The distance of the field point, on the equatorial plane of a small electric dipole, is halved. By what factor will the electric field, due to the dipole, change?

Explanation

To solve the problem of how the electric field due to a dipole changes when the distance to the field point on the equatorial plane is halved, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Electric Field of a Dipole**:
The electric field \( E \) at a point on the equatorial plane of a dipole is given by the formula:
\[
E = \frac{k \cdot p}{r^3}
...