Equipotential surfaces associated with an ele | vedclass

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(A) The electric field $\vec{E}$ is directed along the $x$-axis. The relation between electric field and potential is given by $\vec{E} = -
abla V$.

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Planes parallel to $yz$-plane

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(A) The electric field $\vec{E}$ is directed along the $x$-axis. The relation between electric field and potential is given by $\vec{E} = -
abla V$. Since the electric field is only in the $x$-direction, the potential $V$ depends only on $x$, i.e., $V = V(x)$. An equipotential surface is a surface where the potential $V$ is constant. For $V(x) = 	ext{constant}$, $x$ must be constant. A surface defined by $x = 	ext{constant}$ is a plane parallel to the $yz$-plane. Even if the magnitude of the electric field increases along the $x$-direction, the equipotential surfaces remain planes perpendicular to the direction of the electric field (i.e., parallel to the $yz$-plane), although their spacing will decrease as the field strength increases.

Equipotential surfaces associated with an electric field which is increasing in magnitude along the $x$-direction are

Similar Questions

There are two equipotential surfaces as shown in the figure. The distance between them is $r$. If a charge of $-q \text{ C}$ is moved from surface $A$ to surface $B$,the resultant work done will be:

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Which of the following statements is $NOT$ $TRUE$?

Work done in moving a positive charge on an equipotential surface is

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