The electrostatic energy of a charge of 5C at a point in the electrostatic field is 50 J. The potential at that point is :

Options

A. 0.1 V
B. 5 V
C. 10 V
D. 250 V

Answer

To find the potential at a point in an electrostatic field given the electrostatic energy and the charge, we can use the formula for potential energy:

\[ U = q \cdot V \]

Where:
- \( U \) is the potential energy (in joules),
- \( q \) is the charge (in coulombs),
- \( V \) is the electric potential (in volts).

### Step-by-Step Solution:

1. **Identify the given values:**
- Charge \( q = 5 \, C \)
- Potential energy \( U = 50 \, J \)

2. **Use the formula for potential energy:**
\[ U = q \cdot V \]

3. **Rearrange the formula to solve for potential \( V \):**
\[ V = \frac{U}{q} \]

4. **Substitute the known values into the equation:**
\[ V = \frac{50 \, J}{5 \, C} \]

5. **Calculate the potential:**
\[ V = 10 \, V \]

### Final Answer:
The potential at that point is \( 10 \, V \).

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