Welcome to the article Assertion In a series LCR circuit resonance occurs at one frequency only Reason At resonance the inductive reactance is equal and opposite to the capacitive. 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:
Resonance in a series LCR circuit occurs at a single frequency where the inductive reactance equals and cancels the capacitive reactance, resulting in minimum impedance. This is why the resonant frequency is significant for applications like radio tuning.
Therefore, the correct answer to the question is: B. A,R are true and R is the correct reason for A
Explanation:
In a series LCR circuit, resonance occurs when the frequency of the circuit causes the inductive reactance (XL) and the capacitive reactance (XC) to be equal in magnitude but opposite in phase, thereby cancelling each other out. This results in impedance (Z) being at its minimum, which is equal to the resistance (R) of the circuit. Only at the resonant frequency does this condition of XL = XC occur, and hence, the resonance in a series LCR circuit happens at a single frequency. This phenomenon is exploited in various applications such as radio tuners, where resonant circuits are adjusted to select desired frequencies and reject others.
Therefore, the correct answer to the student's question is B: the assertion and the reason are true, and the reason is the correct explanation for the assertion.
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Rewritten by : Brahmana