For the given figure, choose the correct option. (a) The r.m.s. current in circuit (B) can never be greater than that in circuit (A) (b) The r.m.s. current in circuit (A) is always equal to that in circuit (B) (c) The r.m.s. current in circuit (B) can be greater than in circuit (A) (d) At resonance, current in (B) is less than that in circuit (A)

Answer: (a). IA = V/R and IB = V/Z with Z = √(R² + (XL - XC)²) ≥ R. So IB ≤ IA always; equal only at resonance. Hence (b) and (c) are false, and (d) is false since at resonance IB = IA. So the answer is (a) the r.m.s. current in (B) can never be greater than that in (A).

For the given figure, choose the correct option. | MHT CET 2024 (4 May, Shift 1)

Q51MHT CET 2024 · 4 MAY · SHIFT 1Medium

Resonance, Bandwidth & Q Factor

For the given figure, choose the correct option.

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Answer: (a)

$I_A = \frac{V}{R}$ and $I_B = \frac{V}{Z}$ with $Z = \sqrt{R^2 + (X_L - X_C)^2} \ge R$ .
So $I_B \le I_A$ always; equal only at resonance.
Hence (b) and (c) are false, and (d) is false since at resonance $I_B = I_A$ .
So the answer is (a) the r.m.s. current in (B) can never be greater than that in (A).

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Resonance, Bandwidth & Q Factor question from MHT CET 2024 (4 May, Shift 1)

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