Test: Resonance in LCR Circuit - JEE MCQ

# Test: Resonance in LCR Circuit - JEE MCQ

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## 10 Questions MCQ Test - Test: Resonance in LCR Circuit

Test: Resonance in LCR Circuit for JEE 2024 is part of JEE preparation. The Test: Resonance in LCR Circuit questions and answers have been prepared according to the JEE exam syllabus.The Test: Resonance in LCR Circuit MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Resonance in LCR Circuit below.
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Test: Resonance in LCR Circuit - Question 1

### A pure resistance R, pure capacitance C and pure inductance L are connected in series and the impedance of the circuit at resonance is Z0. If they are connected in parallel to each other, the maximum impedance at resonance will be:​

Detailed Solution for Test: Resonance in LCR Circuit - Question 1

If series LCR circuit is present then z={R2+(xl-xc)2}1/2
if resonance is present then XC=CL or VC=CL then Z= Zo
if LCR circuit is in parallel form then in which circuit resonance is also present firstly 1/Z ={(1/R)2+ ((1/xc) –(1/xl))2}1/2 and in resonance conditions XC=CL according to this Z= Zo then option C is the correct answer

Test: Resonance in LCR Circuit - Question 2

### At resonance the impedance of RLC circuit is

Detailed Solution for Test: Resonance in LCR Circuit - Question 2

Resonance is a condition in LCR circuit where the inductive reactance ( XL) and capacitive reactance (Xc) is equal.
Impedance at resonance is equal to the Resistance of the resistor because the other two cancel themselves off according to the below formula -
Z2=R2+(XL2-Xc2)
As XL = Xc ,
Z = R

Test: Resonance in LCR Circuit - Question 3

### Ratio  is equal to

Detailed Solution for Test: Resonance in LCR Circuit - Question 3

frequency-to-bandwidth ratio of the resonator:
Q=fr/△f= ωr/△ω
where fr is the resonant frequency, Δf is the resonance width or full width at half maximum (FWHM) i.e. the bandwidth over which the power of vibration is greater than half the power at the resonant frequency, ωr = 2πfr is the angular resonant frequency, and Δω is the angular half-power bandwidth.

Test: Resonance in LCR Circuit - Question 4

When the oscillations produced are of constant amplitude. The are called

Detailed Solution for Test: Resonance in LCR Circuit - Question 4

If the losses incurred in the electrical system could be compensated, the amplitude of oscillation would remain constant and as such the oscillation would continue indefinitely against both external disturbances and changes in the initial conditions. This type of oscillation is called undamped oscillation.

Test: Resonance in LCR Circuit - Question 5

Find the series resonance frequency when L = 0.09 H, C = 25 F​

Detailed Solution for Test: Resonance in LCR Circuit - Question 5

ω=1/√LC
ω=1√0.09x25
ω=0.666
ω=2πf
f=0.666/(2 x 3.14)
f=0.106 s-1

Test: Resonance in LCR Circuit - Question 6

Measure of sharpness in an ac circuit is given by

Detailed Solution for Test: Resonance in LCR Circuit - Question 6

Explanation:

• Quality Factor: The measure of sharpness in an AC circuit is given by the Quality Factor. It is a dimensionless number that characterizes the lossiness of a resonator or filter circuit.

•

Test: Resonance in LCR Circuit - Question 7

In a series RCL circuit at resonance the applied ac voltage is 220 V. The potential drop across the inductance is 110V, what is the potential drop across the capacitor?​

Detailed Solution for Test: Resonance in LCR Circuit - Question 7

At resonance, the potential drop across the capacitance is equal and opposite to that of inductance i.e. 110V.

Test: Resonance in LCR Circuit - Question 8

Acceptor circuit is

Detailed Solution for Test: Resonance in LCR Circuit - Question 8

The series resonance circuit is known as an acceptor circuit. The impedance of the acceptor circuit is minimum but the voltage can be magnified.
The Acceptor circuit provides the maximum response to currents at its resonant frequency.
Series resonance circuit is known as acceptor circuit because the impedance at the resonance is at its minimum so as to accept the current easily such that the frequency of the accepted current is equal to the resonant frequency.

Test: Resonance in LCR Circuit - Question 9

An ac circuit contains a resistance R, capacitance C and inductance L in series with a source of emf ε = ε0sin (ωt – Ø). The current through the circuit is maximum when:​

Detailed Solution for Test: Resonance in LCR Circuit - Question 9

Given, emf = 0sin(t) At resonance frequency, we have: f = 1/(2π√(LC)) 0sin(t) = Vm sin(2πft) Where Vm is the maximum voltage of the source and f is the frequency of the source. Comparing the two equations, we get: f = 1/(2π√(LC)) Therefore, the maximum current in the circuit is obtained when: L = 1/ C Hence, option 'D' is the correct answer.

Test: Resonance in LCR Circuit - Question 10

Resonant circuits are used in tuning of

Detailed Solution for Test: Resonance in LCR Circuit - Question 10

The most common application of tank circuits is tuning radio transmitters and receivers. For example, when we tune a radio to a particular station, the LC circuits are set at resonance for that particular carrier frequency. A parallel resonant circuit can be used as load impedance in output circuits of RF amplifiers.

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