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What is meant by resonance in an LCR circuit?

Important Questions on Electromagnetic Induction and Alternating Current

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A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 μF is used in the resonant circuit. The self-inductance of coil necessary for resonance is x×10-8 H. Find x
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In the above circuit, C= 3 2 μF, R 2 =20 Ω,L= 3 10 H and R 1 =10 Ω. Current in L-R1 path is I1 and in C-R2 path it is I 2 . The voltage of AC source is given by, V=200 2 sin( 100t ) volts. The phase difference between I1 and I2 is:

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Find the peak current and resonant frequency of the following circuit (as shown in figure).

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EASY
In an LCR series circuit (of inductance L, capacitance C and resistance R), the impedance is minimum when the angular frequency of the source is given by
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In the given circuit, the reading of voltmeters V1 and V2 are 300 volt each. The reading of the voltmeter V3 and ammeter A are, respectively.

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EASY
A resistance of 10 Ω is joined to an inductance of 0.5 H and a capacitance of 20.24×10-6 F. When the circuit is connected to the mains supply of 200 V and frequency 50 cycle per second, maximum current flows in the circuit. The value of current is
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A parallel plate capacitor in series with a resistance of 100 Ω, an inductor of 20 mH and an AC voltage source of variable frequency shows resonance at a frequency of 1250πHz. If this capacitor is charged by a DC voltage source to a voltage 25 V, what amount of charge will be stored in each plate of the capacitor?

EASY

What will be the reading in the voltmeter and ammeter of the circuit shown?

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EASY
The resonance frequency of L-C-R series AC circuit is f0. Now the capacitance is made 4 times, then the new resonance frequency will become
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 A resonant AC circuit contains a capacitor of capacitance 10-6 F and an inductor of 10-4 H. The frequency of electrical oscillations will be :- 
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A series LCR circuit of R=5 Ω, L=20 mH and C=0.5 μF is connected across an AC supply of 250 V, having variable frequency. The power dissipated at resonance condition is ________×102 W.
HARD
A 100Ω resistance, a 0.1μF capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.
EASY
An LCR series circuit has an inductance of 100 mH, connected to a 100 μF capacitor and the resistive load is 120 Ω, which is connected to an A.C. source of 60 Hz. The resonant frequency of the circuit is:
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Match List-I with List-II.

  List - I   List - II
(a) ωL>1ωC (i) Current is in phase with emf
(b) ωL=1ωC (ii) Current lags behind the applied emf
(c) ωL<1ωC (iii) Maximum current occurs
(d) Resonant frequency (iv) Current leads the emf

Choose the correct answer from the options given below.

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A resonant frequency of a circuit is f. If the capacitance is made four times the initial value, then the resonant frequency will become
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A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R=3 , an inductor of inductive reactance XL=250π Ω and an unknown capacitor. The value of capacitance to maximise the average power should be:
take π2=10
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An alternating current is flowing through a series L-C-R circuit. It is found that the current reaches a value of 1 mA at both 200 Hz and 800 Hz frequency. What is the resonance frequency of the circuit?
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A parallel L-C circuit comprises of a 5H inductor and 5 μF capacitor. Calculate the resonant frequency of the circuit.
EASY

The readings of ammeter and voltmeter in the following circuit are respectively

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