In a series RLC circuit (AC):L = 10 , mHC = 0 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) At resonance,the impedance of the circuit is purely resistive,so $Z = R = 50 \, \Omega$.The peak voltage is $V_0 = 10 \, V$.The root mean square v

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) At resonance,the impedance of the circuit is purely resistive,so $Z = R = 50 \, \Omega$.The peak voltage is $V_0 = 10 \, V$.The root mean square voltage is $V_{rms} = \frac{V_0}{\sqrt{2}} = \frac{10}{\sqrt{2}} \, V$.The root mean square current at resonance is $I_{rms} = \frac{V_{rms}}{Z} = \frac{10 / \sqrt{2}}{50} \, A$.The power dissipated in an $AC$ circuit is given by $P = V_{rms} I_{rms} \cos \phi$.At resonance,the phase angle $\phi = 0^{\circ}$,so $\cos \phi = 1$.Substituting the values: $P = \left( \frac{10}{\sqrt{2}} ight) 	imes \left( \frac{10 / \sqrt{2}}{50} ight) 	imes 1$.$P = \frac{100}{2 	imes 50} = \frac{100}{100} = 1 \, W$.

In a series $RLC$ circuit $(AC)$:
$L = 10 \, mH$
$C = 0.01 \, \mu F$
$R = 50 \, \Omega$
If the supply voltage is $V = 10 \sin \omega t$,find the power dissipated at resonance in $W$.

Similar Questions

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 (in $Hz$)?

In an $LCR$ circuit,the inductance is changed from $L$ to $9 L$. For the same resonant frequency,the capacitance should be changed from $C$ to:

In a series $LCR$ resonant circuit,the quality factor is measured as $100$. If the inductance is increased by two fold and resistance is decreased by two fold,then the quality factor after this change will be .........

In an $LCR$ circuit,the resonance frequency of the circuit increases to two times its initial value by changing the capacitance from $C$ to $C^{\prime}$ and the resistance from $100 \ \Omega$ to $400 \ \Omega$,while the inductance $L$ is kept constant. The ratio $C / C^{\prime}$ is:

If the frequency of the $AC$ supply is equal to the resonant frequency,which ammeter will show zero reading?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

In a series $RLC$ circuit $(AC)$:$L = 10 \, mH$$C = 0.01 \, \mu F$$R = 50 \, \Omega$If the supply voltage is $V = 10 \sin \omega t$,find the power dissipated at resonance in $W$.