SlideShare a Scribd company logo
1 of 12
ELECTRIC FORCES
EVIDENCE FOR ELECTRIC FORCES:
• The discovery of electricity is generally
credited to the Greeks and is thought to have
occurred around 2600 years ago.
• People observed electric charges and the forces
between them. Many of their observations made
use of a material called amber.
• The Greek word for amber, ‘elektron’,is the
origin of the terms electricity and electron.
• Amber is the dried, hardened sap
from certain trees. Small creatures
or bits of plant material are often
preserved inside.
• When a plastic or amber rod is rubbed
with fur, the rod acquires an electric
charge.
• A charged rod attracts small bits
of paper and other objects.
ELECTRIC CHARGE
TWO TYPES OF ELECTRIC CHARGE:
• Unlike charges attract, i.e. a positive charge and a
negative charge attract each other.
EXPERIMENT DEMONSTRATES:
• POSITIVE CHARGE
• NEGATIVE CHARGE
• Like charge repel i.e. two positive charges or two negative
charges and repel each other.
STRUCTURE OF AN
ATOM All objects are composed of atoms.
Size of an atom is 0.1nm
Size of nucleus in an atom is 0.1pm
𝑚𝑝 = 𝑚𝑛 = 1.67×10−27
𝑘𝑔
A proton has a positive charge, and the electron a
negative charge. The neutron carries no charge.
Electron and the nucleus attract each other. This attraction
is called electrostatic force, the force that holds the
electron in orbit.
Charge is conserved. The total charge on an object
is the sum of all the individual charges carried by
the object.
The total charge can be positive, negative, or zero.
Charge can move from place to place, and from one
object to another, but the total charge of the
universe does not change.
This important observation brings us to a very
fundamental law in physics: the law of conservation
of electric charge. This law states that the net
charge of an isolated system remains constant.
THE UNIT OF CHARGE
• Charge comes in quantized units. All protons carry the same amount of charge +e, all electrons carry a
charge –e.
Q = ne
where n = 1, 2, 3, ……….. and e = 1.6x10-19 C , is the elementary charge.
• The SI standard unit of charges is the Coulomb, which is represented by the symbol C. The charge on a
single electron is,
electron charge = -e = -1.6x10-19 C
And the charge carried by a single proton is
proton charge = +e = +1.6x10-19 C
CHARGE QUANTISATION
CONDUCTORS AND INSULATORS
Insulators do not allow electric charge to move easily through them.
In conductors, the outermost electrons (or the valence electron) in atoms are loosely bound.
CHARGING BY FRICTION Charging by Conduction
Charging By Induction
ELECTRIC FORCES AND COULOMB’S LAW
𝐹 = 𝑘
𝑞0𝑞1
𝑟2
Where ε0 is called the permittivity of space,
ε0 = 8.85 x 10-12 C2/N · m2
K =
1
4πε0
’ in free
space
k = 8.99 x 109 N·m2/C2
SUPERPOSITION OF ELECTRIC CHARGES
Suppose two particles of charge q1 and q3 are separated by a distance as shown in the
figure, what is the force on a third charge q2?
According to the superposition principle, the resultant force on q3 is given by:
F = F12 + F13
Example : The figure below shows three small charges, q1 = –2μC, q2 =5μC, q3 =3μC, located along the
positive x-axis. What is the (i) direction, and (ii) magnitude of the resultant force exerted by these two
charges on q2?
Solution:
(i) The force, F12 K exerted by Q1 on Q2 is attractive because these two charges have opposite signs. Similarly,
the force F32 K exerted by Q3 on Q2 is repulsive because both these two charges have the same sign.
(ii) The magnitudes of these forces are given by Coulomb’s Law:
F12 = k
q1q2
r12
2 = (9.0x109)
(2.0 10−6 )(5.0 10−6 )
(0.03)2
= 100 N
F32 = k
q3q2
r32
2
= (9.0x109)
(3.0 10−6 )(5.0 10−6 )
(0.03)2
= 150 N
The magnitude of the resultant force is thus 150+100=50 N. This resultant force points in the –
x direction.

More Related Content

Similar to LECTURE 1.pptx

01 Electric Fieeld and charges Notes.pdf
01 Electric Fieeld and charges Notes.pdf01 Electric Fieeld and charges Notes.pdf
01 Electric Fieeld and charges Notes.pdfstudy material
 
5.1 electric fields
5.1 electric fields5.1 electric fields
5.1 electric fieldsPaula Mills
 
electric charges and fields class 12 study material pdf download
electric charges and fields class 12 study material pdf downloadelectric charges and fields class 12 study material pdf download
electric charges and fields class 12 study material pdf downloadVivekanand Anglo Vedic Academy
 
Charge and Its Property
Charge and Its PropertyCharge and Its Property
Charge and Its PropertyAnkur Patel
 
Electrical Charges and Coulomb's Law.pptx
Electrical Charges and Coulomb's Law.pptxElectrical Charges and Coulomb's Law.pptx
Electrical Charges and Coulomb's Law.pptxReymartSupleo
 
Ajal electrostatics slides
Ajal electrostatics slidesAjal electrostatics slides
Ajal electrostatics slidesAJAL A J
 
Physics 2 electrostatics
Physics 2 electrostaticsPhysics 2 electrostatics
Physics 2 electrostaticsedmar alonzo
 
General Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptxGeneral Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptxDesireeJoyMundaAbeni
 
General Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptxGeneral Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptxDesireeJoyMundaAbeni
 
CLASSXII (PHYSICS) Chapter 10 electrostatics
CLASSXII (PHYSICS) Chapter 10   electrostaticsCLASSXII (PHYSICS) Chapter 10   electrostatics
CLASSXII (PHYSICS) Chapter 10 electrostaticsPooja M
 
1.1 electric charge
1.1 electric charge1.1 electric charge
1.1 electric chargesitizalina96
 
Chapter1: Coulomb's Law
Chapter1: Coulomb's LawChapter1: Coulomb's Law
Chapter1: Coulomb's LawAbd Tamuri
 
5.1 electric fields
5.1 electric fields5.1 electric fields
5.1 electric fieldsPaula Mills
 
EEE Chapter 1_Part 1.pdf
EEE Chapter 1_Part 1.pdfEEE Chapter 1_Part 1.pdf
EEE Chapter 1_Part 1.pdfDhyanShah10
 

Similar to LECTURE 1.pptx (20)

01 Electric Fieeld and charges Notes.pdf
01 Electric Fieeld and charges Notes.pdf01 Electric Fieeld and charges Notes.pdf
01 Electric Fieeld and charges Notes.pdf
 
5.1 electric fields
5.1 electric fields5.1 electric fields
5.1 electric fields
 
electric charges and fields class 12 study material pdf download
electric charges and fields class 12 study material pdf downloadelectric charges and fields class 12 study material pdf download
electric charges and fields class 12 study material pdf download
 
Physics project
Physics projectPhysics project
Physics project
 
Charge and Its Property
Charge and Its PropertyCharge and Its Property
Charge and Its Property
 
Electrical Charges and Coulomb's Law.pptx
Electrical Charges and Coulomb's Law.pptxElectrical Charges and Coulomb's Law.pptx
Electrical Charges and Coulomb's Law.pptx
 
Electrostatic class 12.pptx
Electrostatic class 12.pptxElectrostatic class 12.pptx
Electrostatic class 12.pptx
 
Ajal electrostatics slides
Ajal electrostatics slidesAjal electrostatics slides
Ajal electrostatics slides
 
Chapter-1 ECF.pptx
Chapter-1 ECF.pptxChapter-1 ECF.pptx
Chapter-1 ECF.pptx
 
Electrostatics
ElectrostaticsElectrostatics
Electrostatics
 
1 electrostatic 09
1 electrostatic 091 electrostatic 09
1 electrostatic 09
 
Physics 2 electrostatics
Physics 2 electrostaticsPhysics 2 electrostatics
Physics 2 electrostatics
 
General Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptxGeneral Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptx
 
General Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptxGeneral Physics - Module 1_Lesson 1-2.pptx
General Physics - Module 1_Lesson 1-2.pptx
 
CLASSXII (PHYSICS) Chapter 10 electrostatics
CLASSXII (PHYSICS) Chapter 10   electrostaticsCLASSXII (PHYSICS) Chapter 10   electrostatics
CLASSXII (PHYSICS) Chapter 10 electrostatics
 
1.1 electric charge
1.1 electric charge1.1 electric charge
1.1 electric charge
 
Chapter1: Coulomb's Law
Chapter1: Coulomb's LawChapter1: Coulomb's Law
Chapter1: Coulomb's Law
 
5.1 electric fields
5.1 electric fields5.1 electric fields
5.1 electric fields
 
Physics
PhysicsPhysics
Physics
 
EEE Chapter 1_Part 1.pdf
EEE Chapter 1_Part 1.pdfEEE Chapter 1_Part 1.pdf
EEE Chapter 1_Part 1.pdf
 

Recently uploaded

Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝soniya singh
 
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...Dr.Costas Sachpazis
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxAsutosh Ranjan
 
Processing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptxProcessing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptxpranjaldaimarysona
 
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...ranjana rawat
 
SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )Tsuyoshi Horigome
 
Top Rated Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
Top Rated  Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...Top Rated  Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
Top Rated Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...Call Girls in Nagpur High Profile
 
HARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IVHARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IVRajaP95
 
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptxDecoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptxJoão Esperancinha
 
the ladakh protest in leh ladakh 2024 sonam wangchuk.pptx
the ladakh protest in leh ladakh 2024 sonam wangchuk.pptxthe ladakh protest in leh ladakh 2024 sonam wangchuk.pptx
the ladakh protest in leh ladakh 2024 sonam wangchuk.pptxhumanexperienceaaa
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingrakeshbaidya232001
 
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130Suhani Kapoor
 
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escortsranjana rawat
 
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130Suhani Kapoor
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Dr.Costas Sachpazis
 
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Christo Ananth
 
HARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICS
HARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICSHARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICS
HARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICSRajkumarAkumalla
 
247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt
247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt
247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).pptssuser5c9d4b1
 

Recently uploaded (20)

Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
Model Call Girl in Narela Delhi reach out to us at 🔝8264348440🔝
 
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
 
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINEDJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptx
 
Processing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptxProcessing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptx
 
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
 
SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )
 
Top Rated Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
Top Rated  Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...Top Rated  Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
Top Rated Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
 
HARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IVHARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IV
 
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptxDecoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
 
the ladakh protest in leh ladakh 2024 sonam wangchuk.pptx
the ladakh protest in leh ladakh 2024 sonam wangchuk.pptxthe ladakh protest in leh ladakh 2024 sonam wangchuk.pptx
the ladakh protest in leh ladakh 2024 sonam wangchuk.pptx
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writing
 
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
 
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
 
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
 
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
 
HARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICS
HARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICSHARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICS
HARDNESS, FRACTURE TOUGHNESS AND STRENGTH OF CERAMICS
 
Roadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and RoutesRoadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and Routes
 
247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt
247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt
247267395-1-Symmetric-and-distributed-shared-memory-architectures-ppt (1).ppt
 

LECTURE 1.pptx

  • 2. EVIDENCE FOR ELECTRIC FORCES: • The discovery of electricity is generally credited to the Greeks and is thought to have occurred around 2600 years ago. • People observed electric charges and the forces between them. Many of their observations made use of a material called amber. • The Greek word for amber, ‘elektron’,is the origin of the terms electricity and electron.
  • 3. • Amber is the dried, hardened sap from certain trees. Small creatures or bits of plant material are often preserved inside. • When a plastic or amber rod is rubbed with fur, the rod acquires an electric charge. • A charged rod attracts small bits of paper and other objects.
  • 4. ELECTRIC CHARGE TWO TYPES OF ELECTRIC CHARGE: • Unlike charges attract, i.e. a positive charge and a negative charge attract each other. EXPERIMENT DEMONSTRATES: • POSITIVE CHARGE • NEGATIVE CHARGE • Like charge repel i.e. two positive charges or two negative charges and repel each other.
  • 5. STRUCTURE OF AN ATOM All objects are composed of atoms. Size of an atom is 0.1nm Size of nucleus in an atom is 0.1pm 𝑚𝑝 = 𝑚𝑛 = 1.67×10−27 𝑘𝑔 A proton has a positive charge, and the electron a negative charge. The neutron carries no charge. Electron and the nucleus attract each other. This attraction is called electrostatic force, the force that holds the electron in orbit.
  • 6. Charge is conserved. The total charge on an object is the sum of all the individual charges carried by the object. The total charge can be positive, negative, or zero. Charge can move from place to place, and from one object to another, but the total charge of the universe does not change. This important observation brings us to a very fundamental law in physics: the law of conservation of electric charge. This law states that the net charge of an isolated system remains constant.
  • 7. THE UNIT OF CHARGE • Charge comes in quantized units. All protons carry the same amount of charge +e, all electrons carry a charge –e. Q = ne where n = 1, 2, 3, ……….. and e = 1.6x10-19 C , is the elementary charge. • The SI standard unit of charges is the Coulomb, which is represented by the symbol C. The charge on a single electron is, electron charge = -e = -1.6x10-19 C And the charge carried by a single proton is proton charge = +e = +1.6x10-19 C CHARGE QUANTISATION
  • 8. CONDUCTORS AND INSULATORS Insulators do not allow electric charge to move easily through them. In conductors, the outermost electrons (or the valence electron) in atoms are loosely bound. CHARGING BY FRICTION Charging by Conduction Charging By Induction
  • 9. ELECTRIC FORCES AND COULOMB’S LAW 𝐹 = 𝑘 𝑞0𝑞1 𝑟2 Where ε0 is called the permittivity of space, ε0 = 8.85 x 10-12 C2/N · m2 K = 1 4πε0 ’ in free space k = 8.99 x 109 N·m2/C2
  • 10. SUPERPOSITION OF ELECTRIC CHARGES Suppose two particles of charge q1 and q3 are separated by a distance as shown in the figure, what is the force on a third charge q2? According to the superposition principle, the resultant force on q3 is given by: F = F12 + F13
  • 11. Example : The figure below shows three small charges, q1 = –2μC, q2 =5μC, q3 =3μC, located along the positive x-axis. What is the (i) direction, and (ii) magnitude of the resultant force exerted by these two charges on q2? Solution: (i) The force, F12 K exerted by Q1 on Q2 is attractive because these two charges have opposite signs. Similarly, the force F32 K exerted by Q3 on Q2 is repulsive because both these two charges have the same sign. (ii) The magnitudes of these forces are given by Coulomb’s Law: F12 = k q1q2 r12 2 = (9.0x109) (2.0 10−6 )(5.0 10−6 ) (0.03)2 = 100 N
  • 12. F32 = k q3q2 r32 2 = (9.0x109) (3.0 10−6 )(5.0 10−6 ) (0.03)2 = 150 N The magnitude of the resultant force is thus 150+100=50 N. This resultant force points in the – x direction.