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 use the formula:

\[ W = Q \times V \]

Where:
- \( W \) is the work done (in joules),
- \( Q \) is the charge (in coulombs),
- \( V \) is the potential difference (in volts).

### Step-by-Step Solution:

1. **Identify the given values**:
- Charge \( Q = 5 \, \text{C} \)
- Potential difference \( V = 15 \, \text{V} \)

2. **Substitute the values into the formula**:
\[ W = 5 \, \text{C} \times 15 \, \text{V} \]

3. **Perform the multiplication**:
\[ W = 75 \, \text{J} \]

4. **Conclusion**:
The amount of work done in moving the charge is \( 75 \, \text{J} \).

### Final Answer:
The work done is \( 75 \, \text{J} \).

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