An electric dipole consists of charges +q and –q at separation x. At distance d(d >> x) on equatorial position of dipole, the field is proportional to
Answers
electric field due to dipole at equatorial line is proportional to x.
It has given that an electric dipole consists of charges +q and -q at seperation x. at distance (d >> x) on equatorial position of dipole, the field is proportional to ....
let a point P is point of observation seperated d distance apart from the midpoint of dipole axis. and also +q is placed at A and -q is placed at B.
now electric field due to +q at a point P, E₁ = kq/[√(d² + x²/4)]² along AP
electric field due to -q at a point P, E₂ = Kq/[√(d² + x²/4)]² along PB
net electric field due to dipole at equatorial line, E = E₁cosΦ + E₂cosΦ
= kq/[√(d² + x²/4)]² × (x/2)/√(d² + x²/4) + kq/[√(d² + x²/4)]² × (x/2)/√(d² + x²/4)
= kqx/(d² + x²/4)³/²
as d >> x so, d² >> x²/4
so, E = kqx/d³
therefore, electric field due to dipole at equatorial line is proportional to x.