Find the value of kinetic energy if charge accumulated is 13 C when passed with 7V potential difference?

Options

A. 91 J
B. 52 J
C. 22 J
D. 32 J

Explanation

To find the kinetic energy (KE) gained by a charge when it is accelerated through a potential difference, we can use the formula:

\[ KE = Q \times V \]

where:
- \( KE \) is the kinetic energy in joules,
- \( Q \) is the charge in coulombs,
- \( V \) is the potential difference in volts.

### Step-by-Step Solution:

1. **Identify the given values:**
- Charge (\( Q \)) = 13 C
- Potential Difference (\( V \)) = 7 V

2. **Substitute the values into the formula:**
\[ KE = Q \times V = 13 \, \text{C} \times 7 \, \text{V} \]

3. **Calculate the kinetic energy:**
\[ KE = 13 \times 7 = 91 \, \text{J} \]

4. **Conclusion:**
The kinetic energy gained by the charge is \( 91 \, \text{J} \).

### Final Answer:
The value of kinetic energy is \( 91 \, \text{J} \).

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