___ is the amount of work done in carrying a change of 4 C across two points having a potential difference of 18V.

Options

A. 24J
B. 72J
C. 7.2J
D. 4.5J

Answer

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

\[ \text{Work Done} (W) = \text{Potential Difference} (V) \times \text{Charge} (Q) \]

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Charge (Q) = 4 Coulombs
- Potential Difference (V) = 18 Volts

2. **Write the Formula**:
- The formula for work done is:
\[ W = V \times Q \]

3. **Substitute the Values into the Formula**:
- Substitute the values of V and Q into the formula:
\[ W = 18 \, \text{V} \times 4 \, \text{C} \]

4. **Calculate the Work Done**:
- Perform the multiplication:
\[ W = 72 \, \text{Joules} \]

5. **Conclusion**:
- The amount of work done in carrying a charge of 4 Coulombs across a potential difference of 18 Volts is 72 Joules.

### Final Answer:
The work done is **72 Joules**.

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