Question Detail
Question
A series R-L-C circuit has R=10 Ω, L=0.5H and C=10µF. 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
For maximum current flow in a series R-L-C circuit, the circuit must be at resonance. At resonance, the inductive reactance (XL) equals the capacitive reactance (XC). The resonant frequency (f₀) is given by the formula: f₀ = 1 / (2π√(LC)).Given L = 0.5 H and C = 10 µF = 10 × 10⁻⁶ F.f₀ = 1 / (2π√(0.5 × 10 × 10⁻⁶)) = 1 / (2π√(5 × 10⁻⁶)) ≈ 71.17 Hz. This is approximately 71 Hz.
Hint
Maximum current in a series RLC circuit occurs at resonance. Use the formula for resonant frequency.