Question

12) Assertion (A): In series L-CR resonance circuit, the impedance is equal to the oihmic

Resistance (R) Reason (R): At resonance the inductive reactance exceeds the capacitive reactance.​

Answer 1

Answer:

The assertion(A) is true but the reason(R) is incorrect.

Explanation:

• We know that resonance condition is achieved when inductive reactance is equal to capacitive reactance, i.e., $X_L=X_C$.
• In any LCR circuit, the impedance is calculated as $Z = \sqrt{R^2+(X_L-XC)^2}$.
• At resonance, we have $X_L=X_C$. Substituting this in the impedance formula, we get $Z = \sqrt{R^2} = R$.
• Hence, the assertion that in series LCR resonance circuit, the impedance is equal to ohmic resistance is true.
• We also saw that at resonance, inductive reactance has to be equal to the capacitive reactance.
• Therefore the reason that at resonance, the inductive reactance exceeds the capacitive reactance is false.

Therefore, the given assertion 'in series LCR resonance circuit, the impedance is equal to ohmic region' is true but the reason 'at resonance, the inductive reactance exceeds the capacitive reactance' is false.

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Answer 2

Answer:

In Assertion (A) of a series L-CR resonance circuit, the impedance is equal to the oihmic is True and Resistance (R) Reason (R): At resonance the inductive reactance exceeds the capacitive reactance is False.

Explanation:

• An LCR circuit is defined as the circuit that has three elements. They are known as Inductor, Resistor and capacitor.
• These elements are seen to be connected in a series or parallel.
• We know that, the resonance of the impedance it will be equal to resonance.
• The resonance occurs in LCR series circuits when the value of the inductive and the capacities of a resonance are equal to the magnitude of the phase difference at 180°.

• From the above statement, we know that,

• For the Assertion of series L-CR the resonance circuit the impedance will be equal to the ohmic resistance (R ) is true.

In the Reason ( R ),

Given that:

At the resonance the inductive reactance will exceed the capacitive reactance is found to be false because, when the inductive reactance will only have the a capacitive as an reactance.

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