Otis Singleton
Electric displacement, also known as electric flux density, is a term that appears in Maxwell's equations of electromagnetism. It is a vector field denoted by 'D' and represents the aspect of an electric field associated with the presence of separated free electric charges. Electric displacement calculates the density of electric flux within a charged field, taking into account the introduction of a dielectric or insulating material. This introduction of an insulator results in a shift of charge or polarization, reducing the value of the electric field. The displacement field also accounts for the electromagnetic effects of polarization and the electric field, playing a significant role in various physical phenomena, such as capacitance, the response of dielectrics to an electric field, and the creation of voltages.
| Characteristics | Values |
|---|---|
| Term Origin | James Clerk Maxwell, 1864 |
| Denotation | D |
| Definition | Electric displacement is a vector field that represents the aspect of an electric field associated with the presence of separated free electric charges, excluding the contribution of any bound electric charges in neutral atoms or molecules. |
| Calculation | Electric displacement calculates the density of electric flux within a charged field, taking into account the introduction of a dielectric. |
| Units | Coulomb per meter square (C m^-2) |
| Relation to Other Variables | The relationship between the vectors D, E, and P in the SI system is: D = ε0E + P, where ε0 is the permittivity of a vacuum. |
| Relation to Dielectrics | Electric displacement is used in dielectric materials to find the response of the materials when an electric field is applied. |
| Relation to Polarization | The introduction of a dielectric material within an electric field results in a shift in the electron cloud of free electrons, leading to polarization. |
| Relation to Capacitance | Electric displacement plays a role in understanding the capacitance of a material. |
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What You'll Learn
- Electric displacement calculates the density of electric flux within a charged field
- It accounts for electromagnetic effects of polarization and electric fields
- Electric displacement measures the dielectric polarization vector
- It is used to find the response of dielectric materials when an electric field is applied
- Electric displacement is a vector field denoted by 'D'
Electric displacement calculates the density of electric flux within a charged field
Electric displacement, also known as electric flux density, is a term that appears in Maxwell's equations of electromagnetism. It is a vector field denoted by 'D' and is used to calculate the density of electric flux within a charged field. It accounts for the electromagnetic effects of polarization and electric fields, combining the two in an auxiliary field.
When an electric charge is transferred between two uncharged parallel metal plates, one becomes positively charged and the other negatively charged, resulting in an electric field between them. If an insulated slab is introduced between the charged plates, the electric charges on the insulating material become polarized. This means that the negative charges (atomic electrons) move slightly towards the positive plate, while the bound positive charges move towards the negative plate. This shift in charge, or polarization, reduces the value of the electric field that was present before the insertion of the insulation.
The electric displacement field can be calculated using the relationship between the three vectors D, E, and P, which represent the electric displacement, electric field, and polarization density, respectively. In the metre-kilogram-second (mks) or SI system, the relationship is given by D = ε0E + P, where ε0 is the permittivity of a vacuum. The value of electric displacement 'D' can be determined by dividing the quantity of free charge on one plate by the plate's area.
Electric displacement is particularly relevant in the context of dielectric materials. A dielectric material is an electrical insulator that can be polarized when placed in an electric field. When an electric field is applied to a dielectric, the bound charges inside the material respond by moving in specific directions. The negative charges move in the direction of the electric field, while the positive charges move in the opposite direction. This phenomenon leads to the creation of electric dipoles within the dielectric material, contributing to the total electric displacement field in the system.
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It accounts for electromagnetic effects of polarization and electric fields
Electric displacement is a vector field that appears in Maxwell's equations. It is also called electric flux density and is denoted by D. It is associated with the presence of separated free electric charges and does not take into account the contribution of any electric charges bound together in neutral atoms or molecules.
When an electric charge is transferred between two uncharged parallel metal plates, one becomes positively charged and the other negatively charged, resulting in an electric field between the plates. Introducing a dielectric material within this electric field causes a shift in the electron cloud of the free electrons. This shift of charge, or polarization, reduces the value of the electric field that was present before the insertion of the insulation.
The actual average value of the electric field E, therefore, has two components: P, which depends on the bound polarization charges, and D, which depends on the free separated charges on the plates. The relationship among the three vectors D, E, and P in the metre-kilogram-second (mks) or SI system is: D = ε0E + P (ε0 is a constant, the permittivity of a vacuum). In the centimetre-gram-second (cgs) system, the relationship is: D = E + 4πP.
The Electric Displacement vector thus measures the dielectric polarization vector. It accounts for the electromagnetic effects of polarization and the electric field, combining the two in an auxiliary field.
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Electric displacement measures the dielectric polarization vector
Electric displacement is a term that appears in Maxwell's equations of electromagnetism. It is a vector field denoted by 'D'. Maxwell introduced the term to account for the electromagnetic effects of polarization and that of an electric field, combining the two in an auxiliary field.
When a dielectric substance is introduced within an electric field, it undergoes a shift in the electron cloud of its free electrons. This shift results in the dielectric becoming a dipole. The negative and positive charges in the dielectric show an affinity towards the positive and negative plates, respectively. As a result, they travel in specific directions along a particular line.
The Electric Displacement vector thus measures the dielectric polarization vector. It calculates the density of electric flux within a charged field, accounting for the instance when a dielectric is introduced into the apparatus. A dielectric refers to an insulating material that lacks any free or loosely bound electrons.
The electric displacement field is the result of the electric field due to all the free charges and all the dipoles in a system. This displacement field does not occur until some external potential polarizes the system. When an external potential is applied to the ends of an insulating material, the field due to free charges that accumulate at either end of the material produces an electric field across the dielectric material. This field causes the bound charges in the material to separate, resulting in the dielectric material containing several dipole moments.
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It is used to find the response of dielectric materials when an electric field is applied
Electric displacement, denoted by D, is a term that appears in Maxwell's equations of electromagnetism. It is a vector field that accounts for the electromagnetic effects of polarization and that of an electric field, combining the two in an auxiliary field.
When an electric field is applied to a dielectric material, the electric field causes a separation of charges within the material, creating positive and negative dipoles. This phenomenon is known as dielectric polarization. Dielectric materials are electrical insulators, meaning they do not have any free or loosely bound electrons. However, when placed in an electric field, the electrons within the material are polarized, meaning they move from their average equilibrium position. The negative charges move slightly towards the positive side of the electric field, and the positive charges move in the opposite direction. This results in an overall decrease in the electric field.
The magnitude and direction of this alignment of charges can be determined by examining the electric displacement vector, which measures the dielectric polarization vector. The electric displacement vector thus plays a crucial role in understanding the response of dielectric materials to an applied electric field. It helps to calculate the density of electric flux within the charged field and accounts for the instance when a dielectric is introduced into the apparatus.
The electric displacement field is also used to find the displacement current passing between the plates of a capacitor. It is calculated using the formula D = ϵ0E + P, where ϵ0 is the vacuum permittivity, E is the electric field, and P is the polarization density.
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Electric displacement is a vector field denoted by 'D'
Electric displacement, denoted by D, is a vector field that appears in Maxwell's equations of electromagnetism. It was introduced by James Clerk Maxwell in 1864 to account for the discrepancy in Faraday's equations regarding the effect of bound charges in a capacitor. Maxwell's concept of electric displacement, also known as the electric displacement field, resolved this issue by considering the displacement current given by flux density for charges at rest.
The electric displacement field is a fundamental concept in physics, representing the aspect of an electric field associated with the presence of separated free electric charges. It specifically measures the dielectric polarization vector and the vector flux of electric density in a given dielectric material. This vector field is of utmost importance in understanding the behaviour of dielectric materials when exposed to an electric field. Dielectrics, or insulating materials, do not facilitate the movement of free electric charges but exhibit polarization when introduced into an electric field.
The introduction of a dielectric material within an electric field results in a shift in the electron cloud of free electrons. This shift leads to negative and positive charges in the dielectric showing an affinity for the positive and negative plates, respectively. Consequently, these charges travel in specific directions, contributing to the total electric displacement field in the system. The electric displacement field can be calculated using the relationship between the vectors D, E, and P, which represent electric displacement, electric field, and polarization density, respectively.
The value of electric displacement, 'D', can be determined by dividing the quantity of free charge on one plate by the plate's area. Electric displacement is expressed in the SI unit of coulomb per unit square (C⋅m^-2) and plays a significant role in various physical phenomena. These phenomena include 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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Frequently asked questions
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 an electric flux density or electric vector.
Electric displacement calculates the density of electric flux within a charged field. It accounts for the electromagnetic effects of polarization and that of an electric field, combining the two in an auxiliary 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, and the creation of voltages.
Electric displacement is a vector field that appears in Maxwell's equations of electromagnetism. 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.
The value of electric displacement, 'D', can be calculated by dividing the quantity of free charge on one plate by the plate's area. In the SI system, the relationship between the vectors D, E, and P is D = ε0E + P, where ε0 is the permittivity of a vacuum.
