Resonant Circuits

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?

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 $k$.

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 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?

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?

A circuit consisting of a resistor$\left(R\right)$, inductor$\left(L\right)$ and capacitor$\left(C\right)$ is connected to an alternating voltage source. At resonance the impedance of the circuit will be

A series LCR circuit has a capacitor $6.25 \mu \mathrm{F}$ in series with a resistance $R=300 \mathrm{\Omega }$ and an inductance $L.$ The circuit is driven by a voltage $V=240 \cos \left(400t\right).$

If the circuit is in resonance, the magnitude of the voltage drop across the R-L segment (i.e. drop across the points $P$ and $Q$ ) is

In the following circuit the readings of AC voltmeters and ammeters will be respectively-

Draw a current versus frequency graph for parallel resonant circuit.

The current is minimum in _____ LCR circuit?

The current is minimum in parallel LCR circuit?

Why the current is minimum in parallel LCR circuit?