Question Detail
Question
A damped oscillator loses 2% of its energy each cycle. What is the Q-factor for this oscillator?
Correct Answer
Option A is the correct answer.
Detailed Explanation
From Worked Example 36 (page 41), the energy loss per cycle (ΔE/E) is 0.02. The Q-factor is given by the formula Q = 2π / (ΔE/E). So, Q = 2π / 0.02 = 100π ≈ 314.159, which is approximately 314.
Hint
The Q-factor is related to the fractional energy loss per cycle by the formula Q = 2π / (ΔE/E), where ΔE/E is the fractional energy loss per cycle.