Two point charges +q and -q are held fixed at | vedclass

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Question

(A) The electric dipole is formed by charges $+q$ at $(-d, 0)$ and $-q$ at $(d, 0)$.$1$. The dipole moment $\overrightarrow{p}$ is directed from $-q$

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$E$ at all points on the $Y$-axis is along $\hat{i}$

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(A) The electric dipole is formed by charges $+q$ at $(-d, 0)$ and $-q$ at $(d, 0)$.$1$. The dipole moment $\overrightarrow{p}$ is directed from $-q$ to $+q$,which is along the negative $X$-axis ($-\hat{i}$ direction).$2$. For any point on the $Y$-axis (equatorial plane),the electric field $\overrightarrow{E}$ is antiparallel to the dipole moment $\overrightarrow{p}$. Since $\overrightarrow{p}$ is along $-\hat{i}$,$\overrightarrow{E}$ at all points on the $Y$-axis is along $+\hat{i}$. Thus,option $(a)$ is correct.$3$. On the $X$-axis,the electric field direction changes depending on whether the point is between the charges or outside them. Thus,option $(b)$ is incorrect.$4$. The dipole moment is $\overrightarrow{p} = q(2d)$ directed from $-q$ to $+q$,which is along $-\hat{i}$. Thus,option $(c)$ is incorrect.$5$. The electric potential $V$ at the origin $(0, 0)$ is $V = k(+q)/d + k(-q)/d = 0$. The work done in bringing a test charge $q_0$ from infinity to the origin is $W = q_0 \Delta V = q_0(V_{origin} - V_{\infty}) = q_0(0 - 0) = 0$. Thus,option $(d)$ is incorrect.

Two point charges $+q$ and $-q$ are held fixed at $(-d, 0)$ and $(d, 0)$ respectively of a $(X, Y)$ coordinate system. Then:

Similar Questions

Three identical charges are placed at the three corners of an equilateral triangle as shown in the figure. Which of the following statements is true for the electric field $E$ and electric potential $V$ at the center $O$?

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