Question

5 What is the electric field at point P, located at position (a, a), from the dipole shown in the figure below? Point P (a, a) a dipole a

Answer 1

Expression for Electric field due to a dipole at any point is as follows:

E = (1/4πe_o)*{p *sqrt(3 (cos$\Theta$)² +1)}/r^{​​​​​​3}

Where, p is the dipole moment

$\Theta$ is the angle between axis of dipole and the line joining mid point of dipole and point P.

r is the distance between dipole and point P

Here, r = a* sqrt(2)

Here theta can be neglected as per the given question, so taking $\Theta$ = 0, we get,

sqrt(3 (cos$\Theta$)² +1) = 2

So, E = (1/4πe_o)*{2p}/(a*sqrt(2))³

K = 1/4πe_o

E = (K*p )/√2a³