Field Due To Dipole And Continuous Charge Distributions

• Atom as dipole
• Electric field due to a dipole
• Electric field on axial line
• Electric field on equatorial line
• Graphical representation of electric field due to dipole

Electric Field Due To Dipole

• Electric field at a point on axial line
• Electric field at a point on equatorial line
• Distance from the dipole axis
• Distance from the dipole
• Angle between the dipole axis and the line joining the dipole to the point

Electric Field on Axial Line

• Electric field at a point on axial line
• Distance from the dipole axis
• Distance from the dipole
• Angle between the dipole axis and the line joining the dipole to the point
• Electric field on axial line is directly proportional to charge

Electric Field on Equatorial Line

• Electric field at a point on equatorial line
• Distance from the dipole axis
• Distance from the dipole
• Angle between the dipole axis and the line joining the dipole to the point
• Electric field on equatorial line is inversely proportional to the square of charge

Graphical Representation of Electric Field Due to Dipole

• Points on axial line
• Points on equatorial line
• Positive and negative charges
• Magnitude and direction of electric field
• How to draw the electric field lines

Electric Field Due To Continuous Charge Distributions

• Line charge
• Electric field due to a line charge
• Surface charge
• Electric field due to a surface charge
• Volume charge

Electric Field Due To Line Charge

• Electric field at a point on the field axis
• Distance from the line charge
• Charge per unit length
• Coulomb’s constant
• Electric field due to an infinitely long line charge

Electric Field Due To Surface Charge

• Electric field at a point on the perpendicular bisector of a charged segment
• Distance from the charged segment
• Length of the charged segment
• Surface charge density
• Electric field due to an infinite sheet of charge

Electric Field Due To Volume Charge

• Electric field at a point inside a uniformly charged solid sphere
• Distance from the center of sphere
• Radius of the sphere
• Volume charge density
• Electric field due to a uniformly charged solid sphere

Continuous Charge Distribution Examples

• Electric field due to a uniformly charged rod
• Electric field due to a uniformly charged disk
• Electric field due to a uniformly charged ring
• Electric field due to a uniformly charged spherical shell
• Electric field due to a uniformly charged solid sphere

11. Atom as dipole

• Nucleus and electron cloud arrangement
• Positive and negative charges in an atom
• Electron movement around the nucleus
• Creation of an electric dipole
• Dipole moment of an atom

12. Electric field due to a dipole

• Definition of electric field
• Calculation of electric field due to a dipole
• Direction of electric field lines
• Vector representation of electric field due to a dipole
• Superposition principle for electric fields

13. Electric field on axial line

• Definition of axial line
• Calculation of electric field at a point on the axial line
• Relationship between distance from the dipole axis and electric field strength
• Graphical representation of electric field on axial line
• Example calculation of electric field on axial line

14. Electric field on equatorial line

• Definition of equatorial line
• Calculation of electric field at a point on the equatorial line
• Relationship between distance from the dipole axis and electric field strength
• Graphical representation of electric field on equatorial line
• Example calculation of electric field on equatorial line

15. Graphical representation of electric field due to dipole

• Plotting electric field lines for a dipole
• Using positive and negative charges to represent the dipole
• Magnitude and direction of electric field at different points around the dipole
• Electric field lines intersection and spacing
• Example of drawing electric field lines for a dipole

16. Electric field at a point on axial line

• Calculation of electric field at a point on the axial line
• Relationship between distance from the dipole axis and electric field strength
• Influence of charge on the electric field on the axial line
• Example calculation of electric field at a point on the axial line
• Importance of axial line in studying electric fields

17. Electric field at a point on equatorial line

• Calculation of electric field at a point on the equatorial line
• Relationship between distance from the dipole axis and electric field strength
• Influence of charge on the electric field on the equatorial line
• Example calculation of electric field at a point on the equatorial line
• Importance of equatorial line in studying electric fields

18. Distance from the dipole axis

• Definition of distance from the dipole axis
• Calculation of distance from the dipole axis using trigonometry
• Relationship between distance and electric field strength on axial line
• Relationship between distance and electric field strength on equatorial line
• Importance of understanding distance from the dipole axis

19. Distance from the dipole

• Definition of distance from the dipole
• Calculation of distance from the dipole using trigonometry
• Relationship between distance and electric field strength on axial line
• Relationship between distance and electric field strength on equatorial line
• Understanding the effect of distance on the electric field of a dipole

20. Angle between the dipole axis and the line joining the dipole to the point

• Definition of the angle between the dipole axis and the line joining the dipole to the point
• Calculation of the angle using trigonometry
• Influence of the angle on the electric field on axial line
• Influence of the angle on the electric field on equatorial line
• Importance of considering the angle in calculating electric fields

21. Field Due To Dipole And Continuous Charge Distributions - Atom as dipole

• Atom as a fundamental unit of matter
• Atom consists of a positively charged nucleus and negatively charged electrons
• Electrons in an atom are in constant motion around the nucleus
• The arrangement of positive and negative charges in an atom creates an electric dipole
• The dipole moment of an atom is the product of the magnitude of the charge and the distance between the charges

22. Electric field due to a dipole

• An electric dipole creates an electric field in its surroundings
• The electric field lines originate from the positive charge and terminate on the negative charge
• The electric field has both magnitude and direction at each point
• The electric field strength decreases as the distance from the dipole increases
• The direction of the electric field can be determined using the right-hand rule

23. Electric field on axial line

• The axial line is a line passing through the center of the dipole perpendicular to the dipole axis
• On the axial line, the electric field points in the same direction as the dipole moment
• The electric field strength on the axial line is given by the formula: E = (2k*p)/r^3
• E is the electric field strength, k is Coulomb’s constant, p is the dipole moment, and r is the distance from the dipole

24. Electric field on equatorial line

• The equatorial line is a line perpendicular to the dipole axis passing through the center of the dipole
• On the equatorial line, the electric field points in the opposite direction to the dipole moment
• The electric field strength on the equatorial line is given by the formula: E = (k*p)/r^3
• E is the electric field strength, k is Coulomb’s constant, p is the dipole moment, and r is the distance from the dipole

25. Graphical representation of electric field due to dipole

• Electric field lines are used to represent the electric field due to a dipole
• The lines originate from the positive charge and terminate on the negative charge
• The density of the electric field lines represents the magnitude of the electric field
• Electric field lines are closer together near the charges and spread out as the distance increases
• A dipole can be represented by using positive and negative charges

26. Electric field due to a line charge

• A line charge is a one-dimensional distribution of charge along a straight line
• The electric field due to a line charge can be calculated using Gauss’s law
• The electric field strength at a point on the field axis is given by the formula: E = (λ/2πε₀r)
• E is the electric field strength, λ is the charge per unit length, ε₀ is the permittivity of free space, and r is the distance from the line charge

27. Electric field due to a surface charge

• A surface charge is a two-dimensional distribution of charge over a surface
• The electric field due to a surface charge can be calculated using Gauss’s law
• The electric field strength at a point on the perpendicular bisector of a charged segment is given by the formula: E = (σ/2ε₀)
• E is the electric field strength, σ is the surface charge density, and ε₀ is the permittivity of free space

28. Electric field due to a volume charge

• A volume charge is a three-dimensional distribution of charge within a region
• The electric field due to a volume charge can be calculated using Gauss’s law
• The electric field strength at a point inside a uniformly charged solid sphere is given by the formula: E = (ρr/3ε₀)
• E is the electric field strength, ρ is the volume charge density, r is the distance from the center of the sphere, and ε₀ is the permittivity of free space

29. Continuous charge distribution examples

• Examples of continuous charge distributions include a uniformly charged rod, a uniformly charged disk, a uniformly charged ring, a uniformly charged spherical shell, and a uniformly charged solid sphere
• The electric field due to these charge distributions can be calculated using the formulas mentioned earlier
• The charge density and dimensions of the distributions affect the magnitude and direction of the electric field
• Understanding the electric field due to continuous charge distributions is essential for various applications in physics and engineering

30. Summary and importance of studying field due to dipole and continuous charge distributions

• Understanding the electric field due to a dipole and continuous charge distributions is fundamental for various topics in electromagnetism
• It helps in understanding the behavior of charges and the interaction between charged particles
• The concepts learned in this topic are applied in fields such as electrostatics, circuits, and electromagnetic waves
• Real-world applications include electric circuits, antennas, electric motors, and particle accelerators
• Mastering this topic is crucial for excelling in physics and pursuing further studies or careers in related fields.