Answer:
f = 113 Hz
Explanation:
In order to have maximum power transferred from the driving source, as the RMS voltage doesn´t depends on frequency, the current I must be maximum.
This condition is met when the circuit behaves a purely resistive, as the impedance is at a minimum.
Such condition is known as resonance, and it satisfies the following equation:
XL = XC ⇒ ω₀ * L = 1 / ω₀*C, where ω₀, is the angular frequency at resonance.
Solving for ω₀, we have:
ω₀ = 1/√LC = 1/√200*10⁻3 H* 10⁻6F = 707 rad/sec
As we need to find the frequency (in cycles/sec), we need to convert from angular frequency to frequency, as follows:
ω₀ = 2*π*f₀ ⇒ f₀ = ω₀ / 2*π = 707 rad/sec / 2*π rad = 113 Hz
