Question

ᴅᴇғɪɴᴇ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅᴜᴇ ᴛᴏ ᴅɪᴘᴏʟᴇ ?
ᴀɴᴅ ᴅᴇʀɪᴠᴇ ᴀɴ ᴇxᴘʀᴇssɪɪɴ ғᴏʀ ɪᴛ ᴀʟsᴏ ?​

Answer 1

The potential due to a dipole depends on r (distance between the point where potential is calculated and the mid-point of the dipole) and angle between position vector r and dipole moment p. Dipole potential is inversely proportional to square of r.

Thus due to an electric dipole ,potential, V∝r21 (ii) When the point P lies on the equatorial line of the dipole, θ=90∘ cosθ=0. i.e electric potential due to an electric dipole is zero at every point on the equatorial line of the dipole

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Answer 2

$\huge\mathfrak\green{ANSWER}$

The dipole moment is represented by p which is a vector quantity. The potential due to a dipole depends on r (distance between the point where potential is calculated and the mid-point of the dipole) and angle between position vector r and dipole moment p. Dipole potential is inversely proportional to square of r.

Thus due to an electric dipole ,potential, V∝r21 (ii) When the point P lies on the equatorial line of the dipole, θ=90∘ cosθ=0. i.e electric potential due to an electric dipole is zero at every point on the equatorial line of the dipole.

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