Question

A capacitor is charged with a voltage of 100 V. If the capacitance of the capacitor is \( 10 \, \mu\text{F} \), what is the charge on the capacitor?

• A. \( 1 \, \text{C} \)
• B. \( 10 \, \text{C} \)
• C. \( 100 \, \text{C} \)
• D. \( 0.1 \, \text{C} \)

Hint:

Remember: The charge on a capacitor is given by \( Q = C \times V \).

Answer 1

The Correct Option is D

Step 1: Use the formula for charge on a capacitor
The charge \( Q \) on a capacitor is given by: \[ Q = C \times V \]
where:
- \( C \) is the capacitance of the capacitor,
- \( V \) is the voltage across the capacitor.
Step 2: Substitute the given values

Given: - Capacitance \( C = 10 \, \mu\text{F} = 10 \times 10^{-6} \, \text{F} \),
- Voltage \( V = 100 \, \text{V} \).
Substitute these values into the formula:
\[ Q = 10 \times 10^{-6} \times 100 = 1 \times 10^{-3} = 0.1 \, \text{C} \] Answer: Therefore, the charge on the capacitor is \( 0.1 \, \text{C} \). So, the correct answer is option (4).