Final answer:
For an RLC series circuit with R = 100 ohms, C = 25 μF, and L = 0.16 H, the angular frequency at which the current flow is maximum is 500 rad/s. This is calculated using the formula for resonant angular frequency of an RLC circuit: ω_0 = 1/√(LC).
Step-by-step explanation:
To determine the angular frequency at which the current flow is maximum in an RLC series circuit with given values of R, L, and C, we need to find the resonant frequency. Resonance occurs in an RLC circuit when the inductive and capacitive reactances are equal in magnitude but opposite in phase, canceling each other out. In this state, the impedance is minimal, and the circuit behaves as if it's purely resistive.
The resonant angular frequency, ω_0, is given by:
ω_0 = 1/√(LC)
Substituting the given values:
R = 100 ohms
C = 25 μF = 25 × 10^{-6} F
L = 0.16 H
ω_0 = 1/√(0.16 × 25 × 10^{-6}) = 1/√(4 × 10^{-6} H × F) = 1/√(4 × 10^{-6}) √(HF) = 1/2×10^{-3} rad/s
ω_0 = 500 rad/s
The angular frequency of an ac voltage for maximum current flow in the given RLC series circuit is 500 rad/s.