Class 12PhysicsElectric Potential and CapacitanceRelation between Electric Field and Potential and Potential Gradient
EasyWhat is potential gradient?
(N/A) The potential gradient is defined as the rate of change of electric potential with respect to distance in the direction of the electric field.
Mathematically,it is expressed as $E = -\frac{dV}{dr}$,where $E$ is the electric field intensity,$V$ is the electric potential,and $r$ is the distance.
The negative sign indicates that the electric potential decreases in the direction of the electric field.
The $SI$ unit of potential gradient is $V/m$ (volt per meter).
Mathematically,it is expressed as $E = -\frac{dV}{dr}$,where $E$ is the electric field intensity,$V$ is the electric potential,and $r$ is the distance.
The negative sign indicates that the electric potential decreases in the direction of the electric field.
The $SI$ unit of potential gradient is $V/m$ (volt per meter).
Explore More
Similar Questions
The electric field $\vec E$ between two points is constant in both magnitude and direction. Consider a path of length $d$ at an angle $\theta = 60^o$ with respect to the field lines as shown in the figure. The potential difference between points $1$ and $2$ is
Easy
View SolutionThe electric potential for an electric field directed parallel to $X$-axis is shown in the figure. Choose the correct plot of electric field strength.
MediumWBJEE 2022
View SolutionAssume that an electric field $E=20 x^2 \hat{i}$ exists in space. If $V_0$ is the potential at the origin and $V_A$ is the potential at $x=3 \ m$,then the potential difference $V_A-V_0$ in volts is
DifficultMHT CET 2022
View SolutionThe variation of potential with distance $R$ from a fixed point is as shown in the graph. The electric field at $R = 5\,m$ is......$V/m$.
Medium
View SolutionThe potential function of an electrostatic field is given by $V = 2x^2$. Determine the electric field strength at the point $(2 \ m, 0, 3 \ m)$.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo