Verified Solution • 2025–26 Session moderate

QJEEM25Phea85: JEE Main 2025 Physics - Class 12 JEEM25Phea85 Solution: For a short dipole placed at origin O , the dipole moment P is…

For a short dipole placed at origin O , the dipole moment P is along xx -axis, as shown in the figure. If the electric potential and electric field at AA are V0V_0 and E0E_0 , respectively, then the correct combination of the electric potential and electric field, respectively, at point B on the yy -axis is given by

JEE Main 2025 (Online) 22nd January Evening Shift Physics - Electrostatics Question 12 English

Multiple Choice Options

  • A V02\frac{V_0}{2} and E016\frac{E_0}{16}
  • B zero and E08\frac{E_0}{8}
  • C V0\mathrm{V}_0 and E04\frac{\mathrm{E}_0}{4}
  • D zero and E016\frac{E_0}{16}

Step-by-Step Verified Solution

amp;EA=2kPr3=E0&VA=kPr2=v0amp;EB=kP(2r)3=E016&VB=kp⃗⋅r^r2=0\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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