Electric potential due to a single charge is……….. .

Explanation

To find the electric potential due to a single charge, we can follow these steps:

### Step 1: Understanding Electric Potential
Electric potential (V) at a point in space due to a point charge is defined as the work done in bringing a unit positive charge from infinity to that point against the electric field created by the charge.

### Step 2: Formula for Electric Potential
The electric potential \( V \) due to a point charge \( Q \) at a distance \( r \) from the charge is given by the formula:
\[ V = \frac{kQ}{r} \]
where \( k \) is Coulomb's constant (\( k \approx 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)).

### Step 3: Characteristics of Electric Potential
1. **Spherical Symmetry**: The electric potential due to a single point charge is spherically symmetric. This means that the potential is the same at all points that are equidistant from the charge.
2. **Equipotential Surfaces**: The surfaces where the potential is constant are called equipotential surfaces. For a point charge, these surfaces are spheres centered around the charge.

### Step 4: Conclusion
Thus, the electric potential due to a single charge is spherically symmetric, meaning that at any point on the equipotential surface (which is a sphere), the potential remains the same.

### Final Answer
The electric potential due to a single charge is **spherically symmetric**.

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