The unit Volt/metre corresponds to Electric field intensity.
Relation between Field and Potential: The electric field (E) is related to the spatial rate of change of the electrostatic potential (V). Mathematically, for a small displacement, the relationship is ∣E∣=δlδV or more generally E=−drdV .
Unit Derivation:
The unit of Potential (V) is the Volt (V).
The unit of distance/length (l or r) is the Metre (m).
Therefore, the unit of Electric Field Intensity (E) is Volt/metre (V/m) .
Comparison: This unit is equivalent to Newton/Coulomb (N/C), which is derived from the force definition E=F/q .
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