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
Maximum current flow in a series R-L-C 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 μF = 10 × 10⁻⁶ F.f = 1 / (2π√(0.5 H × 10 × 10⁻⁶ F))f = 1 / (2π√(5 × 10⁻⁶))f = 1 / (2π × 2.236 × 10⁻³)f ≈ 1 / 0.01405 f ≈ 71.17 Hz. The closest option is 71Hz.
Hint
Recall the formula for the resonant frequency of a series RLC circuit. Ensure correct unit conversion for capacitance.