Question

A \( 10\,\mu\text{F} \) capacitance charged to \( 10\,\text{V} \) has a stored charge equal to:

• A. $10\ \mu\text{C}$
• B. $100\ \mu\text{C}$
• C. $200\ \mu\text{C}$
• D. $100\ \text{C}$

Hint:

Always remember: \textbf{Q = C × V} for capacitors. Keep units consistent — convert $\mu$F to F and then multiply by volts.

Answer 1

The Correct Option is B

To find the stored charge in a capacitor, we use the basic formula:
\[ Q = C \times V \] Where:
Q = charge in coulombs (C)
C = capacitance in farads (F)
V = voltage in volts (V)

Given:
\( C = 10\,\mu\text{F} = 10 \times 10^{-6}\,\text{F} \)
\( V = 10\,\text{V} \)

Substituting values:
\[ Q = 10 \times 10^{-6} \times 10 = 100 \times 10^{-6}\,\text{C} = 100\,\mu\text{C} \]
Hence, the stored charge is 100 μC.