There exists a non-uniform electric field alo | vedclass

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

Question

(D) The electric field $E$ increases along the positive $x-$ axis. Let $E_1$ be the field at the position of the negative charge $(-q)$ and $E_2$ be t

Vedclass · Accepted Answer

Dipole moves along negative $x-$ axis and undergoes an anticlockwise rotation

Vedclass · Answer

(D) The electric field $E$ increases along the positive $x-$ axis. Let $E_1$ be the field at the position of the negative charge $(-q)$ and $E_2$ be the field at the position of the positive charge $(+q)$. Since the field increases along the positive $x-$ axis,$E_2 > E_1$. The force on the positive charge is $F_2 = qE_2$ (directed along the positive $x-$ axis). The force on the negative charge is $F_1 = qE_1$ (directed along the negative $x-$ axis). Since $E_2 > E_1$,the net force $F_{net} = F_2 - F_1 = q(E_2 - E_1)$ is directed along the positive $x-$ axis. Wait,looking at the diagram,the negative charge is at a larger $x$ coordinate than the positive charge. Therefore,the field at the negative charge is stronger. Let $x_{-q} > x_{+q}$,so $E(-q) > E(+q)$. Force on $-q$ is $F_1 = qE(-q)$ (towards negative $x-$ axis). Force on $+q$ is $F_2 = qE(+q)$ (towards positive $x-$ axis). Since $E(-q) > E(+q)$,the net force is towards the negative $x-$ axis. The torque $	au = p 	imes E$ tends to rotate the dipole to align with the field. In this configuration,the torque causes an anticlockwise rotation.

There exists a non-uniform electric field along the $x-$ axis as shown in the figure below. The field increases at a uniform rate along the $+ve$ $x-$ axis. $A$ dipole is placed inside the field as shown. Which one of the following is correct for the dipole?

Similar Questions

What is the net charge on an electric dipole? Why?

Electrical field intensity due to an electric dipole on its axis at distance $x$ $(x \gg a)$ and on the equatorial line at distance $y$ $(y \gg a)$ are same. What is the ratio of $x$ and $y$?

An electric field of $1000\,V/m$ is applied to an electric dipole at an angle of $45^\circ$. The value of the electric dipole moment is $10^{-29}\,C\cdot m$. What is the potential energy of the electric dipole?

Vedclass Test Series

Exam Paper Generator

Online Exam Module