In an LCR series circuit, at resonance, (a) the impedance is maximum (b) the current is minimum (c) the current leads the voltage by π/2 (d) the current and voltage are in phase

Answer: (d). At resonance XL = XC, so Z = R is minimum and current is maximum. tan φ = (XL - XC)/(R) = 0 ⇒ φ = 0 So the answer is (d) the current and voltage are in phase.

In an LCR series circuit, at resonance, | MHT CET 2026 (15 Apr, Shift 2)

Q11MHT CET 2026 · 15 APR · SHIFT 2Easy

Resonance, Bandwidth & Q Factor

In an LCR series circuit, at resonance,

Show answer and solution

Answer: (d)

At resonance $X_L = X_C$ , so $Z = R$ is minimum and current is maximum.
$\tan\phi = \dfrac{X_L - X_C}{R} = 0 \Rightarrow \phi = 0$
So the answer is (d) the current and voltage are in phase.

Report a mistake

More questions on Resonance, Bandwidth & Q Factor

An inductor of 0.5 mH, a capacitor of 20 μ F and resistance 20 Ω are connected in series…MHT CET 2026 (13 Apr, Shift 2)
Which graph shows the correct variation of r.m.s. current ' i ' with frequency ' f ' of…MHT CET 2026 (20 Apr, Shift 1)
With gradual increase in frequency of an a.c. supply, the impedance of an LCR series…MHT CET 2026 (16 Apr, Shift 1)
In the circuit shown, the ratio of the quality factor and the band width is (Given: band…MHT CET 2026 (13 Apr, Shift 2)
A resistor of 200 Ω, an inductor of self inductance ((2)/(π²)) H and a capacitor of…MHT CET 2026 (20 May, Shift 1)
A resistor of 100 Ω, inductor of self inductance ((4)/(π²)) H and a capacitor of unknown…MHT CET 2026 (13 Apr, Shift 1)
Using a variable frequency a.c. voltage source the maximum current measured in the given…JEE Main 2026 (23 Jan, Shift 1)
In a discharging series L-C-R circuit, C = 2 μ F, L = 1 mH and R = 10 Ω. The ratio of the…MHT CET 2026 (19 May, Shift 1)

Resonance, Bandwidth & Q Factor question from MHT CET 2026 (15 Apr, Shift 2)

More questions on Resonance, Bandwidth & Q Factor