CBSE Class 12-science Answered
Obtain the ratio of Electric field formed by an ideal dipole at points lying on axial and equatorial axis.
Asked by avaneesh1162 | 12 Jun, 2021, 11:06: AM
Expert Answer
Let a dipole consists of charges +q and -q that are separated by a distance d is placed at origin of
X-Y coordinate system so that mid point of dipole coinicides with origin.
Electric field at a point x = r on x-axis is given as
..................................(1)
Where K = 1/ (4πεo ) is Coulomb's constant
if we consider dipole moment p = ( q × d ) and r >> d/2 , then eqn.(1) is written as
Ex = K × [ ( 2 p ) / r3 ] ............................ (2)
Electric field at a point y = r on y-axis is given as
Ey = 2 E cosθ .................................(3)
Where E is given as
Hence we get Ey as , .........................(4)
In above expression , we used the approximation r >> d and dipole moment p = ( q × d )
From eqn.(2) and eqn.(4) , we get ( Ex / Ey ) = 2
Answered by Thiyagarajan K | 12 Jun, 2021, 02:59: PM
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