Answer :
Final answer:
A series-resonant circuit at a resonant frequency above the generator frequency acts as a circuit with higher impedance, selectively allowing frequencies through and thus acting as a high or low pass filter.
Explanation:
When a series-resonant circuit is resonant at a frequency above the generator frequency, it behaves as if it has higher impedance for the frequencies that are not at resonance. Specifically, at resonance, an RLC circuit is purely resistive, and both the applied electromotive force (emf) and the current are in phase. This means that at the resonant frequency, the average power transferred from an AC generator to the RLC circuit is at a maximum since the impedance is minimal and equals the resistance of the circuit. However, at frequencies above or below the resonant frequency, the impedance increases due to the reactive components (capacitance and inductance), and the circuit will not resonate as effectively. As a consequence, the circuit acts as a high pass filter or low pass filter depending on whether the generator frequency is below or above the resonant frequency, selectively allowing signals through based on these characteristics. This selectivity is crucial in applications such as radio receivers and cell phones where it is necessary to tune into specific frequencies.
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