The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then the potential `phi` at that point is

Options

A. `(WQ)/(x)`
B. W
C. `W/x`
D. WQ

Answer

To find the electric potential \( \phi \) at a point located at a distance \( x \) from a positive charge \( Q \), given that the work done in bringing a unit positive charge from infinity to that point is \( W \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Electric Potential**:
The electric potential \( \phi \) at a point in an electric field is defined as the work done per unit charge in bringing a positive test charge from infinity to that point.

2. **Work Done Definition**:
According to the problem, the work done in bringing a unit positive charge from infinity to a point at distance \( x \) from charge \( Q \) is given as \( W \).

3. **Relating Work Done to Potential**:
By definition, the potential \( \phi \) at a point is equal to the work done \( W \) in bringing a unit positive charge from infinity to that point. Therefore, we can express this relationship mathematically as:
\[ \phi = W \]

4. **Conclusion**:
Thus, the potential \( \phi \) at the point located at distance \( x \) from the charge \( Q \) is simply equal to the work done \( W \).

### Final Answer:
\[ \phi = W \]

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