Let V and E be the potential and electric fie | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The electric field $E$ and electric potential $V$ are related by the expression $E = -\frac{dV}{dr}$.If $V = 0$ at a point,it does not necessarily

Vedclass · Accepted Answer

If $V = 0$,then $E$ may be zero.

Vedclass · Answer

(D) The electric field $E$ and electric potential $V$ are related by the expression $E = -\frac{dV}{dr}$.If $V = 0$ at a point,it does not necessarily mean $E = 0$. For example,at the center of a uniformly charged spherical shell,$V$ is constant and non-zero,but $E = 0$. Conversely,between two equal and opposite charges,the potential $V$ is zero at the midpoint,but the electric field $E$ is non-zero.Similarly,if $E = 0$ at a point,it does not imply $V = 0$. For example,inside a charged conducting sphere,$E = 0$ everywhere,but $V$ is constant and equal to the potential at the surface.Therefore,if $V = 0$,$E$ may or may not be zero. Similarly,if $E = 0$,$V$ may or may not be zero.

Let $V$ and $E$ be the potential and electric field intensity at a point,respectively. Then:

Similar Questions

The electric potential is given by $V = 6x - 8xy^2 - 8y + 6yz - 4z^2$. Find the electric force in $N$ acting on a point charge of $2 \ C$ placed at the origin.

Electric field at a point $(x, y, z)$ is represented by $\vec E = 2x\hat i + y^2\hat j$. If the potential at $(0, 0, 0)$ is $2 \, V$,find the potential at $(1, 1, 1)$. (in $/3$)

Assume 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....$V$

If the electric potential at any point $(x, y, z) \, m$ in space is given by $V = 3x^2$ volt,the electric field at the point $(1, 0, 3) \, m$ will be ............

Obtain the relation between electric field and electric potential.

Vedclass Test Series

Exam Paper Generator

Online Exam Module