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Assertion : Resonance is exhibited by a ...

Assertion : Resonance is exhibited by a circuit only if both L and C are present in the circuit.
Reason : Only then the voltage across L and C cancel each other, both being out of phase.

A

If both assertion ans reason are true ans reaason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion istrue but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided and determine their validity. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "Resonance is exhibited by a circuit only if both L (inductor) and C (capacitor) are present in the circuit." - This is true because resonance occurs in an RLC circuit (which includes a resistor, inductor, and capacitor). In such a circuit, the inductive reactance (XL) and capacitive reactance (XC) can cancel each other out at a specific frequency (the resonant frequency). 2. **Understanding the Reason**: - The reason states that "Only then the voltage across L and C cancel each other, both being out of phase." - This is also true. In an RLC circuit at resonance, the voltage across the inductor (VL) and the voltage across the capacitor (VC) are indeed out of phase by 180 degrees. This means that when one voltage is at its maximum, the other is at its minimum, leading to cancellation of the voltages. 3. **Conclusion**: - Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that both statements are valid. - Therefore, the correct answer is that both the assertion and reason are true, and the reason is the correct explanation of the assertion. ### Final Answer: Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
To solve the question, we need to analyze both the assertion and the reason provided and determine their validity. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "Resonance is exhibited by a circuit only if both L (inductor) and C (capacitor) are present in the circuit." - This is true because resonance occurs in an RLC circuit (which includes a resistor, inductor, and capacitor). In such a circuit, the inductive reactance (XL) and capacitive reactance (XC) can cancel each other out at a specific frequency (the resonant frequency). ...
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