The electric field due to a short dipole at a distance r, on the axial line, from its mid point is the same as electric field at a distance `r^(')` on the equatorial line, from its mid point.Determine the ratio `r//r'`.

Explanation

To solve the problem, we need to find the ratio \( \frac{r}{r'} \) where \( r \) is the distance from the midpoint of a short dipole to the axial point, and \( r' \) is the distance to the equatorial point.

### Step-by-Step Solution:

1. **Understanding the Electric Field due to a Dipole:**
- The electric field \( E \) at a distance \( r \) from the midpoint of a short dipole on the axial line is given by:
\[
E = \frac{2kp}{r^3}
...