Class 12PhysicsElectrostatic Potential and CapacitanceRelation between Electric Field and Potential and Potential Gradient
MediumAssume that an electric field $\vec{E} = 30x^2 \hat{i}$ exists in space. Then the potential difference $V_A - V_O$,where $V_O$ is the potential at the origin and $V_A$ is the potential at $x = 2 \ m$,is....$V$
- A$-120$
- B$-80$
- C$80$
- D$120$
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Similar Questions
The following figure shows the electric potential $V$ as a function of position $x$ across $4$ regions on the $x$-axis. Which of the following is correct for the electric field $E$ in these regions?
DifficultMHT CET 2026
View SolutionThe electric potential $V$ at any point $(x, y, z)$ (all in $m$) in space is given by $V = 4x^2 \ V$. The electric field at the point $(1 \ m, 0, 2 \ m)$ in $V/m$ is:
Medium
View SolutionThe potential $\phi(x, y)$ of an electrostatic field $\vec{E} = a(y \hat{i} + x \hat{j})$ is [where $a$ is a constant and $\hat{i}$ and $\hat{j}$ are unit vectors along $X$ and $Y$ axes].
The figure shows a set of equipotential surfaces. The magnitude and direction of the electric field that exists in the region is .........
Medium
View SolutionDue to some charges on the $x$-axis,the potential at a point on the $x$-axis is given by $V(x) = 20/(x^2 - 4) \ V$. The electric field at $x = 4 \ \mu m$ is given by:
Difficult
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