Electric field strength in point A
E=4πϵ0q(r221−r121) We may apply the mean value theorem
E=4πϵ0qdrd(r21)∣∣r=ξ(r2−r1)=4πϵ01ξ32p where
ξ∈[r2,r1] Dipole is a point particle, hence
ξ=r where r is a distance between dipole and point A.
So the electric field strength due to dipole of moment p at a distant point r along the axis of the dipole is
E=4πϵ01r32p or in vector form
E=4πϵ01r32p
Comments
Leave a comment