For the given figures, choose the correct options: (a) The rms current in circuit (b) can be larger than that in (a) (b) The rms current in figure (a) is always equal to that in figure (b) (c) The rms current in circuit (b) can never be larger than that in (a) (d) At resonance, current in (b) is less than that in (a)

Answer: (c). Circuit (a): Za = R = 40 Ω. Circuit (b): Zb = √(R² + (XL - XC)²) ≥ R, equal only at resonance. Same 220 V source, so Ib ≤ Ia always; the current in (b) can never exceed that in (a). (At 50 Hz, XC ≈ 6366 Ω, so Ib is much smaller.) So the answer is (c).

For the given figures, choose the correct options: | JEE Main 2023 (29 Jan, Shift 2)

Q70JEE Main 2023 · 29 JAN · SHIFT 2Medium

Resonance, Bandwidth & Q Factor

For the given figures, choose the correct options:

Show answer and solution

Answer: (c)

Circuit (a): $Z_a = R = 40\ \Omega$ .
Circuit (b): $Z_b = \sqrt{R^2 + (X_L - X_C)^2} \ge R$ , equal only at resonance.
Same 220 V source, so $I_b \le I_a$ always; the current in (b) can never exceed that in (a). (At 50 Hz, $X_C \approx 6366\ \Omega$ , so $I_b$ is much smaller.)
So the answer is (c).

Report a mistake

Resonance, Bandwidth & Q Factor question from JEE Main 2023 (29 Jan, Shift 2)

More questions on Resonance, Bandwidth & Q Factor