To double the resonant frequency of a series LC circuit keeping L fixed, the capacitance must be changed to:
Q111.AI-generated practiceSingle-correct MCQHard
A series LCR circuit has R = 10 Ω and L = 0.1 H. The width of its resonance curve, measured as the band of angular frequencies Δω = ω2 − ω1 between half-power points, is:
Q112.AI-generated practiceSingle-correct MCQEasy
The resonance of a series LCR circuit becomes sharper when:
In an ideal LC circuit, at the instant when the charge on the capacitor is maximum, the current in the circuit is:
Q114.AI-generated practiceSingle-correct MCQHard
A radio receiver uses an LC circuit with L = 1 μH. The capacitance needed to tune it to 1 MHz is about:
Q115.AI-generated practiceNumerical valueEasy
A series LCR circuit has R = 6 Ω, XL = 12 Ω and XC = 4 Ω. Find its impedance in ohm.
Q116.AI-generated practiceNumerical valueMedium
A series LCR circuit has L = 0.5 H and C = 2 μF. Find its resonant angular frequency in rad/s.
Q117.AI-generated practiceNumerical valueMedium
A series LCR circuit with R = 20 Ω is connected to a 220 V (rms) supply whose frequency equals the resonant frequency. Find the rms current in ampere.
Q118.AI-generated practiceNumerical valueHard
A series LCR circuit has R = 10 Ω, L = 1 H and C = 1 μF. Find its quality factor.
Q119.AI-generated practiceAssertion–ReasonMedium
Assertion (A): In a series LCR circuit at resonance, the current is in phase with the applied voltage. Reason (R): At resonance, the current in a series LCR circuit is maximum.
Q120.AI-generated practiceAssertion–ReasonHard
Assertion (A): At resonance, the voltage across the inductor in a series LCR circuit can never exceed the supply voltage. Reason (R): At resonance, the voltages across the inductor and the capacitor are equal in magnitude and opposite in phase.