Question

A capacitor has a capacitance of $ 5 \, \mu\text{F} $ and a potential difference of $ 10 \, \text{V} $ is applied across it. What is the charge on the capacitor?

• A. \( 5 \times 10^{-6} \, \text{C} \)
• B. \( 5 \times 10^{-5} \, \text{C} \)
• C. \( 5 \times 10^{-7} \, \text{C} \)
• D. \( 5 \times 10^{-8} \, \text{C} \)

Hint:

Remember: The charge on a capacitor is the product of the capacitance and the potential difference across it.

Answer 1

The Correct Option is B

Calculate the Charge on the Capacitor

We are given the following data:

• Capacitance \( C = 5 \, \mu\text{F} = 5 \times 10^{-6} \, \text{F} \)
• Potential difference \( V = 10 \, \text{V} \)

Step 1: Recall the formula for the charge on the capacitor

The formula is: \[ Q = C \cdot V \]

Step 2: Substitute the given values

\[ Q = 5 \times 10^{-6} \, \text{F} \times 10 \, \text{V} = 5 \times 10^{-5} \, \text{C} \]

Conclusion:

The charge on the capacitor is \( 5 \times 10^{-5} \, \text{C} \).

The correct answer is:

Option 2: \( 5 \times 10^{-5} \, \text{C} \)