Final answer:
The expression w(0) = 1/sqrt(LpC) is for a series resonant circuit, which becomes purely resistive at the resonant frequency, allowing for efficient power transfer.
Step-by-step explanation:
The formula w(0) = 1/sqrt(LpC) is used to determine the resonant angular frequency of an electrical circuit. Specifically, this formula pertains to the resonance condition of a series resonant circuit, where L represents the inductance, C represents the capacitance, and w(0) is the angular frequency at resonance. At this frequency, the impedance of a series RLC circuit is purely resistive, and the circuit can efficiently transfer power at the resonant frequency. It's a fundamental concept in the design and understanding of various electronic devices, such as radios and metal detectors, which utilize resonant circuits to select specific frequency ranges.