If 50 joule of work must be done to move an electric charge of 2 C from a point, where potential is V volt, the value of V is

Options

A. 5 V
B. `- 15 V `
C. `+ 25 `V
D. `+ 10` V

Answer

To find the electric potential \( V \) at a point where 50 joules of work is done to move a charge of 2 coulombs, we can use the formula relating work done, charge, and electric potential:

### Step-by-step Solution:

1. **Understanding the relationship**: The work done \( W \) in moving a charge \( Q \) through a potential difference \( V \) is given by the formula:
\[ W = Q \times V \]
where:
- \( W \) is the work done (in joules),
- \( Q \) is the charge (in coulombs),
- \( V \) is the electric potential (in volts).

2. **Substituting the known values**: We know from the problem that:
- \( W = 50 \) joules,
- \( Q = 2 \) coulombs.

Substituting these values into the equation gives:
\[ 50 = 2 \times V \]

3. **Solving for \( V \)**: To find \( V \), we can rearrange the equation:
\[ V = \frac{W}{Q} \]
Substituting the known values:
\[ V = \frac{50}{2} \]

4. **Calculating the value**: Performing the division:
\[ V = 25 \text{ volts} \]

5. **Conclusion**: Therefore, the value of \( V \) is 25 volts.

### Final Answer:
The value of \( V \) is 25 volts.

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