Question

choose the correct statement. the potential of a negatively charged conductor must be negative. if $vec{e}=0$ at a point p, then v must be zero at p. a proton tends to go from a region of low potential to a region of high potential. if v = 0 at a point p, then $vec{e}$ must be zero at p. none of the choices are correct.

Explanation:

Step1: Analyze electric - potential and electric - field relationship

The relationship between electric field $\vec{E}$ and electric potential $V$ is $\vec{E}=-
abla V$. Just because $V = 0$ at a point does not mean $\vec{E}=0$ at that point. For example, at the mid - point between two equal and opposite charges, $V = 0$ but $\vec{E}
eq0$.

Step2: Analyze proton's behavior

A proton (a positive charge) moves from a region of high potential to a region of low potential because the force on a positive charge $F = q\vec{E}$ and the electric field points from high to low potential.

Step3: Analyze $\vec{E}=0$ and $V$ relationship

If $\vec{E}=0$ at a point $P$, it does not mean $V = 0$ at that point. $V$ can be a non - zero constant when $\vec{E}=0$ since $\vec{E}=-
abla V$. A charged conductor in electrostatic equilibrium has $\vec{E}=0$ inside it, but the potential inside is non - zero and equal to the potential on its surface.

Step4: Analyze potential of a negatively - charged conductor

The potential of a negatively - charged conductor is not necessarily negative. The potential is defined relative to a zero potential reference point. If we choose a very large negative potential as the reference, the potential of a negatively - charged conductor can be positive.

Answer:

None of the choices are correct.