Class 12PhysicsElectrostatic Potential and CapacitanceRelation between Electric Field and Potential and Potential Gradient
MediumWrite the relation between electric field and electrostatic potential.
(N/A) The electric field $E$ at a point is defined as the negative gradient of the electrostatic potential $V$ at that point.
Mathematically,this is expressed as:
$E = -\nabla V$
In one dimension,this relation is given by:
$E = -\frac{dV}{dr}$
where $E$ is the electric field,$V$ is the electrostatic potential,and $r$ is the position coordinate.
Mathematically,this is expressed as:
$E = -\nabla V$
In one dimension,this relation is given by:
$E = -\frac{dV}{dr}$
where $E$ is the electric field,$V$ is the electrostatic potential,and $r$ is the position coordinate.
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