed.
1. Long pants and closed-toe shoes must be worn at all times.
2. No loose clothing or loose jewelry should be worn. Long hair should be tied back. (This is
to avoid potential entanglement with the moving parts of the air table.)
3. Pay attention to the amperage and voltage limits listed in the labs when using electronic
equipment. (This is to avoid potential shock-hazards.)
You will not be allowed in the lab if you do not follow these rules.
Lab Performance and Lab Report Submission Rules
Please read the following information carefully.
●
●
●
●
●
Labs are done, and lab reports are submitted, in teams of three (3) people. You will be
randomly assigned to a group of three in your section. This group will be for the entire term.
You must not work with students outside your group unless allowed to do so by the Peer
Teachers who are in charge of the lab section.
Each team will be assigned to a lab week (1 or 2). You are expected to do the lab during the
week assigned to your group. This means you should prepare for the lab ahead of entering the
lab – read the lab instructions ahead of time.
Lab reports are a team submission – each team member should contribute in some manner.
Failure to contribute to the team work on a lab and lab report can result in a reduced individual
grade for the lab report.
Lab reports are due one week after the last possible day to perform a lab for a given group (1 or
2). Labs will be submitted through the Canvas multisection site, and due dates will be posted
there.
Labs which are late receive a deduction of 0.5% per hour from their grade – i.e. if you turn your
lab in 1 hour late, your lose 0.5 points out of 100 for that lab, if you turn it in 12 hours late you
lose 6 points out of 100 for that lab, etc. However, labs will not be accepted past 3 days after
their due date. Submission times and deductions are automatically applied by Canvas.
Lab Make-Ups
If you miss your assigned lab period, you will have do a make-up lab for credit.
●
●
●
In order to do this, you will need to submit a make-up lab request on the Canvas multisection.
Your request will only be approved if you have a valid excuse. Valid reasons include medical
excuses and university-excused absences. Invalid reasons include activities such as the need to
leave town early for social events.
You will have to use a video demonstration and online data set to write your lab report. This
report will be an individual submission.
Due dates for make-up labs will follow the same rule as due dates for normal labs – you have
one week after you do it to turn in the report. (This will have to be determined on a case-bycase basis, since it is possible to a student to be sick for an extended duration.
Page 6 of 10
Course Syllabus
University Policies
Attendance Policy
The university views class attendance and participation as an individual student responsibility. Students
are expected to attend class and to complete all assignments.
Please refer to Student Rule 7 in its entirety for information about excused absences, including
definitions, and related documentation and timelines.
Makeup Work Policy
Students will be excused from attending class on the day of a graded activity or when attendance
contributes to a student’s grade, for the reasons stated in Student Rule 7, or other reason deemed
appropriate by the instructor.
Please refer to Student Rule 7 in its entirety for information about makeup work, including definitions,
and related documentation and timelines.
Absences related to Title IX of the Education Amendments of 1972 may necessitate a period of more
than 30 days for make-up work, and the timeframe for make-up work should be agreed upon by the
student and instructor” (Student Rule 7, Section 7.4.1).
“The instructor is under no obligation to provide an opportunity for the student to make up work missed
because of an unexcused absence” (Student Rule 7, Section 7.4.2).
Students who request an excused absence are expected to uphold the Aggie Honor Code and Student
Conduct Code. (See Student Rule 24.)
Academic Integrity Statement and Policy
“An Aggie does not lie, cheat or steal, or tolerate those who do.”
“Texas A&M University students are responsible for authenticating all work submitted to an instructor. If
asked, students must be able to produce proof that the item submitted is indeed the work of that
student. Students must keep appropriate records at all times. The inability to authenticate one’s work,
should the instructor request it, may be sufficient grounds to initiate an academic misconduct case”
(Section 20.1.2.3, Student Rule 20).
§ ”Academic Integrity Statement and Policy” continued on next page
Page 7 of 10
Course Syllabus
The following academic integrity statement applies to all work submitted in this course*:
Academic Integrity Statement
By submitting an assignment (electronic, hard-copy or any acceptable format) with your name and
UIN, you are agreeing and are bound to the academic integrity statement set forth here. As a student
at Texas A&M University, you agree to honor and follow the Aggie Code of Honor (University Rules,
§20.1.2.1):
“An Aggie does not lie, cheat or steal, or tolerate those who do.”
You may collaborate with your peers on applicable assignments or projects to a reasonable extent,
but you must submit your own original work. Clear indication of copying from another student,
solutions manual, online website, homework “help” service (e.g. “Chegg” ™) or any academic
dishonest enterprise will result in an automatic ZERO for the assignment and you will be reported to
the Aggie Honor System Office for review. If you are complicit in any academically dishonest
activity of any form, you will also be held accountable for your participation, even if it is not your
assignment. Thus, you agree to follow ethical practices in preparation for your career as a future
engineering professional.
*Statement does not necessarily have to be printed/present on the assignment itself. This statement
automatically applies universally to all work submitted in this course with your identifying information.
Texas A&M at College Station
You can learn more about the Aggie Honor System Office Rules and Procedures, academic integrity, and
your rights and responsibilities at aggiehonor.tamu.edu.
Americans with Disabilities Act (ADA) Policy
Texas A&M University is committed to providing equitable access to learning opportunities for all
students. If you experience barriers to your education due to a disability or think you may have a
disability, please contact the Disability Resources office on your campus (resources listed below)
Disabilities may include, but are not limited to attentional, learning, mental health, sensory, physical, or
chronic health conditions. All students are encouraged to discuss their disability related needs with
Disability Resources and their instructors as soon as possible.
Texas A&M at College Station
Disability Resources is located in the Student Services Building or at (979) 845-1637 or visit
disability.tamu.edu.
Syllabus continued on next page
Page 8 of 10
Course Syllabus
Title IX and Statement on Limits to Confidentiality
Texas A&M University is committed to fostering a learning environment that is safe and productive for
all. University policies and federal and state laws prohibit gender-based discrimination and sexual
harassment, including sexual assault, sexual exploitation, domestic violence, dating violence, and
stalking.
With the exception of some medical and mental health providers, all university employees (including full
and part-time faculty, staff, paid graduate assistants, student workers, etc.) are Mandatory Reporters
and must report to the Title IX Office if the employee experiences, observes, or becomes aware of an
incident that meets the following conditions (see University Rule 08.01.01.M1):
●
●
The incident is reasonably believed to be discrimination or harassment.
The incident is alleged to have been committed by or against a person who, at the time of the
incident, was (1) a student enrolled at the University or (2) an employee of the University.
Mandatory Reporters must file a report regardless of how the information comes to their attention –
including but not limited to face-to-face conversations, a written class assignment or paper, class
discussion, email, text, or social media post. Although Mandatory Reporters must file a report, in most
instances, a person who is subjected to the alleged conduct will be able to control how the report is
handled, including whether or not to pursue a formal investigation. The University’s goal is to make sure
you are aware of the range of options available to you and to ensure access to the resources you need.
Texas A&M at College Station
Students wishing to discuss concerns in a confidential setting are encouraged to make an appointment
with Counseling and Psychological Services (CAPS).
Students can learn more about filing a report, accessing supportive resources, and navigating the Title IX
investigation and resolution process on the University’s Title IX webpage.
Statement on Mental Health and Wellness
Texas A&M University recognizes that mental health and wellness are critical factors that influence a
student’s academic success and overall wellbeing. Students are encouraged to engage in healthy selfcare by utilizing available resources and services on your campus
Texas A&M College Station
Students who need someone to talk to can contact Counseling & Psychological Services (CAPS) or call the
TAMU Helpline (979-845-2700) from 4:00 p.m. to 8:00 a.m. weekdays and 24 hours on weekends. 24hour emergency help is also available through the National Suicide Prevention Hotline (800-273-8255) or
at suicidepreventionlifeline.org.
Page 9 of 10
Course Syllabus
--------------------------------------------------------------------------------------------------------------------------------------
Syllabus Acknowledgement
Please read and fill out the following form. Print your name, sign and date, acknowledging that you
have received and read the course syllabus. Please scan this page or take a photograph of it and upload
the file to Canvas in the appropriate homework module by the due date. This will be your first
homework assignment, so please do not forget to submit it!
Syllabus Receipt Acknowledgment
I have received and read the course syllabus for ENGR/PHYS 217 Section________________(FAL 2022)
taught by Dr. Juan A. Cornejo. I will abide by the rules and stipulations set forth in the syllabus and
conduct myself in an academically honorable manner, upholding the proud traditions of a Texas A&M
University Aggie Engineer. I will respect my fellow classmates, my instructor and myself at all times and
will do my very best to excel academically in this course.
_____________________________________
Printed Name
__________________________________________
Signature
____________________________
Date
I, Juan A. Cornejo, Ph.D., as the instructor of record of ENGR/PHYS 217 for the FALL 2022 semester,
commit to providing my students with quality instruction and a positive classroom climate, to the very
best of my professional ability. I will employ sound pedagogical methods & my best efforts to motivate
my students and give them the knowledge, tools and opportunities to help them succeed academically
and professionally.
__________________________________________
Juan A. Cornejo, Ph.D.
August 24, 2022
________________________________
Date
Page 10 of 10
ENGR/PHYS 217: TAMU-CS Campus
FALL 2022
Dr. J.A. Cornejo
Week 03/Lecture 03
Lecture Example Problems
902sm
·
E1
Electric Field on a Point Charge
is
t
r
,
=
e
↑
=
=
Toe
-1
A particle has a charge of −5.0 𝑛𝐶. Find the magnitude and direction of the electric field due to this particle at a point
which is 0.250 𝑚 directly above it. Next, at what distance from this particle does its electric field have a magnitude of
12.0 𝑁/𝐶?
F
F GE
9
k909
(8 998x109) 5 x 10 9) /
-
=
E
=
12
r
E2
=
Ea **
-
=
& r2
F=
.
-
[0 25)
2
Y =GE
.
to find distance
Application of Coulomb’s Law on Point Charges
I
E
12
-
-
719
Two point charges are placed on the x-axis in the following arrangement: Charge 𝑞 = +4.00 𝑛𝐶 is placed at 𝑥 =
0.200 𝑚 and charge 𝑞 = +5.00 𝑛𝐶 is at 𝑥 = −0.300 𝑚.
What are the magnitude and direction of the total force exerted by these two charges on a separate point charge 𝑞 =
−6.00 𝑛𝐶 that is placed at the origin?
ENGR/PHYS 217: TAMU-CS Campus
FAL 2022
Dr. J.A. Cornejo
Due: TUES 09/13/22
Homework No. 02
Student Name No.1
Section No.
Student Name No. 2
Delaney Peterson
531
Savannah
Total Possible Points
Raw Score
Normalized Score
Section No.
McKenzie
531
Grader
Academic Integrity Statement
By submitting an assignment (electronic, hard-copy or any acceptable format) with your name and UIN, you are agreeing and are
bound to the academic integrity statement set forth here. As a student at Texas A&M University, you agree to honor and follow the
Aggie Code of Honor (University Rules, §20.1.2.1):
“An Aggie does not lie, cheat or steal, or tolerate those who do.”
You may collaborate with your peers on applicable assignments or projects to a reasonable extent, but you must submit your own
original work. Clear indication of copying from another student, solutions manual, online website, homework “help” service (e.g.
“Chegg” ™) or any academic dishonest enterprise will result in an automatic ZERO for the assignment and you will be reported to
the Aggie Honor System Office for review. If you are complicit in any academically dishonest activity of any form, you will also
be held accountable for your participation, even if it is not your assignment. Thus, you agree to follow ethical practices in
preparation for your career as a future engineering professional.
Remember! To receive full credit for any problem, you must show all work, pertinent mathematical derivation(s), steps
followed or procedure (only when applicable), and clearly defined result with the correct units. All work must be legible!
If the PTs or I are unable to read it, it’s wrong. Failure to show clear engineering, mathematical or physics logic in your
solution will forfeit full credit for the problem.
Problems and individual parts of multi-part problems will be graded based on the following simplified scale:
E: Excellent (3 points): Excellent effort. Problem completed and numerical answer & units correct. Superior
understanding of material, mathematical concepts and sound engineering logic is evident.
S: Satisfactory (2 point): Good effort. Problem essentially completed with correct setup. Numerical answer or units
slightly incorrect or missing. Good understanding of material, mathematical concepts, problem and solution
methodology is evident. Displays satisfactory engineering logic.
N: Needs improvement (1 point): Minimal effort. Problem partially done. Setup partially correct. Numerical answer or
units incorrect or missing. Minimal or incomplete understanding of material, mathematical concepts and
problem/solution methodology.
U: Unsatisfactory (0 points): No effort. Problem/problem part not done or essentially not done. Numerical answer
missing or absolutely incorrect (completely off). No evidence of understanding the material or solution methodology.
Assignment Begins on Next Page
ENGR/PHYS 217: TAMU-CS Campus
FAL 2022
Dr. J.A. Cornejo
Due: TUES 09/13/22
Homework No. 02
Concept/Theory
Q.01 (3)
A ___________________ADC compares a known voltage to the unknown measurement voltage, continually adjusting
the known voltage until its value equals that of the unknown measured value.
:
(a)
(b)
(c)
(d)
(e)
=
continuous approximation
successive approximation
error-compensating
predictor-corrector
None of the choices are correct
Q.02 (6)
A customer comes into your store looking for an ADC for a middle school technology class. She explains that her
students will be performing basic experiments to help them learn about STEM careers. You decide to offer her your best
ADC with a 24-bit resolution, explaining to her that anything with less resolution will be inaccurate for her class. Based
on her needs, are you being truthful to the customer? Explain.
You
Q.03 (10)
are
are
not
truthful
being
usually
not
any
.
Resolutions
more
that are
accurate
,
so
24
greater
-
bit
is
than
not
Match the terms with their corresponding definitions.
Term
A Precision
B Accuracy
C Systematic errors
D Randoms errors
E Physical gauge
F Digital instrument
G DAC
H DAQ
I ADC
J Noise
Answer
4
6
2
5
I
3
9
10
7
8
Description
1 ± 1/10 of smallest graduation/measurement
/
2 errors affecting accuracy
/
3 ±1/2 of the smallest measurement
/
4 how close several measured values are to each other
/
5 errors affecting precision
/
6 how close is the measured value to true value
/
7 analog to digital converter
1
8 Random errors in electronic systems
I
9 digital to analog converter
I
10
I data acquisition system
Continued on next page
14
-
bit
needed
.
ENGR/PHYS 217: TAMU-CS Campus
FAL 2022
Dr. J.A. Cornejo
Due: TUES 09/13/22
Homework No. 02
Q.04 (5)
Fill in the boxes below.
Mathematical Expression
𝑥±
✗±
𝑥±
2𝜎
Egg
1.96
99.7%
2.97
𝜎
1
68%
√𝑁
=
𝟐
95%
√𝑁
Zayz
𝒁𝜶
Percentage Confidence Level
{
f- %)
2-426
( yn )
confidence
=
level
Computation
For the following three problems (Q.05-07) consider the following data collection:
You are measuring the bulk air temperature in a closed-loop benchtop wind tunnel. You take five readings of the
temperature and determine the average temperature is 77℃ with a standard deviation of 4℃. You report the
following information:
𝑇 = 77℃ ± 1.8℃ (68% confidence level)
Q.05 (3x9=27)
You decide to improve the precision of your measurements, keeping the same confidence level. Being careful with your
technique, you manage to keep constant the sample standard deviation. For each of the samples with 𝑁 = 10, 15, 20
measurements, find:
(a) The updated precision. (make sure you write out the complete measurement) (3)
(b) The percentage improvement in the precision (3)
(c) Is there a significant improvement in the precision with more measurements for each sample? Would you keep
adding more measurements? Explain. (3)
I ±
E.
Answers:
(a)
N=10: 77℃ ± 1.3℃ (68% 𝐶𝐼)
N=15: 77℃ ± 1.0℃ (68% 𝐶𝐼)
N=20: 77℃ ± 0.9℃ (68% 𝐶𝐼)
A)
N= to
N
-
_
15
N -20
-
(b)
N=10: ~28%
N=15: ~44%
N=20: ~50%
c)
There
in
77°
:
:
:
=
±
is
◦
,¥g
=
4-
±
77° ± 1.0°C
I
-10 :
-
.
=
77° I 0.9°C
=
N
I would
precision
.
28
=
-
.
44
,
V20
has
=
-
28%
N= 15 : I
=
significant improvement
a
precision
until
77° ± 1.3°C
N
=
77° ±
7>
B)
add
improved
more
20 :
=
44%
I
-
Y¥=.5
50%
measurements
greatly
.
ENGR/PHYS 217: TAMU-CS Campus
FAL 2022
Dr. J.A. Cornejo
Due: TUES 09/13/22
Homework No. 02
Q.06 (15)
You decide that you want to improve the confidence level of your data set to 95%, keeping the same standard deviation
of 4℃ with an average temperature of 77℃.
(a) What are your new temperature limits with a sample size of 𝑁 = 10. (3)
(b) Compare your answer to the 68% confidence level. What is the ∆𝑇 between the two limits? Explain your
answer. (6)
(c) Compute the mean temperature’s precision limits if you increase your confidence level to 99.7% and keep all
other parameters the same. (3)
(d) If you improve your measurement technique and reduce the standard deviation by 2℃, how will your precision
change? Explain. You can use any confidence level to explain/prove your answer. (3)
Answers:
(a) 77℃ ± 2.5℃ (95% 𝐶𝐼)
(b) ∆𝑇
~1.2℃
(c) 77℃ ± 3.7℃ (99.7% 𝐶𝐼)
Q.07 (9)
A) 77°C ±
Z-
B) AT
For
=
77°C ±
68%
AT for
68%
confidence
c)
77°C ±
3
is
=
2.5°C
is
1.3°C
,
AT for
95%
uncertain but
less
has
,
D)
77°C ± 3.7°C
7> ±
3¥
2.5°C
is
less
1.9°C
=
.
this is
,
more
precise
Last, you decide that you want to reduce the error of your measurements so that your mean temperature deviates only
by ±1.5℃, keeping a standard deviation of 4℃ with a 95% confidence level.
(a) How many measurements will you need to take (N) to achieve this? (6)
(b) Is this a feasible/reasonable task? Explain. (3)
Answers:
A) 77°
±
(a) 𝑁~28
21¥
=
77°
N = 28.44
take
B) this is
slightly
±
1.5°C
,
you
28
reasonable
more than
would
need to
measurements
because
20
it
is
.
only
measurements
.
1.8°