Resonance in Series LCR Circuit

IMPORTANT

Resonance in Series LCR Circuit: Overview

This topic covers concepts, such as, Resonance Frequency, Phasor Diagram for Series L-C-R Circuit at Resonance, Power Dissipated at Resonance in Series LCR Circuit & Half Power Points of Frequency etc.

Important Questions on Resonance in Series LCR Circuit

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In the following circuit the readings of AC voltmeters and ammeters will be respectively-

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Half power point frequencies for which the power in the circuit is half of the ___________________ power in the circuit.

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The half power point is commonly used definition for the _____ frequency.

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The relationship between power and frequency is inversely proportional to each other.

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What is half power point frequency?

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The inductance of the oscillatory circuit of the radio station is 10 mH and its capacitance is 0.25 μF. Taking the effect of resistance negligible, wavelength of the broadcasted waves will be (velocity of light =3.0×108 m s-1, π=3.14)

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In LCR series circuit L=4H, C=36 μF and R=16Ω, then bandwidth of resonance is 

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The bandwidth of resonance in the L-C-R  A.C. circuit is proportional to inductance.

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The inductance of the oscillatory circuit of the radio station is 10 mH and its capacitance is 0.25 μF. Taking the effect of resistance negligible, wavelength of the broadcasted waves will be (velocity of light =3.0×108 m s-1, π=3.14)

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Which one is the expression of resonant frequency in a series resonant circuit?

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A parallel L-C circuit comprises of a 5H inductor and 5μF capacitor. The resonant frequency of the circuit in Hz is 

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In the given figure, which point shows the resonant state?
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In a series resonant circuit, having L, C and R as its elements, the resonant current is i. The power dissipated in the circuit at resonance is

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In the RLC circuit in the figure, R=60 Ω, L=3 mH, C=4 mF, and the source of time varying emf has a peak voltage of 120 V. What should the angular frequency of the source, $\omega$, be to produce the largest current in the resistor?

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If value of R is changed, then :-

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The resonance frequency of the tank circuit of an oscillator when L=10π2 mH and C=0.04 μF are connected in parallel is

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In a series resonant circuit, the AC voltage across resistance R, inductor L and capacitor C are 5 V, 10 V and 10 V, respectively. The AC voltage applied to the current will be

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In LCR series circuit, the resonance condition in terms of capacitive reactance (XC) and inductive reactance (XL) is

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The inductance of the oscillatory circuit of the radio station is 10 mH and its capacitance is 0.25 μF. Taking the effect of resistance negligible, wavelength of the broadcasted waves will be (velocity of light =3.0×108 m s-1, π=3.14)

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A 1Ω resistance, 5 mH coil and 1μF capacitor are joined in series. When a variable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is halved, the resonance frequency: