Welcome to the article Assertion In a series LCR circuit resonance can take place Reason Resonance occurs if the inductive and capacitive reactances are equal and opposite A Both. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
Final answer:
In a series LCR circuit, resonance forms when the inductive reactance equals capacitive reactance. This leads to the formation of a resonant frequency where the amplitude of the current is at its maximum. Such phenomenon is used in practical applications such as radio receivers and mobile phones.
Explanation:
Option a is correct. In a series LCR (Inductor-Capacitor-Resistor) circuit, resonance can indeed take place. This is because at resonance, the inductive reactance equals the capacitive reactance. This energy oscillation between the inductor and the capacitor is much like the transfer of energy in a mass-spring system where energy transfers back and forth from kinetic to potential.
The resonance frequency, denoted as fo, of the circuit, is the frequency at which the amplitude of the current is maximum and the circuit would oscillate if not driven by a voltage source. This fo is the angular frequency at which the impedance (Z) is at a minimum.
In practical applications, devices such as radios and cellphones use resonant circuits. The receiver in a radio, for example, is an RLC circuit that is ideally tuned to a desired frequency, and the device rejects other frequencies. This is accomplished by adjusting the value of the capacitor to match the resonant frequency of the station being tuned into.
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