General Physics 2 Activity Sheet
Quarter 4 – MELC 3
Week 1
Force on Current Carrying Wires
REGION VI – WESTERN VISAYAS
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General Physics 2
Activity Sheet No. 3: Force on Current Carrying Wires
First Edition, 2021
Published in the Philippines
By the Department of Education
Region 6 – Western Visayas
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Visayas.
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reproduced or transmitted in any form or by any means electronic or mechanical
without written permission from the DepEd Regional Office 6 – Western Visayas.
Development Team of General Physics 2 Activity Sheet
Writer: Joemarie S. Selibio
Editors: Jave N. Salinas
Glenn Mark D. Fallera
Schools Division Quality Assurance Team:
Mary Regina N. Alkonga
Noemi A. Salvador
Stella J. Tacuyan
Division of Iloilo City Management Team:
Ma. Luz M. De Los Reyes
Ernesto F. Servillon Jr.
Arlo L. Villalva
Leila G. Valencia
Regional Management Team:
Ramir B. Uytico
Pedro T. Escobarte, Jr.
Elena P. Gonzaga
Donald T. Genine
Rovel R. Salcedo
Moonyeen C. Rivera
Anita S. Gubalane
Minda L. Soldevilla
Daisy L. Lopez
Joseph M. Pagalaran
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Introductory Message
Welcome to General Physics 2 for Grade 12!
The Learning Activity Sheet is a product of the collaborative efforts of the
Schools Division of Iloilo City and DepEd Regional Office VI - Western Visayas through
the Curriculum and Learning Management Division (CLMD). This is developed to
guide the learning facilitators (teachers, parents and responsible adults) in helping the
learners meet the standards set by the K to 12 Basic Education Curriculum.
The Learning Activity Sheet is self-directed instructional materials aimed to
guide the learners in accomplishing activities at their own pace and time using the
contextualized resources in the community. This will also assist the learners in
acquiring the lifelong learning skills, knowledge and attitudes for productivity and
employment.
For learning facilitator:
The General Physics 2 Activity Sheet will help you facilitate the teachinglearning activities specified in each Most Essential Learning Competency (MELC) with
minimal or no face-to-face encounter between you and learner. This will be made
available to the learners with the references/links to ease the independent learning.
For the learner:
The General Physics 2 Activity Sheet is developed to help you continue
learning even if you are not in school. This learning material provides you with
meaningful and engaging activities for independent learning. Being an active learner,
carefully read and understand the instructions then perform the activities and answer
the assessments. This will be returned to your facilitator on the agreed schedule.
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Name of Learner:
___________________________________________________
Grade and Section:_______________________________Date: ________________
GENERAL PHYSICS 2 ACTIVITY SHEET No. 3
Force Per Unit Length on Current Carrying Wires
I.
Learning Competency with Code
Calculate the force per unit length on a current carrying wire due to the magnetic field
produced by other current-carrying wires. STEM_GP12EMIIIi-63
II. Background Information for Learners
When current Carrying conductors are close to one another they produce a
Magnetic Field as well as Magnetic Force that may affect one another. Consider
Figure 1 below.
Figure 1. Two current carrying wires separated by distance dy producing
Magnetic Fields and Forces. If two currents are of the same direction they
attract. However, they repel when currents are on opposite direction.
Considering the upper wire, you can determine the magnitude of lower wire’s
magnetic field using the formula
⃗𝑩
⃗ = µ𝒐 𝑰𝟐 (eq. 1)
𝟐𝝅𝒅𝒚
You can also determine the Force that this field exert on the upper conductor
⃗ 𝑥𝐼1 𝐿 , where I1 refers to the current on conductor 1 and L
using the formula 𝐹 = 𝐵
for the length of the wire influenced by Magnetic Field.
You can therefore determine the Magnitude of Force using the equation
𝐹 = 𝐵𝐼1 𝐿 (eq. 2)
Getting the ratio F/L will result to an equation
𝐹
= 𝐵𝐼1 (eq.3)
𝐿
1
Substituting the magnitude of equation 1 to equation 3 will result to
𝐹
µ𝒐 𝑰𝟐
=
𝑰
𝐿 𝟐𝝅𝒅𝒚 𝟏
The equation above is the Force per unit Length considering two long, parallel
current carrying conductors.
Take note that when two currents are moving in the same direction in a straight
current carrying conductor parallel to each other they will produce an attractive
force. However, when two currents are moving in the opposite direction they will
repel each other.
III.
Activity Proper
Activity 1
Directions:
• Study the Ideas and the Sample problems presented.
• Complete the data by computing F/L in the assigned task
• Express your answer in scientific notation with two significant figures
• Analyze and answer the guide questions.
• Write your answer on a separate sheet of paper.
Sample Problem 1
Peter, a STEM student from Iloilo City, is conducting an investigatory project
related to forces on current carrying wires would like to determine the ratio of F/L
between two wires by setting up two long and straight parallel wires 0.07 m apart
from each other. He also allows each wire to receive the same amount of current
equal to 30 A. What value of F/L will be obtained by Peter?
Solution
Given:
Distance between wires (dy)= 0.07 m
I1 =I2 = 30A
Asked:
F/L
Process:
𝐹
µ 𝒐 𝑰𝟐
(𝟒𝜋𝑥10
=
𝑰𝟏 =
𝐿 𝟐𝝅𝒅𝒚
−7
𝑇. 𝑚/𝐴)(30𝐴)(30𝐴)
= 𝟐. 𝟔𝒙𝟏𝟎−𝟑 𝑵/𝒎
𝟐𝜋(0.07)
2
Case:
Peter is a STEM student from Iloilo City who is trying to evaluate the
relationship of variables considering the Magnetic Forces experienced by two
long and straight current carrying wires. In his experiment, he varied some
variables and observed what will happen to the ratio F/L.
Task 1: The F/L when current I2 is varied
(Notice that Peter varied the magnitude of I2)
µ𝒐
𝟐𝝅
dy (meters)
I1
(Ampere
)
I2
(Ampere
)
4𝜋 x10-7 Tm/A
6.28
0.07
30
30
4𝜋 x10-7 Tm/A
6.28
0.07
30
60
4𝜋 x10-7 Tm/A
6.28
0.07
30
90
4𝜋 x10-7 Tm/A
6.28
0.07
30
120
F/L
(N/m)
Task 2: The F/L When Both Current I is Varied
(Notice that Peter varied the magnitude of both I)
µ𝒐
𝟐𝝅
dy (meters)
I1
(Ampere
)
I2
(Ampere
)
4𝜋 x10-7 Tm/A
6.28
0.07
30
30
4𝜋 x10-7 Tm/A
6.28
0.07
60
60
4𝜋 x10-7 Tm/A
6.28
0.07
90
90
4𝜋 x10-7 Tm/A
6.28
0.07
120
120
3
F/L
(N/m)
Task 3: The F/L When the distance between two wires is Varied
(Notice that Peter varied the distance of separation between current
carrying wires)
µ𝒐
𝟐𝝅
dy (meters)
I1
(Ampere
)
I2
(Ampere
)
4𝜋 x10-7 Tm/A
6.28
0.07
30
30
4𝜋 x10-7 Tm/A
6.28
0.14
30
30
4𝜋 x10-7 Tm/A
6.28
0.21
30
30
4𝜋 x10-7 Tm/A
6.28
0.28
30
30
F/L
(N/m)
Guide Questions
1. How will you describe the relationship that exist between F/L and the Magnitude
of Current on the second wire?
______________________________________________________________
______________________________________________________________
2. How will you describe the relationship that exist between F/L and the Magnitude
of Current’s Product?
______________________________________________________________
______________________________________________________________
3. How will you describe the relationship that exist between F/L and the distance
between two wires?
______________________________________________________________
______________________________________________________________
IV.
Reflection
I understand
___________________________________________________________
___________________________________________________________
I don’t understand
___________________________________________________________
___________________________________________________________
I need more information about
___________________________________________________________
___________________________________________________________
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5
B. The F/L When Both Current I is Varied
(Notice that Peter varied the magnitude of both I)
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
𝟐𝝅
µ𝒐
dy (meters)
0.07
0.07
0.07
0.07
120
120
90
90
60
60
30
30
I2
(Ampere)
I1
(Ampere)
F/L
(N/m)
2.6𝑥10−3 𝑁
/𝑚
1.0𝑥10−2 𝑁
/𝑚
2.3𝑥10−2 𝑁
/𝑚
4.1𝑥10−3 𝑁
/𝑚
A. The F/L When Current I2 is Varied
(Notice that Peter varied the magnitude of I2 )
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
𝟐𝝅
µ𝒐
dy (meters)
0.07
0.07
0.07
0.07
120
30
90
30
5.1𝑥10−3 𝑁
/𝑚
60
30
2.6𝑥10−3 𝑁
/𝑚
30
30
I2
(Ampere)
I1
(Ampere)
F/L
(N/m)
7.7𝑥10−3 𝑁
/𝑚
1.0𝑥10−2 𝑁
/𝑚
V.
Answer Key
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2. Guide Questions
1. How will you describe the relationship that exist between F/L and the Magnitude of
Current on the second wire?
Ans. As the magnitude of current on the second wire increases, the value of F/L also
increases.
2. How will you describe the relationship that exist between F/L and the Magnitude of
Current’s Product?
Ans. As the Product of both current increases, the value of F/L also increases.
3. How will you describe the relationship that exist between F/L and the distance between
two wires?
Ans. As the distance between the first and the second wire increases, the value of F/L
decreases.
C. The F/L When the distance between two wires is Varied
(Notice that Peter varied the distance of separation between current carrying
wires)
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
6.28
4𝜋x10-7 Tm/A
𝟐𝝅
µ𝒐
30
0.28
30
0.21
30
0.14
30
30
0.07
I2
(Ampere)
I1
(Ampere)
dy (meters)
30
30
30
F/L
(N/m)
2.6𝑥10−3 𝑁
/𝑚
1.3𝑥10−3 𝑁
/𝑚
8.6𝑥10−4 𝑁
/𝑚
6.4𝑥10−4 𝑁
/𝑚
VI. Link and other References
“Resnick, Halliday, Krane: Physics, Volume 1, 5th Edition - Student Companion
Site.”
Wiley.com,2021.http://bcs.wiley.com/hebcs/Books?action=index&itemId=04713
20579&itemTypeId=BKS&bcsId=1458.
book-info.com – Sascha Hendel. “3,000 Solved Problems in Physics –
Schaum’s Solved Problems Series [McGraw-Hill: First Edition].” book-info.com,
2011. https://www.book-info.com/isbn/0-07-025734-5.htm.
“University Physics with Modern Physics | Hugh D. Young, Roger A. Freedman
| Download.” 1lib.ph. Z-Library, 2015.
https://1lib.ph/book/604468/daf477?regionChanged=&redirect=182684539.
“Physics for Scientists & Engineers : Serway, Raymond a : Free Download,
Borrow, and Streaming : Internet Archive.” Internet Archive, 2014.
https://archive.org/details/physicsforscient00serw.
“Calculate Force per Unit Length Acting on the Wire B due to the Current
Flowing in the Wire A.” Toppr Ask, 2019.
https://www.toppr.com/ask/question/calculate-force-per-unit-length-acting-onthe-wire-b/.
“Zigya - for the Curious Learner.” Zigya.com, 2021.
https://www.zigya.com/study/book?class=12&board=cbse&subject=Physics&b
ook=Physics+Part+I&chapter=Moving+Charges+And+Magnetism&q_type=&q_
topic=Magnetic+Force&q_category=&question_id=PHEN12049901.
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