If electric potential is zero, the `vec (E )` are:

Options

A. zero
B. not zero
C. insufficient formation
D. `oo`

Explanation

To solve the question "If electric potential is zero, what can we say about the electric field \(\vec{E}\)?", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Electric Potential and Electric Field**:
- Electric potential (V) at a point in space is a measure of the potential energy per unit charge at that point.
- Electric field (\(\vec{E}\)) is related to electric potential by the equation:
\[ \vec{E} = -\nabla V \]
- This means that the electric field is the negative gradient of the electric potential.

2. **Analyzing the Condition of Zero Electric Potential**:
- If the electric potential \(V\) is zero at a point, it doesn't necessarily mean that the electric field \(\vec{E}\) is also zero.
- The electric field can be present even when the potential is zero, as the electric field is dependent on how the potential changes in space.

3. **Understanding the Implications**:
- If \(V = 0\) at a specific point, it indicates that the potential energy per unit charge is zero at that location.
- However, if there are other points in the vicinity where the potential is not zero, there can still be a non-zero electric field pointing towards or away from the region of higher potential.

4. **Conclusion**:
- Therefore, we can conclude that if the electric potential is zero at a point, the electric field \(\vec{E}\) at that point can be either zero or non-zero depending on the surrounding electric potential configuration.

### Final Answer:
If electric potential is zero, the electric field \(\vec{E}\) can be either zero or non-zero.

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