Physics Question from PR

[tcwd]

<p>"Which of the following statements is/are true?</p>

<p>I. If the electric field at a certain point is 0, then the electric potential at the same point is also 0.</p>

<p>II. If the electric potential at a certain point is 0, then the electric field at the same point is also 0.</p>

<p>III. The electric potential is inversely proportional to the strength of the electric field"</p>

<p>Okay, I know III is definitely not true, but I don't quite understand why I and II are also false. </p>

<p>I was thinking since V = dU/q and dU = -qEr, if E = 0, dU = 0, and consequently V = 0 as well.</p>

<p>There's something wrong with my thinking, I know. I just don't know what.. Can anyone here help? Thanks ! :)</p>

[spideyunlimited]

<p>Electric field = kq/r^2
Electric Potential = kq/r</p>

<p>Electric potential at a point may be non-zero at the same time having a 0 electric field.
That is because electric field as a direction to it, so when two field vectors are along opposite directions, they can cancel out each other; potential on the other hand is always added up.</p>

<p>So, if potential is zero, it is only because the charge is 0, which implies field also = 0.
However, if field is zero, it doesn’t imply the potential is also 0.</p>

<p>So, II is correct.</p>