The work done (in Joule) in carrying a charge of `x` coulomb between two points having a potential difference of `y` volt is

Options

A. `(x)/(y)`
B. `(x^(2))/(y)`
C. `(y)/(x)`
D. xy

Answer

To find the work done in carrying a charge of `x` coulombs between two points with a potential difference of `y` volts, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Electric Potential and Work Done**:
- The work done (W) in moving a charge (Q) in an electric field is related to the electric potential difference (V) between two points. The formula is given by:
\[ W = Q \cdot V \]

2. **Identify the Variables**:
- In this case, the charge being moved is `x` coulombs and the potential difference between the two points is `y` volts.

3. **Substitute the Values into the Formula**:
- According to the formula for work done, we can substitute the values of charge and potential difference:
\[ W = x \cdot y \]

4. **Final Expression for Work Done**:
- Therefore, the work done in carrying a charge of `x` coulombs between two points having a potential difference of `y` volts is:
\[ W = xy \text{ Joules} \]