For a series LCR circuit,the I vs omega curve | vedclass

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

Question

(C) In a series $LCR$ circuit,the resonance frequency $\omega_{r}$ is defined by the condition $X_{C} = X_{L}$,where $X_{C} = \frac{1}{\omega C}$ and

Vedclass · Accepted Answer

$(A)$ and $(C)$ only

Vedclass · Answer

(C) In a series $LCR$ circuit,the resonance frequency $\omega_{r}$ is defined by the condition $X_{C} = X_{L}$,where $X_{C} = \frac{1}{\omega C}$ and $X_{L} = \omega L$.$1$. For $\omega  \omega L$,which means $X_{C} > X_{L}$. Thus,the circuit is mainly capacitive. Statement $(A)$ is correct.$2$. For $\omega > \omega_{r}$,we have $X_{L} > X_{C}$,so the circuit is mainly inductive.$3$. At resonance $\omega = \omega_{r}$,the impedance $Z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}}$. Since $X_{L} = X_{C}$,$Z = \sqrt{R^{2} + 0} = R$. Thus,the impedance is equal to the resistance. Statement $(C)$ is correct.$4$. Statement $(D)$ is incorrect because at resonance,the impedance is minimum and equal to $R$,not $0$.Therefore,statements $(A)$ and $(C)$ are correct.

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:

In the figure shown,three $AC$ voltmeters are connected. The circuit is at resonance.

In a series resonant $LCR$ circuit,for the power dissipated to become half of the maximum power dissipated,the current amplitude is

Using a variable-frequency a.c. voltage source,the maximum current measured in the given $LCR$ circuit is $50 \text{ mA}$ for $V = 5 \sin(100t)$. The values of $L$ and $R$ are shown in the figure. The capacitance of the capacitor $(C)$ used is . . . . . . $\mu\text{F}$.

At an airport,a person is made to walk through the doorway of a metal detector,for security reasons. If she/he is carrying anything made of metal,the metal detector emits a sound. On what principle does this detector work?

Vedclass Test Series

Exam Paper Generator

Online Exam Module