A series LCR circuit is connected to an a.c. | vedclass

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

Question

(B) The power factor of an $LCR$ circuit is given by $\cos \phi = \frac{R}{Z}$,where $R$ is the resistance and $Z$ is the impedance of the circuit.Giv

Vedclass · Accepted Answer

$0.8$

Vedclass · Answer

(B) The power factor of an $LCR$ circuit is given by $\cos \phi = \frac{R}{Z}$,where $R$ is the resistance and $Z$ is the impedance of the circuit.Given:Resistance $R = 80 \ \Omega$Inductive reactance $X_L = 70 \ \Omega$Capacitive reactance $X_C = 130 \ \Omega$The impedance $Z$ of a series $LCR$ circuit is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.Substituting the values:$Z = \sqrt{80^2 + (70 - 130)^2}$$Z = \sqrt{80^2 + (-60)^2}$$Z = \sqrt{6400 + 3600} = \sqrt{10000} = 100 \ \Omega$.Now,the power factor $x = \cos \phi = \frac{R}{Z} = \frac{80}{100} = 0.8$.

$A$ series $LCR$ circuit is connected to an a.c. source of $230 \ V, 50 \ Hz$. The circuit contains a resistance of $80 \ \Omega$,an inductor having inductive reactance $70 \ \Omega$,and a capacitor of capacitive reactance $130 \ \Omega$. The power factor of the circuit is $x$. The value of $x$ is

Similar Questions

When a voltage $V = V_0 \cos \omega t$ is applied across a resistor of resistance $R$,the average power dissipated per cycle in the resistor is given by

In an $ac$ circuit,the current is given by $i = 5 \sin \left( 100 t - \frac{\pi}{2} \right)$ and the $ac$ potential is $V = 200 \sin (100 t) \text{ volts}$. Then the power consumption is $....... \text{ watts}$.

In an $AC$ circuit,the $emf$ $(e)$ and the current $(i)$ at any instant are given respectively by:
$e = E_{0} \sin \omega t$
$i = I_{0} \sin (\omega t - \phi)$
The average power in the circuit over one cycle of $AC$ is:

What is power factor and voltage-current relationship in an $AC$ circuit?

$A$ choke coil is connected to an $AC$ source of frequency $\frac{50}{\pi} \, Hz$. If the resistance of the coil is $1 \, \Omega$ and the inductance is $10 \, mH$,what would be the value of the power factor?

Vedclass Test Series

Exam Paper Generator

Online Exam Module