The value of electric potential at any point | vedclass

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Question

(D) The electric potential $V$ due to an electric dipole at a point defined by position vector $\vec{r}$ is given by the formula:$V = \frac{kp \cos

Vedclass · Accepted Answer

$k \cdot \frac{\vec{p} \cdot \vec{r}}{r^3}$

Vedclass · Answer

(D) The electric potential $V$ due to an electric dipole at a point defined by position vector $\vec{r}$ is given by the formula:$V = \frac{kp \cos 	heta}{r^2}$Since the dot product of two vectors $\vec{p}$ and $\vec{r}$ is $\vec{p} \cdot \vec{r} = pr \cos 	heta$,we can rewrite the potential as:$V = \frac{k(pr \cos 	heta)}{r^3} = \frac{k(\vec{p} \cdot \vec{r})}{r^3}$Therefore,the correct expression is $k \cdot \frac{\vec{p} \cdot \vec{r}}{r^3}$.

The value of electric potential at any point due to an electric dipole is

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