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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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