(A) In an $LCR$ series circuit,the given values are:$L = 10 \ H$,$C = 40 \ \mu F$,$R = 60 \ \Omega$,and $V = 240 \ V$.At resonance,the inductive react

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(A) In an $LCR$ series circuit,the given values are:$L = 10 \ H$,$C = 40 \ \mu F$,$R = 60 \ \Omega$,and $V = 240 \ V$.At resonance,the inductive reactance $(X_L)$ equals the capacitive reactance $(X_C)$,which means the net impedance $(Z)$ of the circuit is equal to the resistance $(R)$.$Z = R = 60 \ \Omega$.The current $(I)$ at resonance is given by Ohm's law:$I = \frac{V}{Z} = \frac{240 \ V}{60 \ \Omega} = 4 \ A$.

Class 12 Physics Alternating Current Half Power Frequency , Quality Factor ,Resonance in AC Circuit

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$A$ series $LCR$ circuit is shown in the figure. Where the inductance of $10 \ H$,capacitance $40 \ \mu F$,and resistance $60 \ \Omega$ are connected to a variable frequency $240 \ V$ source. The current at resonating frequency is (in $A$)

AP EAMCET 2024 All AP EAMCET

A
$4$
B
$2$
C
$5.4$
D
$5.8$

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Class 12

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Alternating Current

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Half Power Frequency , Quality Factor ,Resonance in AC Circuit

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$A$ series combination of a resistor of resistance $100\,\Omega$,an inductor of inductance $1\,H$,and a capacitor of capacitance $6.25\,\mu F$ is connected to an $AC$ source. The quality factor of the circuit will be $.............$.

MediumJEE MAIN 2023

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In a series $RLC$ circuit,the resonance frequency is $12 \text{ kHz}$. If $R = 5 \text{ } \Omega$ and $X_L$ at resonance is $300 \text{ } \Omega$,the half-power frequencies will be:

Difficult

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In which of the following $AC$ circuit,we get the value of power factor $1$ at resonance condition?

MediumGUJCET 2025

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In a series $LCR$ circuit,$C = 2\,\mu F$,$L = 1\,mH$,and $R = 10\,\Omega$. When the current in the circuit is maximum,what is the ratio of the energy stored in the capacitor to the energy stored in the inductor?

Medium

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$A$ resistor $R$,an inductor $L$,and a capacitor $C$ are connected in series to an oscillator of frequency $n$. If the resonant frequency is $n_r$,then the current lags behind the voltage when:

Medium

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$A$ series $LCR$ circuit is shown in the figure. Where the inductance of $10 \ H$,capacitance $40 \ \mu F$,and resistance $60 \ \Omega$ are connected to a variable frequency $240 \ V$ source. The current at resonating frequency is (in $A$)

Similar Questions

$A$ series combination of a resistor of resistance $100\,\Omega$,an inductor of inductance $1\,H$,and a capacitor of capacitance $6.25\,\mu F$ is connected to an $AC$ source. The quality factor of the circuit will be $.............$.

In a series $RLC$ circuit,the resonance frequency is $12 \text{ kHz}$. If $R = 5 \text{ } \Omega$ and $X_L$ at resonance is $300 \text{ } \Omega$,the half-power frequencies will be:

In which of the following $AC$ circuit,we get the value of power factor $1$ at resonance condition?

In a series $LCR$ circuit,$C = 2\,\mu F$,$L = 1\,mH$,and $R = 10\,\Omega$. When the current in the circuit is maximum,what is the ratio of the energy stored in the capacitor to the energy stored in the inductor?

$A$ resistor $R$,an inductor $L$,and a capacitor $C$ are connected in series to an oscillator of frequency $n$. If the resonant frequency is $n_r$,then the current lags behind the voltage when:

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