List of top Physics Questions on LCR Circuit asked in JEE Main

A series LCR circuit is subjected to an AC signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit is ________ :

A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance is halved keeping all other parameters same. The current amplitude at resonance will be now:

An AC voltage \( V = 20 \sin 200 \pi t \) is applied to a series LCR circuit which drives a current \( I = 10 \sin \left( 200 \pi t + \frac{\pi}{3} \right) \). The average power dissipated is:

Given below are two statements:
Statement I: In an LCR series circuit, current is maximum at resonance. 
Statement II: Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to the same voltage source. 
In the light of the above statements, choose the correct from the options given below.

For a given series LCR circuit, it is found that maximum current is drawn when value of variable capacitance is $2.5 \, \text{nF}$. If resistance of $2000 \, \Omega$ and $100 \, \text{mH}$ inductor is being used in the given circuit. The frequency of AC source is ____ $\times \, 10^3 \, \text{Hz}$. (Given $\pi^2 = 10$)

An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of 20 μF is .............. V.

In series LCR circuit, the capacitance is changed from C to 4C. To keep the resonance frequency unchanged, the new inductance should be :

Output of given circuit represents which logic gate :

A series LCR circuit is connected to an $AC$ source of $220 V , 50 Hz$ The circuit contains a resistance $R =80 \Omega$, an inductor of inductive reactance $X _{ L }=70 \Omega$, and a capacitor of capacitive reactance $X _{ C }=130 \Omega$ The power factor of circuit is $\frac{x}{10}$ The value of $x$ is :

An LCR series circuit of capacitance \(625\ nF\) and resistance of \(50 \ \Omega\) is connected to an AC source of frequency \(20\ kHz\) For maximum value of amplitude of current in circuit, the value of inductance is ___ \(mH\). (Take \(\pi^2 =10\))

In the given circuit, the current (I) through the battery will be

Ratio of thermal energy released in two resistors R and 3R connected in parallel in an electric circuit is:

Three concentric shells A, B and C having surface charge density σ, –σ and σ respectively. The radii of A and B are 2 cm and 3 cm respectively. Electric potential at surface A is V_A and at C is V_C. If V_A = V_C then find the radius of C in cm.

Figure shows a part of an electric circuit. The potentials at the points a, b and c are 30V, 12V and 2V respectively. the currents through the 20 resistors will be.

Given below are two statements :  
Statement I : When the frequency of an a.c. 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:

An oscillating LC circuit consists of a 75 mH inductor and a 1.2 uF capacitor. If the maximum charge to the capacitor is 2.7μC. The maximum current in the circuit will be _____mA.

The logic performed by the circuit shown in the figure is equivalent to:

A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 μF and R = 100 Ω. The phase difference (Φ) between the applied voltage and resultant current will be:

The current flowing through an ac circuit is given by \(I = 5 \;sin\;(120πt)\;A\). How long will the current take to reach the peak value starting from zero?

To increase the resonant frequency in series LCR circuit-

A battery of 6V is connected to the circuit as shown below. The current I drawn from the battery is

In the given circuit, the value of current \(I_L\) will be __________ mA. (When \(R_L = 1\ kΩ\))

As given in the figure, a series circuit connected across a $200V,60Hz$ line consists of a capacitor of capacitive reactance $30\mathrm{\Omega }$, a non-inductive resistor of $44\mathrm{\Omega }$, and a coil of inductive resistance $90\mathrm{\Omega }$ and resistance $36\mathrm{\Omega }$. The power dissipated in the coil is?