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JEE Main 202522 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
22 January
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2025 · 22 January · Evening Shift · Physics · Electrostatics

For a short dipole placed at origin O , the dipole moment P is...

For a short dipole placed at origin OO, the dipole moment PP is along xx-axis, as shown in the figure. If the electric potential and electric field at A are V0\mathrm{V}_0 and E0\mathrm{E}_0, respectively, then the correct combination of the electric potential and electric field, respectively, at point BB on the yy-axis is given by For a short dipole placed at origin O , the dipole moment P is along x -axis, as shown in the figure. If the electric

Options

  1. AV0V_0 and E04\frac{E_0}{4}
  2. Bzero and E016\frac{E_0}{16}
  3. Czero and E08\frac{E_0}{8}
  4. DV02\frac{\mathrm{V}_0}{2} and E016\frac{\mathrm{E}_0}{16}

Correct answer

B. zero and E016\frac{E_0}{16}

Step-by-step solution

At point AA (axial) ∣E0∣=2kpr3,V0=kpr2\left|E_0\right|=\frac{2 k_p}{r^3}, V_0=\frac{k_p}{r^2} At point BB (equatorial) ∣E∣=kp(2r)3=E016V=0\begin{aligned} & |E|=\frac{k_p}{(2 r)^3}=\frac{E_0}{16} \\ & V=0 \end{aligned}
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