Question Detail
Question
A series R-L-C circuit has R=10 Ω, L=0.5H and C=10μC. Calculate the frequency for maximum current flow in this circuit if it is connected to a source 100v.
Correct Answer
Option D is the correct answer.
Detailed Explanation
Maximum current flow in a series RLC circuit occurs at resonance. The resonant frequency (f) is given by the formula f = 1 / (2π√(LC)). Given L = 0.5 H and C = 10 μC = 10 × 10⁻⁶ F, we calculate f = 1 / (2π√(0.5 × 10 × 10⁻⁶)) = 1 / (2π√(5 × 10⁻⁶)) = 1 / (2π × 2.236 × 10⁻³) ≈ 71.17 Hz. The closest option is 71Hz.
Hint
Maximum current in a series RLC circuit happens at resonance. Remember the formula for resonant frequency.