Resonance

Graph showing variation of current with frequency of $AC$ source in a series $LCR$ circuit is,

A series combination of resistor of resistance $100 \mathrm{\Omega }$ inductor of inductance $1 \mathrm{H}$ and capacitor of capacitance $6.25 \mathrm{\mu F}$ is connected to an ac source. The quality factor of the circuit will be _____.

Given below are two statements:

Statement I : When the frequency of an AC source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases.

Statement II : In a series LCR circuit, the value of power factor at resonance is one.

In the light of given statements, choose the most appropriate answer from the options given below.

Statement $\left(1\right):$ In LCR circuit, by increasing frequency, current increases first then decreases.

Statement $\left(2\right):$ Power factor of LCR circuit is one at resonance.

A $5 \mathrm{ohm}$ resistor, a $5 \mathrm{mH}$ inductor and a $5 \mathrm{\mu F}$ capacitor, joined in series resonate with an ac source of frequency ${\omega }_0$. If only the resistance is changed to $10 \mathrm{ohm}$, the circuit resonates at a frequency ${\omega }_1$. If only the inductor is changed to $20 \mathrm{mH}$, the circuit resonates at a frequency ${\omega }_2$. Find the ratio ${\omega }_1/{\omega }_2$.

For what frequency the voltage across the resistance $R$ will be maximum?

In a series LCR circuit, when AC voltage $V_0\sin {\omega }_{0}t$ is applied, the circuit exhibits resonance. The quality factor, $Q$ is given by

What is the formula of resonance frequency for parallel ac circuits

What is resonance frequency?

In the given RLC circuit

i) Determine the value of the capacitance $C$ which makes the circuit resonate at $80 \mathrm{Hz}$.
ii) Calculate the current in the circuit at $80 \mathrm{Hz}$.

In an AC circuit, the voltage across the inductor and capacitor is $2$ times that of resistance. The supply voltage is $220 \mathrm{V}, 50\mathrm{Hz}$ and resistance is $5 \mathrm{\Omega }$. If the inductance is $\frac{1}{k\pi } \mathrm{H}$, find the value of $k$.

A series RLC is to be designed for channel selection in a remote. Which of these combinations will you choose?

The reading of ammeter in the circuit shown will be

In the circuit shown in figure current in the circuit is $\left(R=51.5\mathrm{\Omega }\right)$

For a series LCR circuit with $L=2 \mathrm{H}, C=18 \mu \mathrm{F}$ and $\mathrm{R}=10 \mathrm{\Omega }$. What is the value $Q$-factor of this circuit?

For LCR ac series circuits, $L=25 \mathrm{mH}, R=3 \mathrm{\Omega }, \mathrm{C}=62.5 \mu \mathrm{F}$. What is the frequency of the sources at which resonance occurs?

Voltage across resistance $\left({\mathrm{V}}_{\mathrm{R}}\right)$ versus frequency graph of LCR circuit is shown. The bandwidth of circuit is:

In a LCR series combination with an ac source the current at resonance is $i_0$ . At two different frequencies having a band width equal to $\frac{R}{nL}$ the current observed to be $\frac{i_0}{\sqrt{2}}$. The value of $n$ is

An $\mathrm{LCR}$ circuit is connected to an $\mathrm{AC}$ source. At resonance, the phase difference between the applied voltage and the current flowing in the circuit will be

In a series$L C R$  circuit the resistance $R$ was replaced by $\frac{R}{2}$$.$ Which of the following statements is CORRECT?