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JEE MAIN 2025
22-01-2025 SHIFT-2
Question
For a short dipole placed at origin $O$, the dipole moment $P$ is along $x$-axis, as shown in the figure. If the electric potential and electric field at $A$ are $V_0$ and $E_0$, respectively, then the correct combination of the electric potential and electric field, respectively, at point B on the $y$-axis is given by
Select the correct option:
A
$V_0 \text { and } \frac{E_0}{4}$
B
$\text { zero and } \frac{E_0}{8}$
C
$\frac{V_0}{2} \text { and } \frac{E_0}{16}$
D
$\text { zero and } \frac{E_0}{16}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
\begin{aligned} & E_A=\frac{2 k P}{r^3}=E_0 \& V_A=\frac{k P}{r^2}=v_0 \\ & E_B=\frac{k P}{(2 r)^3}=\frac{E_0}{16} \& V_B=\frac{k \vec{P} \cdot \hat{r}}{r^2}=0 \end{aligned}
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Physics
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