The work done in moving a charge from one point to the other is 20J. If the potential difference between the points is 10V, the charge is:

Options

A. 4.0C
B. 2.0C
C. 0.5C
D. 1.0C

Answer

To solve the problem, we need to find the charge (Q) using the relationship between work done (W), potential difference (V), and charge (Q). The formula that relates these quantities is:

\[ V = \frac{W}{Q} \]

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

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Work done (W) = 20 J
- Potential difference (V) = 10 V

2. **Rearrange the Formula**:
- We need to find the charge (Q). Rearranging the formula gives us:
\[ Q = \frac{W}{V} \]

3. **Substitute the Given Values**:
- Now, substitute the values of W and V into the rearranged formula:
\[ Q = \frac{20 \text{ J}}{10 \text{ V}} \]

4. **Calculate the Charge**:
- Perform the division:
\[ Q = 2 \text{ C} \]

5. **Conclusion**:
- The charge is 2 coulombs.

### Final Answer:
The charge is **2 C** (coulombs).