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The electric field is defined as a vector field that associates to each point in space the force per unit of charge exerted on an infinitesimal test charge at rest at that point. [2] [3] [4] The SI unit for the electric field is the volt per meter (V/m), which is equal to the newton per coulomb (N/C). [5]
electric flux: volt metre: V⋅m kg⋅m 3 ⋅s −3 ⋅A −1: E electric field strength volt per metre: V/m = N/C kg⋅m⋅A −1 ⋅s −3: D electric displacement field: coulomb per square metre: C/m 2: A⋅s⋅m −2: ε permittivity: farad per metre: F/m kg −1 ⋅m −3 ⋅A 2 ⋅s 4: χ e electric susceptibility (dimensionless) 1 1 p ...
The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
Energy required to move a unit charge through an electric field from a reference point volt (V = J/C) L 2 M T −3 I −1: extensive, scalar Electrical resistance: R: Electric potential per unit electric current ohm (Ω = V/A) L 2 M T −3 I −2: extensive, scalar, assumes linearity Electrical resistivity: ρ e: Bulk property equivalent of ...
If the electric field is uniform, the electric flux passing through a surface of vector area A is = = , where E is the electric field (having the unit V/m), E is its magnitude, A is the area of the surface, and θ is the angle between the electric field lines and the normal (perpendicular) to A.
An electric field is produced when the charge is stationary with respect to an observer measuring the properties of the charge, and a magnetic field as well as an electric field are produced when the charge moves, creating an electric current with respect to this observer. Over time, it was realized that the electric and magnetic fields are ...
In the ISQ, 1/ε 0 converts or scales electric flux density, D, to the corresponding electric field, E (the latter has dimension of force per charge), while in the Gaussian system, electric flux density is the same quantity as electric field strength in free space aside from a dimensionless constant factor.
For example, since electric field strength is voltage per unit length, its unit is the volt per centimetre, which is one hundred times the SI unit. The system is electrically rationalized and magnetically unrationalized; i.e., 𝜆 = 1 and 𝜆′ = 4 π , but the above formula for 𝜆 is invalid.