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Question:

A point dipole p⃗ = p_0x̂ is kept at the origin. The potential and electrical field due to this dipole on the y-axis at a distance d are, respectively:(Take V = 0 at infinity):A point dipole p⃗ = p_0x̂ is kept at the origin. The potential and electrical field due to this dipole on the y-axis at a distance d are, respectively:(Take V = 0 at infinity):A|p⃗|4πε_0d^2, p⃗4πε_0d^3|p→|4πε0d2,p→4πε0dB|p→|4πε0d2,−p→4πε0d|p→|4πε0d2,−p→4πε0dC0,p→4πε0d30,p→4πε0d3D0,−p→4πε0d30,−p→4πε0d3?

|p→|4πε0d2,p→4πε0d

|p→|4πε0d2,−p→4πε0d

0,p→4πε0d3

0,−p→4πε0d3

Solution:

Correct option is D.0,−p→4πε0d3V=0E=−KP→r3=−p→4πε0d