A chrage of `5 C` is given a displacement of `0.5 m`. The work done in the process is `10 J`. The potetnial difference between the two points will be

Options

A. 2 V
B. 0.25 V
C. 1 V
D. 25 V

Answer

To find the potential difference between two points when a charge is displaced, we can use the relationship between work done, charge, and potential difference. Here's the step-by-step solution:

### Step 1: Understand the relationship between work, charge, and potential difference
The work done (W) on a charge (Q) when it moves 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 potential difference (in volts)

### Step 2: Rearranging the formula to find potential difference
We can rearrange the formula to solve for the potential difference \( V \):
\[ V = \frac{W}{Q} \]

### Step 3: Substitute the known values
From the question, we know:
- \( W = 10 \, \text{J} \)
- \( Q = 5 \, \text{C} \)

Substituting these values into the equation:
\[ V = \frac{10 \, \text{J}}{5 \, \text{C}} \]

### Step 4: Calculate the potential difference
Now, perform the calculation:
\[ V = \frac{10}{5} = 2 \, \text{V} \]

### Conclusion
The potential difference between the two points is \( 2 \, \text{V} \).

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