How much work is done in moving a charge of 5C across two points having a potential difference of 16V?

Options

A. 65J
B. 45J
C. 40J
D. 80J

Answer

To find the work done in moving a charge across two points with a potential difference, we can use the formula:

\[ W = V \times Q \]

where:
- \( W \) is the work done (in Joules),
- \( V \) is the potential difference (in Volts),
- \( Q \) is the charge (in Coulombs).

### Step-by-step Solution:

1. **Identify the given values:**
- Charge (\( Q \)) = 5 C
- Potential difference (\( V \)) = 16 V

2. **Use the formula for work done:**
\[ W = V \times Q \]

3. **Substitute the known values into the formula:**
\[ W = 16 \, \text{V} \times 5 \, \text{C} \]

4. **Calculate the work done:**
\[ W = 80 \, \text{J} \]

5. **Conclusion:**
The work done in moving the charge is \( 80 \, \text{J} \).