An LCR series circuit with 100 Omega resistan | vedclass

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

Question

(A) In an $LCR$ series circuit,the impedance is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.When the capacitor is removed,the circuit becomes an $LR$ ci

Vedclass · Accepted Answer

$400 W$

Vedclass · Answer

(A) In an $LCR$ series circuit,the impedance is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.When the capacitor is removed,the circuit becomes an $LR$ circuit. The phase angle $\phi$ is given by $	an \phi = \frac{X_L}{R}$. Given $\phi = 60^{\circ}$,we have $	an 60^{\circ} = \frac{X_L}{R} = \sqrt{3}$,so $X_L = R\sqrt{3}$.When the inductor is removed,the circuit becomes an $RC$ circuit. The phase angle $\phi$ is given by $	an \phi = \frac{X_C}{R}$. Given $\phi = 60^{\circ}$,we have $	an 60^{\circ} = \frac{X_C}{R} = \sqrt{3}$,so $X_C = R\sqrt{3}$.Since $X_L = X_C$,the circuit is in a state of resonance.At resonance,the impedance $Z = R = 100 \Omega$.The power dissipated in the $LCR$ circuit is $P = \frac{V^2}{R} = \frac{(200)^2}{100} = \frac{40000}{100} = 400 W$.

Similar Questions

In the given circuit,the readings of voltmeters $V_1$ and $V_2$ are $300 \, V$ each. The readings of voltmeter $V_3$ and ammeter $A$ are respectively:

$A$ resonant frequency of a circuit is $f$. If the capacitance is made four times the initial value,then the resonant frequency will become

$A$ circuit containing resistance $R_1$,inductance $L_1$,and capacitance $C_1$ connected in series resonates at the same frequency $f_r$ as another circuit containing $R_2$,$L_2$,and $C_2$ in series. If the two circuits are connected in series,then the new frequency at resonance is

For a series $LCR$ circuit at resonance,the statement which is not true is:

$A$ $10 \, \Omega$ resistor, a $5 \, \text{mH}$ inductor, and a $10 \, \mu\text{F}$ capacitor are connected in series. When a suitable frequency alternating current source is connected to this combination, the circuit resonates. If the resistance is halved, the resonance frequency:

Vedclass Test Series

Exam Paper Generator

Online Exam Module