SlideShare a Scribd company logo
1 of 7
Download to read offline
Priyanka Jakhar
Physics Lecturer
GGIC Vijay Nagar
Ghaziabad U.P.
Class 12th Physics
Biot – Savart’s Law
Biot – Savart’s Law:
Biot-Savart law was created by two French physicists, Jean Baptiste Biot and Felix Savart derived the
mathematical expression for magnetic flux density at a point due to a nearby current-carrying conductor,
in 1820.
Biot-Savart law gives this relation between current and magnetic field.
Biot-Savart’s law is an equation that gives the magnetic field produced due to a current
carrying segment.
The Biot Savart law is fundamental to magnetostatics, playing a role similar to that of Coulomb’s law in
electrostatics.
The strength of magnetic fielddB due to a small current element dl carrying a current I at a point P
distant r from the element is directly proportional to I, dl, sin θ and inversely
proportional to the square of the distance (r2)
where θ is the angle between dl and r.
θ
x
P
dl r
i) dB α I
ii) dB α dl
iii) dB α sin θ
iv) dB α 1 / r2
dB α
I dl sin θ
r2
dB =
4π r2
P’
I
μ0I dl sin θ
If θ = 0° , The point P lies on the axis of the linear conductor carrying current
If θ = 90° The point P lies at the perpendicular position with respect to element which is maximum
If θ = 180° ,then dB = 0 ,which is minimum.
dB =
4π r2
μ0I dl sin θ dB =
4π r2
μ0I dl sin 90°
dB =
4π r2
μ0I dl sin 0°
dB =
4π r2
μ0I dl sin θ
dB =
If If the magnetic field is taken due to the entire length of a conductor
4π r2
μ0I dl sin 180°
μ0I dl sin θ
dB =
4π r2
dB = 0
dB =
4π r2
μ0I dl
dB =
4π r2
μ0I dl sin θ
dB = 0
B =
∫∫
Biot – Savart’s Law in vector form :
dB =
μ0 I dl x r
4π r2
dB =
μ0 I dl x r
4π r3
Value of μ0 = 4π x 10-7 TmA-1
or Wb m-1 A-1
Direction of dB is same as that of direction of dl x r which can be determined by Right Hand Screw Rule.
It is emerging at P’ and entering at P into the plane of the diagram.
Current element is a vector quantity whose magnitude is the vector product of current and length of
small element having the direction of the flow of current. ( I dl )
x
dB =
μ0 j dV sin θ
In vector formr2
4π
Biot – Savart’s Law in terms of current density :
μ0( j x r ) dV
dB =
4π
4π
μ0 q ( v x r )
r3
r3
Biot – Savart’s Law in terms of charge and its velocity :
dB =
Relative permeability :-- The ratio of permeability of the medium to permeability of free space
is known as Relative permeability .
It is represented by μr
μr is dimensionless quantity .
It has no unit .
μr
μ
μ0
=
Relation between permeability and permittivity :--
μ0 ε0 =
c2
1
Units and dimensions of permeability :--
The permeability measures the ability of the material to allow the magnetic lines of force to
pass through it.
The magnetic permeability is dimensionally represented as [M1 L1 T-2 A-2] .
The unit is N⋅A−2 for SI unit .
The symbol is μ for medium .
The magnetic permeability in a vacuum is expressed as μ0 .
μ0 = 4π × 10-7 weber per ampere-metre .
Basis For Comparison Permittivity Permeability
Definition The Permittivity measures the
resistance offer by the material in the
formation of an electric field.
The permeability measures the
ability of the material to allow
the magnetic lines of force to
pass through it.
Symbol ε μ
Formula Ratio of displacement field strength to
the electric field strength.
Ratio of magnetic field density
and magnetic field strength.
SI Unit Faraday/meter Henry/meter
Physical Basis Polarization Magnetization
Free Space The permittivity of the free space is
8.85 F/m.
The permeability of the free
space is 1.26 H/m.
Field Electric Field Magnetic Field
Used in Capacitor Inductor and Transformer core
Similarity Between Biot Savart’s Law And Coulomb’s Law
1. Field at any point vary inversely as the square of the distance .
2. Both obey superposition principle
3. Both sources Idl for magnetic field and q for electric field are linear in nature.
4. Magnetic field due to a moving charge (Biot-Savart law) is:
μo × idl(sinθ)
B =
4π r2
5. Electric field due to a point charge (Coulomb’s law) is :
1 × q
E =
4πƐo r2
Differences Between Biot Savart’s Law And Coulomb’s Law
1. Electric field is produced by a scalar source (q) where as Magnetic field is produce by
vector source (I dl)
2. Electric field is acting along the displacement vector where as Magnetic field acts
perpendicular to I x r.
3. Electric field is not depends of θ where as Magnetic field depends upon θ.

More Related Content

What's hot

Alternating Currents Class 12
Alternating Currents Class 12Alternating Currents Class 12
Alternating Currents Class 12Self-employed
 
Electromagnetic Induction Class 12
Electromagnetic Induction Class 12 Electromagnetic Induction Class 12
Electromagnetic Induction Class 12 Self-employed
 
Class 12th physics current electricity ppt
Class 12th physics current electricity ppt Class 12th physics current electricity ppt
Class 12th physics current electricity ppt Arpit Meena
 
Nuclei And Atoms Class 12
Nuclei And Atoms Class 12Nuclei And Atoms Class 12
Nuclei And Atoms Class 12Self-employed
 
Magnetic field of solenoid
Magnetic field of solenoidMagnetic field of solenoid
Magnetic field of solenoidU Reshmi
 
Magnetic effect of electric current
Magnetic effect of electric currentMagnetic effect of electric current
Magnetic effect of electric currentKanishkBainsla
 
Magnetism and matter
Magnetism and matterMagnetism and matter
Magnetism and matterYashu Chhabra
 
Ray Optics Class 12 Part-2
Ray Optics Class 12 Part-2Ray Optics Class 12 Part-2
Ray Optics Class 12 Part-2Self-employed
 
Current Electricity Class 12 Part-1
Current Electricity Class 12 Part-1Current Electricity Class 12 Part-1
Current Electricity Class 12 Part-1Self-employed
 
AMPERE’S CIRCUITAL LAW and its applications
AMPERE’S CIRCUITAL LAW and its applicationsAMPERE’S CIRCUITAL LAW and its applications
AMPERE’S CIRCUITAL LAW and its applicationsPriyanka Jakhar
 
Current Electricity Class 12 Part-3
Current Electricity Class 12 Part-3Current Electricity Class 12 Part-3
Current Electricity Class 12 Part-3Self-employed
 
Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12
Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12
Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12Self-employed
 
Electrostatics Class 12- Part 2
Electrostatics Class 12- Part 2Electrostatics Class 12- Part 2
Electrostatics Class 12- Part 2Self-employed
 
Semiconductor Devices Class 12 Part-1
Semiconductor Devices Class 12 Part-1Semiconductor Devices Class 12 Part-1
Semiconductor Devices Class 12 Part-1Self-employed
 

What's hot (20)

Alternating Currents Class 12
Alternating Currents Class 12Alternating Currents Class 12
Alternating Currents Class 12
 
Electromagnetic Induction Class 12
Electromagnetic Induction Class 12 Electromagnetic Induction Class 12
Electromagnetic Induction Class 12
 
Magnetism
MagnetismMagnetism
Magnetism
 
Class 12th physics current electricity ppt
Class 12th physics current electricity ppt Class 12th physics current electricity ppt
Class 12th physics current electricity ppt
 
Nuclei And Atoms Class 12
Nuclei And Atoms Class 12Nuclei And Atoms Class 12
Nuclei And Atoms Class 12
 
Ampere’s circuital law
Ampere’s circuital lawAmpere’s circuital law
Ampere’s circuital law
 
Magnetic field of solenoid
Magnetic field of solenoidMagnetic field of solenoid
Magnetic field of solenoid
 
Magnetic effect of electric current
Magnetic effect of electric currentMagnetic effect of electric current
Magnetic effect of electric current
 
Magnetism and matter
Magnetism and matterMagnetism and matter
Magnetism and matter
 
Ray Optics Class 12 Part-2
Ray Optics Class 12 Part-2Ray Optics Class 12 Part-2
Ray Optics Class 12 Part-2
 
Current Electricity Class 12 Part-1
Current Electricity Class 12 Part-1Current Electricity Class 12 Part-1
Current Electricity Class 12 Part-1
 
AMPERE’S CIRCUITAL LAW and its applications
AMPERE’S CIRCUITAL LAW and its applicationsAMPERE’S CIRCUITAL LAW and its applications
AMPERE’S CIRCUITAL LAW and its applications
 
Physics project abhishek
Physics project abhishekPhysics project abhishek
Physics project abhishek
 
Current Electricity Class 12 Part-3
Current Electricity Class 12 Part-3Current Electricity Class 12 Part-3
Current Electricity Class 12 Part-3
 
Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12
Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12
Photoelectric Effect And Dual Nature Of Matter And Radiation Class 12
 
Alternating Current
Alternating CurrentAlternating Current
Alternating Current
 
electromagnetic induction
electromagnetic inductionelectromagnetic induction
electromagnetic induction
 
gauss law and application Arun kumar
gauss law and application Arun kumargauss law and application Arun kumar
gauss law and application Arun kumar
 
Electrostatics Class 12- Part 2
Electrostatics Class 12- Part 2Electrostatics Class 12- Part 2
Electrostatics Class 12- Part 2
 
Semiconductor Devices Class 12 Part-1
Semiconductor Devices Class 12 Part-1Semiconductor Devices Class 12 Part-1
Semiconductor Devices Class 12 Part-1
 

Similar to Class 12th Biot savart law

Basic Laws of Electrostatics
Basic Laws of ElectrostaticsBasic Laws of Electrostatics
Basic Laws of ElectrostaticsMateen Shahid
 
Modelling Power Systems 3
Modelling Power Systems 3Modelling Power Systems 3
Modelling Power Systems 3Alex_5991
 
1_magnetic_effect_of_current_1%20(2).pptx
1_magnetic_effect_of_current_1%20(2).pptx1_magnetic_effect_of_current_1%20(2).pptx
1_magnetic_effect_of_current_1%20(2).pptxKarthickAnnamalai7
 
magnetic_effect_of_current_1.ppt
magnetic_effect_of_current_1.pptmagnetic_effect_of_current_1.ppt
magnetic_effect_of_current_1.pptmragarwal
 
magnetic effect of current class 12th physics ppt
magnetic effect of current class 12th physics pptmagnetic effect of current class 12th physics ppt
magnetic effect of current class 12th physics pptArpit Meena
 
1magneticeffectofcurrent1 140315125720-phpapp02
1magneticeffectofcurrent1 140315125720-phpapp021magneticeffectofcurrent1 140315125720-phpapp02
1magneticeffectofcurrent1 140315125720-phpapp02UmeshPatil149
 
Magnetic circuits nptel good
Magnetic circuits  nptel goodMagnetic circuits  nptel good
Magnetic circuits nptel goodSreepadam Padam
 
Lecture 38 Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptx
Lecture 38  Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptxLecture 38  Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptx
Lecture 38 Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptxpurveshkumar
 
Eletromagnetismo -cap 2
Eletromagnetismo -cap 2 Eletromagnetismo -cap 2
Eletromagnetismo -cap 2 DENIVALDO
 
1_magnetic_effect_of_current_1.ppt
1_magnetic_effect_of_current_1.ppt1_magnetic_effect_of_current_1.ppt
1_magnetic_effect_of_current_1.pptRemyaRajesh10
 

Similar to Class 12th Biot savart law (20)

Basic Laws of Electrostatics
Basic Laws of ElectrostaticsBasic Laws of Electrostatics
Basic Laws of Electrostatics
 
Amperes_Law.ppt
Amperes_Law.pptAmperes_Law.ppt
Amperes_Law.ppt
 
magnetic fields
 magnetic fields  magnetic fields
magnetic fields
 
Modelling Power Systems 3
Modelling Power Systems 3Modelling Power Systems 3
Modelling Power Systems 3
 
Chapter 07
Chapter 07Chapter 07
Chapter 07
 
Magnetic effect-of-current
Magnetic effect-of-currentMagnetic effect-of-current
Magnetic effect-of-current
 
1_magnetic_effect_of_current_1%20(2).pptx
1_magnetic_effect_of_current_1%20(2).pptx1_magnetic_effect_of_current_1%20(2).pptx
1_magnetic_effect_of_current_1%20(2).pptx
 
magnetic_effect_of_current_1.ppt
magnetic_effect_of_current_1.pptmagnetic_effect_of_current_1.ppt
magnetic_effect_of_current_1.ppt
 
Ch 29.pptx
Ch 29.pptxCh 29.pptx
Ch 29.pptx
 
class13.ppt
class13.pptclass13.ppt
class13.ppt
 
magnetic effect of current class 12th physics ppt
magnetic effect of current class 12th physics pptmagnetic effect of current class 12th physics ppt
magnetic effect of current class 12th physics ppt
 
1magneticeffectofcurrent1 140315125720-phpapp02
1magneticeffectofcurrent1 140315125720-phpapp021magneticeffectofcurrent1 140315125720-phpapp02
1magneticeffectofcurrent1 140315125720-phpapp02
 
1 magnetic effect_of_current_1
1 magnetic effect_of_current_11 magnetic effect_of_current_1
1 magnetic effect_of_current_1
 
Emt two-marksss
Emt two-marksssEmt two-marksss
Emt two-marksss
 
Emt two-marks
Emt two-marksEmt two-marks
Emt two-marks
 
Magnetic circuits nptel good
Magnetic circuits  nptel goodMagnetic circuits  nptel good
Magnetic circuits nptel good
 
Lecture 38 Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptx
Lecture 38  Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptxLecture 38  Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptx
Lecture 38 Intor_Biot Savart Law _CH4_L-1_18.07.2023.pptx
 
Eletromagnetismo -cap 2
Eletromagnetismo -cap 2 Eletromagnetismo -cap 2
Eletromagnetismo -cap 2
 
Magnetostatics
MagnetostaticsMagnetostatics
Magnetostatics
 
1_magnetic_effect_of_current_1.ppt
1_magnetic_effect_of_current_1.ppt1_magnetic_effect_of_current_1.ppt
1_magnetic_effect_of_current_1.ppt
 

More from Priyanka Jakhar (20)

PHYSICAL WORLD part 2
PHYSICAL WORLD part 2PHYSICAL WORLD part 2
PHYSICAL WORLD part 2
 
Capacitor
Capacitor Capacitor
Capacitor
 
Physical world part 1
Physical world part 1Physical world part 1
Physical world part 1
 
PHYSICAL WORLD part 1
PHYSICAL WORLD part 1PHYSICAL WORLD part 1
PHYSICAL WORLD part 1
 
Mutual induction
Mutual induction    Mutual induction
Mutual induction
 
Eddy current
Eddy currentEddy current
Eddy current
 
Ultasonic sensor
Ultasonic sensorUltasonic sensor
Ultasonic sensor
 
electromagnetic induction ( part 2 )
electromagnetic induction ( part 2 )electromagnetic induction ( part 2 )
electromagnetic induction ( part 2 )
 
electromagnetic induction ( part 1 )
electromagnetic induction ( part 1 )electromagnetic induction ( part 1 )
electromagnetic induction ( part 1 )
 
Breadboard
BreadboardBreadboard
Breadboard
 
Jumper wires
Jumper wiresJumper wires
Jumper wires
 
Earths magnetism part 1
Earths magnetism part 1Earths magnetism part 1
Earths magnetism part 1
 
Earths magnetism
Earths magnetismEarths magnetism
Earths magnetism
 
Superconductor
SuperconductorSuperconductor
Superconductor
 
VandE GRAFF generator
VandE GRAFF generatorVandE GRAFF generator
VandE GRAFF generator
 
Electromagnetic Wave
Electromagnetic Wave Electromagnetic Wave
Electromagnetic Wave
 
Transformer
TransformerTransformer
Transformer
 
Ac generator
Ac generatorAc generator
Ac generator
 
Class 12 th semiconductor part 4
Class 12 th semiconductor part 4Class 12 th semiconductor part 4
Class 12 th semiconductor part 4
 
Class 12 th semiconductor part 3
Class 12 th semiconductor part 3Class 12 th semiconductor part 3
Class 12 th semiconductor part 3
 

Recently uploaded

Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxraviapr7
 
3.26.24 Race, the Draft, and the Vietnam War.pptx
3.26.24 Race, the Draft, and the Vietnam War.pptx3.26.24 Race, the Draft, and the Vietnam War.pptx
3.26.24 Race, the Draft, and the Vietnam War.pptxmary850239
 
In - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxIn - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxAditiChauhan701637
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptxraviapr7
 
Vani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational TrustVani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational TrustSavipriya Raghavendra
 
How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17Celine George
 
HED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfHED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfMohonDas
 
The basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptxThe basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptxheathfieldcps1
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsEugene Lysak
 
Work Experience for psp3 portfolio sasha
Work Experience for psp3 portfolio sashaWork Experience for psp3 portfolio sasha
Work Experience for psp3 portfolio sashasashalaycock03
 
Patient Counselling. Definition of patient counseling; steps involved in pati...
Patient Counselling. Definition of patient counseling; steps involved in pati...Patient Counselling. Definition of patient counseling; steps involved in pati...
Patient Counselling. Definition of patient counseling; steps involved in pati...raviapr7
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.EnglishCEIPdeSigeiro
 
How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17Celine George
 
How to Send Emails From Odoo 17 Using Code
How to Send Emails From Odoo 17 Using CodeHow to Send Emails From Odoo 17 Using Code
How to Send Emails From Odoo 17 Using CodeCeline George
 
Slides CapTechTalks Webinar March 2024 Joshua Sinai.pptx
Slides CapTechTalks Webinar March 2024 Joshua Sinai.pptxSlides CapTechTalks Webinar March 2024 Joshua Sinai.pptx
Slides CapTechTalks Webinar March 2024 Joshua Sinai.pptxCapitolTechU
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesCeline George
 
How to Solve Singleton Error in the Odoo 17
How to Solve Singleton Error in the  Odoo 17How to Solve Singleton Error in the  Odoo 17
How to Solve Singleton Error in the Odoo 17Celine George
 
Diploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfDiploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfMohonDas
 

Recently uploaded (20)

Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptx
 
3.26.24 Race, the Draft, and the Vietnam War.pptx
3.26.24 Race, the Draft, and the Vietnam War.pptx3.26.24 Race, the Draft, and the Vietnam War.pptx
3.26.24 Race, the Draft, and the Vietnam War.pptx
 
In - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxIn - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptx
 
Personal Resilience in Project Management 2 - TV Edit 1a.pdf
Personal Resilience in Project Management 2 - TV Edit 1a.pdfPersonal Resilience in Project Management 2 - TV Edit 1a.pdf
Personal Resilience in Project Management 2 - TV Edit 1a.pdf
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
 
Vani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational TrustVani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
Vani Magazine - Quarterly Magazine of Seshadripuram Educational Trust
 
Prelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quizPrelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quiz
 
How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17How to Add a New Field in Existing Kanban View in Odoo 17
How to Add a New Field in Existing Kanban View in Odoo 17
 
HED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfHED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdf
 
The basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptxThe basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptx
 
The Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George WellsThe Stolen Bacillus by Herbert George Wells
The Stolen Bacillus by Herbert George Wells
 
Work Experience for psp3 portfolio sasha
Work Experience for psp3 portfolio sashaWork Experience for psp3 portfolio sasha
Work Experience for psp3 portfolio sasha
 
Patient Counselling. Definition of patient counseling; steps involved in pati...
Patient Counselling. Definition of patient counseling; steps involved in pati...Patient Counselling. Definition of patient counseling; steps involved in pati...
Patient Counselling. Definition of patient counseling; steps involved in pati...
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.
 
How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17
 
How to Send Emails From Odoo 17 Using Code
How to Send Emails From Odoo 17 Using CodeHow to Send Emails From Odoo 17 Using Code
How to Send Emails From Odoo 17 Using Code
 
Slides CapTechTalks Webinar March 2024 Joshua Sinai.pptx
Slides CapTechTalks Webinar March 2024 Joshua Sinai.pptxSlides CapTechTalks Webinar March 2024 Joshua Sinai.pptx
Slides CapTechTalks Webinar March 2024 Joshua Sinai.pptx
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 Sales
 
How to Solve Singleton Error in the Odoo 17
How to Solve Singleton Error in the  Odoo 17How to Solve Singleton Error in the  Odoo 17
How to Solve Singleton Error in the Odoo 17
 
Diploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfDiploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdf
 

Class 12th Biot savart law

  • 1. Priyanka Jakhar Physics Lecturer GGIC Vijay Nagar Ghaziabad U.P. Class 12th Physics Biot – Savart’s Law
  • 2. Biot – Savart’s Law: Biot-Savart law was created by two French physicists, Jean Baptiste Biot and Felix Savart derived the mathematical expression for magnetic flux density at a point due to a nearby current-carrying conductor, in 1820. Biot-Savart law gives this relation between current and magnetic field. Biot-Savart’s law is an equation that gives the magnetic field produced due to a current carrying segment. The Biot Savart law is fundamental to magnetostatics, playing a role similar to that of Coulomb’s law in electrostatics. The strength of magnetic fielddB due to a small current element dl carrying a current I at a point P distant r from the element is directly proportional to I, dl, sin θ and inversely proportional to the square of the distance (r2) where θ is the angle between dl and r. θ x P dl r i) dB α I ii) dB α dl iii) dB α sin θ iv) dB α 1 / r2 dB α I dl sin θ r2 dB = 4π r2 P’ I μ0I dl sin θ
  • 3. If θ = 0° , The point P lies on the axis of the linear conductor carrying current If θ = 90° The point P lies at the perpendicular position with respect to element which is maximum If θ = 180° ,then dB = 0 ,which is minimum. dB = 4π r2 μ0I dl sin θ dB = 4π r2 μ0I dl sin 90° dB = 4π r2 μ0I dl sin 0° dB = 4π r2 μ0I dl sin θ dB = If If the magnetic field is taken due to the entire length of a conductor 4π r2 μ0I dl sin 180° μ0I dl sin θ dB = 4π r2 dB = 0 dB = 4π r2 μ0I dl dB = 4π r2 μ0I dl sin θ dB = 0 B = ∫∫
  • 4. Biot – Savart’s Law in vector form : dB = μ0 I dl x r 4π r2 dB = μ0 I dl x r 4π r3 Value of μ0 = 4π x 10-7 TmA-1 or Wb m-1 A-1 Direction of dB is same as that of direction of dl x r which can be determined by Right Hand Screw Rule. It is emerging at P’ and entering at P into the plane of the diagram. Current element is a vector quantity whose magnitude is the vector product of current and length of small element having the direction of the flow of current. ( I dl ) x dB = μ0 j dV sin θ In vector formr2 4π Biot – Savart’s Law in terms of current density : μ0( j x r ) dV dB = 4π 4π μ0 q ( v x r ) r3 r3 Biot – Savart’s Law in terms of charge and its velocity : dB =
  • 5. Relative permeability :-- The ratio of permeability of the medium to permeability of free space is known as Relative permeability . It is represented by μr μr is dimensionless quantity . It has no unit . μr μ μ0 = Relation between permeability and permittivity :-- μ0 ε0 = c2 1 Units and dimensions of permeability :-- The permeability measures the ability of the material to allow the magnetic lines of force to pass through it. The magnetic permeability is dimensionally represented as [M1 L1 T-2 A-2] . The unit is N⋅A−2 for SI unit . The symbol is μ for medium . The magnetic permeability in a vacuum is expressed as μ0 . μ0 = 4π × 10-7 weber per ampere-metre .
  • 6. Basis For Comparison Permittivity Permeability Definition The Permittivity measures the resistance offer by the material in the formation of an electric field. The permeability measures the ability of the material to allow the magnetic lines of force to pass through it. Symbol ε μ Formula Ratio of displacement field strength to the electric field strength. Ratio of magnetic field density and magnetic field strength. SI Unit Faraday/meter Henry/meter Physical Basis Polarization Magnetization Free Space The permittivity of the free space is 8.85 F/m. The permeability of the free space is 1.26 H/m. Field Electric Field Magnetic Field Used in Capacitor Inductor and Transformer core
  • 7. Similarity Between Biot Savart’s Law And Coulomb’s Law 1. Field at any point vary inversely as the square of the distance . 2. Both obey superposition principle 3. Both sources Idl for magnetic field and q for electric field are linear in nature. 4. Magnetic field due to a moving charge (Biot-Savart law) is: μo × idl(sinθ) B = 4π r2 5. Electric field due to a point charge (Coulomb’s law) is : 1 × q E = 4πƐo r2 Differences Between Biot Savart’s Law And Coulomb’s Law 1. Electric field is produced by a scalar source (q) where as Magnetic field is produce by vector source (I dl) 2. Electric field is acting along the displacement vector where as Magnetic field acts perpendicular to I x r. 3. Electric field is not depends of θ where as Magnetic field depends upon θ.