The electric potential due to an electric dip | vedclass

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Question

(A) The electric potential $V$ at a point due to an electric dipole with dipole moment $\vec{P}$ at a position vector $\vec{r}$ from the center of the

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) The electric potential $V$ at a point due to an electric dipole with dipole moment $\vec{P}$ at a position vector $\vec{r}$ from the center of the dipole is given by the formula:$V = \frac{1}{4\pi\epsilon_0} \frac{\vec{P} \cdot \hat{r}}{r^2}$Since the unit vector $\hat{r} = \frac{\vec{r}}{r}$,we can substitute this into the equation:$V = \frac{1}{4\pi\epsilon_0} \frac{\vec{P} \cdot \vec{r}}{r^3}$Using the constant $k = \frac{1}{4\pi\epsilon_0}$,the expression becomes:$V = k \frac{\vec{P} \cdot \vec{r}}{r^3}$Therefore,the correct option is $A$.

The electric potential due to an electric dipole at a given point is .......

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