Umair Gaines
Electric displacement, denoted by the letter D, is a vector field that represents the aspect of an electric field associated with the presence of separated free electric charges. It is also known as electric flux density. The SI unit of electric displacement is Coulomb per meter square (C/m2). In the meter-kilogram-second system, the unit is the same, while in the centimeter-gram-second system, it is dynes per electrostatic unit or statvolts per second.
| Characteristics | Values |
|---|---|
| Full Form | Electric displacement field |
| Denoted by | D |
| Other Names | Electric flux density, specific capacity of electric induction, dielectric displacement |
| Unit | Coulomb per meter square (C m-2) |
| SI Unit | Coulombs per square meter (C/m²) |
| MKS Unit | <co: 11,19,21>Coulombs per square meter |
| CGS Unit | Dynes per electrostatic unit or statvolts per second |
| Relation | D = ε0E + P |
| Definition | Displacement of electric charge across a conductor positioned in an electric field |
| Calculation | Determined by dividing the plate's free charge by its surface area |
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What You'll Learn
Electric displacement is the charge per unit area
Electric displacement, denoted by D, is the charge per unit area that would be displaced across a layer of conductor placed across an electric field. It is also known as electric flux density. In other words, electric displacement is an electric vector that represents that aspect of an electric field associated solely with the presence of separated free electric charges, purposely excluding the contribution of any electric charges bound together in neutral atoms or molecules.
The SI unit of electric displacement is Coulomb per meter square (Cm^2). In the MKS system, the dimensions of electric displacement come out as charge per unit area, and the units are coulombs per square meter. D in the centimeter-gram-second system has the same dimensions as the principal electric field E, which is measured in dynes per electrostatic unit or statvolts per second.
The Electric Displacement's value 'D' can be calculated by dividing the quantity of free charge on one plate by the plate's area. Because of the strong link between electric flux and electric charge, D is sometimes referred to as the electric flux density or free charge surface density. The displacement field satisfies Gauss's law in a dielectric.
Electric displacement is used in the dielectric material to find the response of the materials on the application of an electric field E. In Maxwell’s equation, it appears as a vector field. It plays a major role in the physics of phenomena such as the capacitance of a material, the response of dielectrics to an electric field, how shapes can change due to electric fields in piezoelectricity or flexoelectricity, as well as the creation of voltages and charge transfer due to elastic strains.
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It is denoted by D
Electric displacement, denoted by D, is a vector field that appears in Maxwell's equations. It is also called electric flux density or free charge surface density. It is calculated by dividing the quantity of free charge on a plate by the plate's area. In the MKS system, the dimensions of Electric Displacement are charge per unit area, and the units are coulombs per square meter. The SI unit of electric displacement is Coulomb per meter square (C m-2).
The electric displacement field in a material is defined as:
> {\\displaystyle (\\mathbf {D_{1}} -\\mathbf {D_{2}} )\\cdot {\\hat {\\mathbf {n} }}=D_{1,\\perp }-D_{2,\\perp }=\\sigma _{\\text{f}}
Where σf is the free charge density. The displacement field satisfies Gauss's law in a dielectric. The equation for Electric Displacement is:
> Electric Displacement D = ε0E + P
Where ε0 is vacuum permittivity, E is the electric field, and P is polarization density.
The electric displacement field has no real physical meaning but serves to make calculations involving dielectric materials much easier. It plays a major role in the physics of phenomena such as the capacitance of a material, the response of dielectrics to an electric field, and the creation of voltages and charge transfer due to elastic strains.
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It is also called electric flux density
Electric displacement, denoted by D, is the charge per unit area that would be displaced across a layer of conductor placed across an electric field. It is a vector field that appears in Maxwell's equations and plays a major role in the physics of various phenomena. The SI unit of electric displacement is Coulomb per meter square (C m-2).
The term electric displacement was first used in 1864 by James Clerk Maxwell in his paper "A Dynamical Theory of the Electromagnetic Field". However, it was Oliver Heaviside who reformulated Maxwell's complicated equations into their modern form. Heaviside, along with Willard Gibbs and Heinrich Hertz, grouped the equations into a distinct set now known as the Maxwell–Heaviside equations. Thus, it was Heaviside who likely gave the term "D" its modern significance.
Electric displacement is also called electric flux density because it calculates the density of electric flux within a charged field. The value of electric displacement, 'D', can be calculated by dividing the quantity of free charge on one plate by the plate's area. Due to the strong link between electric flux and electric charge, D is sometimes referred to as electric flux density or free charge surface density.
The D field and the E field are physically different entities. The E field is the total electric field that is directly measured, whereas the D field is a partial electric field that is only part of the total electric field E. The D field is not affected by the material's electric response, whereas the E field changes as it passes through materials.
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It is a vector field
Electric displacement, also known as electric flux density, is a vector field denoted by the letter "D". It is a fundamental concept in physics, representing the aspect of an electric field associated with the presence of separated free electric charges. This vector field arises in Maxwell's equations and plays a crucial role in understanding various phenomena, such as capacitance, dielectric response, and the impact of electric fields on material shapes in piezoelectricity and flexoelectricity.
The electric displacement field is indeed a vector field, and its vector nature is essential for comprehending the behaviour of electric fields and their interactions with materials. This vector field takes into account the effects of both free and bound charges within materials. It is defined as the charge per unit area that would be displaced across a layer of conductor placed within an electric field. This definition highlights its vectorial characteristic, as it involves the concept of displacement, which inherently possesses magnitude and direction.
In mathematical terms, the electric displacement field, D, can be expressed as the sum of the permittivity of free space, ε0, multiplied by the electric field, E, and the polarization density of the material, P: D = ε0E + P. This equation illustrates the relationship between the electric field and the polarization induced in the material due to the presence of the field. The vector nature of D becomes evident when considering its ability to account for the directionality of charge displacement and polarization within the material.
The SI unit of electric displacement is Coulombs per square meter (Cm-2), indicating the charge per unit area. This unit of measurement further reinforces the concept of electric displacement as a vector field, as it quantifies the amount of charge passing through a unit area, with the direction of displacement influencing the resulting electric field and associated phenomena.
Furthermore, the electric displacement field is intimately connected to the behaviour of dielectric materials. When a dielectric material is introduced into an electric field, it undergoes a shift in the electron cloud of its free electrons, resulting in the formation of electric dipoles. The negative and positive charges within the dielectric exhibit an affinity for the positive and negative plates, respectively, leading to their movement in specific directions. The electric displacement vector quantifies this polarization effect, measuring the vector flux of electric flux density in the dielectric material.
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Its SI unit is Coulomb per meter square
Electric displacement, denoted by D, is a vector field that appears in Maxwell's equations. It represents the aspect of an electric field associated with the presence of separated free electric charges, excluding the contribution of any bound charges in neutral atoms or molecules. When an electric field is applied to a dielectric material, the bound charges inside the material respond, resulting in the distribution of positive and negative charges in opposite directions.
Electric displacement is defined as the charge per unit area that is displaced across a layer of conductor positioned across an electric field. It is also known as electric flux density or free charge surface density. In the MKS system, the standard unit of measurement for electric displacement is Coulombs per square meter (C/m^2). This unit is also commonly referred to as Coulomb per meter square.
In the context of a parallel plate capacitor, the free charges are only present on the metal capacitor plates. The flux lines of D, representing the electric displacement field, begin and end on these free charges. The charge density on the plates is directly proportional to the value of the D field between them, as described by Gauss's law.
The electric displacement field plays a crucial role in understanding various physical phenomena. It is important in studying the capacitance of materials, the response of dielectrics to electric fields, shape changes due to electric fields in piezoelectricity or flexoelectricity, and the creation of voltages and charge transfer. By considering the effects of both free and bound charges in materials, the electric displacement field provides valuable insights into the behavior of electric fields and charged particles.
Overall, the SI unit of electric displacement being Coulomb per meter square (or Coulombs per square meter) is fundamental to quantifying and analyzing electric displacement in various contexts, contributing significantly to our understanding of electric fields and their interactions with conductors and dielectrics.
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Frequently asked questions
The SI unit of electric displacement is Coulomb per meter square (Cm^-2).
Electric displacement, denoted by D, is the charge per unit area that would be displaced across a layer of conductor placed across an electric field.
The equation for electric displacement is D = ε0E + P, where ε0 is vacuum permittivity, E is the electric field, and P is polarization density.
