The amount of work done in moving a charge of 5 C across two points having a potential difference of 15 Volts is equal to

Options

A. 0.333 J
B. 3 J
C. 6 J
D. 75 J

Answer

To solve the problem of calculating the work done in moving a charge across a potential difference, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Charge (Q) = 5 C (coulombs)
- Potential Difference (V) = 15 V (volts)

2. **Use the Formula for Work Done:**
The work done (W) in moving a charge in an electric field is given by the formula:
\[ W = Q \times V \]
where:
- \( W \) is the work done,
- \( Q \) is the charge,
- \( V \) is the potential difference.

3. **Substitute the Given Values into the Formula:**
\[ W = 5 \, \text{C} \times 15 \, \text{V} \]

4. **Calculate the Work Done:**
\[ W = 75 \, \text{J} \]
Therefore, the amount of work done in moving the charge is 75 joules.

### Final Answer:
The amount of work done in moving a charge of 5 C across two points having a potential difference of 15 Volts is **75 Joules**.

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