A : The chief characteristic of series resonant circuit is voltage magnification.
R : At resonance the voltage drop across inductance (or capacitance) is Q times the applied voltage.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion and Reason are false statement, then mark (4)

Answer

To analyze the given statements regarding a series resonant circuit, we will break down the assertion (A) and reason (R) step by step.

### Step-by-Step Solution:

**Step 1: Understanding the Assertion (A)**
The assertion states that "The chief characteristic of a series resonant circuit is voltage magnification."
- In a series resonant circuit, at resonance, the impedance is minimized, and the circuit allows maximum current to flow.
- This results in a significant increase in the voltage across the inductor (L) and capacitor (C) compared to the applied voltage (V).
- Therefore, the assertion is correct as voltage magnification is indeed a characteristic of series resonant circuits.

**Step 2: Understanding the Reason (R)**
The reason states that "At resonance, the voltage drop across inductance (or capacitance) is Q times the applied voltage."
- The quality factor (Q) is defined as the ratio of the reactance (either inductive or capacitive) to the resistance in the circuit:
\[ Q = \frac{X_L}{R} \quad \text{or} \quad Q = \frac{X_C}{R} \]
- At resonance, the voltage across the inductor (V_L) or the capacitor (V_C) can be expressed as:
\[ V_L = Q \cdot V_R \quad \text{and} \quad V_C = Q \cdot V_R \]
where \( V_R \) is the voltage across the resistor.
- Since the voltage across the inductor or capacitor can be Q times the voltage across the resistor, the reason is also correct.

**Step 3: Conclusion**
Both the assertion (A) and the reason (R) are correct, and the reason correctly explains the assertion.

### Final Answer:
Both A and R are true, and R is the correct explanation of A.

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