Question Detail
Question
A 10 MΩ resistor is connected in series with a 1.0 µF uncharged capacitor and a battery. What is the time constant of this circuit?
Correct Answer
Option C is the correct answer.
Detailed Explanation
The time constant τ is calculated as τ = RC. Given R = 10 MΩ = 10 × 10⁶ Ω and C = 1.0 µF = 1.0 × 10⁻⁶ F, then τ = (10 × 10⁶ Ω) × (1.0 × 10⁻⁶ F) = 10 seconds. This calculation is also shown on page 26.
Hint
Remember to convert Mega-ohms (MΩ) and micro-farads (µF) to their base SI units (ohms and farads) before calculation.