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: Apply the capacitor charge equation
The charge \( Q \) on a capacitor is calculated using:\[Q = C \times V\]
with:- \( C \) representing the capacitance,
- \( V \) representing the voltage.
Step 2: Input known values

Provided:- Capacitance \( C = 10 \, \mu\text{F} = 10 \times 10^{-6} \, \text{F} \),
- Voltage \( V = 100 \, \text{V} \).
Insert these into the equation:
\[Q = 10 \times 10^{-6} \times 100 = 1 \times 10^{-3} = 0.1 \, \text{C}\]Result: The charge on the capacitor is \( 0.1 \, \text{C} \). This corresponds to option (4).