Can the electric field by a small dipole be zero at a finite distance from electric dipole ?

Explanation

To determine whether the electric field due to a small dipole can be zero at a finite distance from the dipole, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Electric Dipole**:
An electric dipole consists of two equal and opposite charges, +Q and -Q, separated by a distance of 2a. The dipole moment (p) is defined as \( p = Q \cdot 2a \).

2. **Identifying Points of Interest**:
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