Question

Show that E(axisl) = -2E(Equa)

Answer 1

Explanation:

1. Given:
2. A short Electrostatic dipole has been provided.
4. To show:
5. E_(axial) = -2 × E_(equatorial)
7. Proof:
8. We will assume the Electrostatic dipole to be short such that inter-charge distance will be insignificant as compared to the the distance between the dipole and the point at which the electric field intensity is measured.
10. At axial position:
12. 
14. At equatorial position:
16. 
18.  represents the direction of the dipole.
20. Comparing the two Equations:
22.