An inductance of frac{300}{pi} text{ mH},a ca | vedclass

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

Question

(C) The phase angle $\phi$ in an $LCR$ series circuit is given by $	an \phi = \frac{X_L - X_C}{R}$.Given: $L = \frac{300}{\pi} 	ext{ mH} = \frac{0.3

Vedclass · Accepted Answer

$	an^{-1}(1)$

Vedclass · Answer

(C) The phase angle $\phi$ in an $LCR$ series circuit is given by $	an \phi = \frac{X_L - X_C}{R}$.Given: $L = \frac{300}{\pi} 	ext{ mH} = \frac{0.3}{\pi} 	ext{ H}$,$C = \frac{1}{\pi} 	ext{ mF} = \frac{1}{\pi} 	imes 10^{-3} 	ext{ F}$,$R = 20 \ \Omega$,$f = 50 	ext{ Hz}$.Angular frequency $\omega = 2 \pi f = 2 	imes \pi 	imes 50 = 100 \pi 	ext{ rad/s}$.Inductive reactance $X_L = \omega L = 100 \pi 	imes \frac{0.3}{\pi} = 30 \ \Omega$.Capacitive reactance $X_C = \frac{1}{\omega C} = \frac{1}{100 \pi 	imes \frac{1}{\pi} 	imes 10^{-3}} = \frac{1}{0.1} = 10 \ \Omega$.Substituting these values into the formula:$	an \phi = \frac{30 - 10}{20} = \frac{20}{20} = 1$.Therefore,$\phi = 	an^{-1}(1)$.

An inductance of $\frac{300}{\pi} \text{ mH}$,a capacitance of $\frac{1}{\pi} \text{ mF}$ and a resistance of $20 \ \Omega$ are connected in series with an a.c. source of $240 \text{ V}, 50 \text{ Hz}$. The phase angle of the circuit is

Similar Questions

An alternating voltage of frequency $\omega$ is induced in an electric circuit consisting of an inductance $L$ and capacitance $C$,connected in parallel. Then across the inductance coil:

The figure shows a combination of inductances and capacitances. The resonant frequency of the $L-C$ circuit is:

In an $LCR$ circuit shown in the following figure,what will be the readings of the voltmeter across the resistor and ammeter if an $a.c.$ source of $220\,V$ and $100\,Hz$ is connected to it as shown?

In a series $LCR$ circuit, the voltages across $L, C$, and $R$ are $50 \,V, 20 \,V$, and $40 \,V$ respectively. The $A.C.$ voltage applied across the combination of $LCR$ is: (in $\,V$)

For a series $LCR$ circuit,$R = X_L = 2X_C$. The impedance of the circuit and the phase difference between $V$ and $I$ respectively will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module