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Alternating Current

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2026
A LCR series circuit driven with $E_{\mathrm{rms}}=90 \mathrm{~V}$ at frequency $f_d=30 \mathrm{~Hz}$ has resistance $\mathrm{R}=80 \Omega$, an inductance with inductive...
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Q JEE MAIN_2026
A series LCR circuit with R $=20 \Omega, \mathrm{~L}=1.6 \mathrm{H}$ and $\mathrm{C}=40 \mu \mathrm{~F}$ is connected to a variable frequency...
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Q JEE MAIN_2026
An a.c. source of angular frequency $\omega$ is connected across a resistor R and a capacitor C in series. The...
JEE Main Physics Medium
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Q JEE MAIN_2026
The figure given below shows an LCR series circuit with two switches $S_1$ and $S_2$. When switch $S_1$ is closed...
JEE Main Physics Hard
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Q JEE Main 2024
When a coil is connected across a 20 V dc supply, it draws a current of 5 A . When...
JEE Main Physics Hard
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Q JEE Main 2024
A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the...
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Q JEE MAIN 2026
Using a variable frequency acavoltage source the maximum current measured in the given LCR circuit is 50 mA for $...
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Q JEE MAIN 2026
The electric current in the circuit is given as $i=i_0(t / T)$. The r.m.s current for the period $t=0$ to...
JEE Main Physics Medium
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Q JEE MAIN 2026
Let $\mathrm{P}_1: y=4 x^2$ and $\mathrm{P}_2: y=x^2+27$ be two parabolas. If the area of the bounded region enclosed between $P_1$...
JEE Main Mathematics Medium
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Q JEE MAIN 2026
The area of the region enclosed between the circles $x^2+y^2=4$ and $x^2+(y-2)^2=4$ is:
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Q JEE MAIN 2026
For the series LCR circuit connected with $220 \mathrm{~V}, 50 \mathrm{~Hz}$ a.c source as shown in the figure, the power...
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Q JEE MAIN 2026
An electric power line having total resistance of $2 \Omega$, delivers 1 kW of power at 250 ym the percentage...
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Q JEE MAIN 2020
An inductance coil has a reactance of $100 \Omega$. When an AC signal of frequency 1000 Hz is applied to...
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Q JEE MAIN 2019
A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having...
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Q JEE MAIN 2020
A series AC circuit containing an inductor ( 20 mH ), a capacitor ( $120 \mu \mathrm{~F}$ ) and a...
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Q JEE MAIN 2020
In a series LR circuit, power of 400 W is dissipated from a source of $250 \mathrm{~V}, 50 \mathrm{~Hz}$. The...
JEE Main Physics Hard
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Q JEE MAIN 2020
An AC circuit has $\mathrm{R}=100 \Omega, \mathrm{C}=2 \mu \mathrm{~F}$ and $\mathrm{L}=80 \mathrm{mH}$, connected in series. The quality factor of the...
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Q JEE MAIN 2019
A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having...
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Q JEE MAIN 2020
In LC circuit the inductance L $=40 \mathrm{mH}$ and capacitance $\mathrm{C}=100 \mu \mathrm{~F}$. If a voltage $\mathrm{V}(\mathrm{t})=10 \sin (314 \mathrm{t})$...
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Q JEE MAIN 2019
A series AC circuit containing an inductor (20 mH), a capacitor (120 μF) and a resistor (60 Ω) is driven...
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Q JEE MAIN 2021
At very high frequencies, the effective impendance of the given circuit will be $\_\_\_\_$ $\Omega$.
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Q JEE MAIN 2021
At very high frequencies, the effective impendance of the given circuit will be $\_\_\_\_$ $\Omega$
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Q JEE MAIN 2021
In an ac circuit, an inductor, a capacitor and a resistor are connected in series with $\mathrm{XL}=\mathrm{R}=\mathrm{Xc}$. Impedance of this...
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Q JEE MAIN 2021
An ac circuit has an inductor and a resistor of resistance $R$ in series, such that $X_L=3 R$. Now, a...
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Q JEE MAIN 2019
An alternating voltage $\mathrm{v}(\mathrm{t})=220 \sin 100 \pi \mathrm{t}$ volt is applied to a purely resistive load of $50 \Omega$. The...
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Q JEE MAIN 2021
In the given circuit the AC source has $\omega=100 \mathrm{rad} \mathrm{s}^{-1}$. Considering the inductor and capacitor to be ideal, what...
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Q JEE MAIN 2021
A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance $\mathrm{R}=3 \mathrm{k} \Omega$,...
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Q JEE MAIN 2021
Two circuits are shown in the figure (a) & (b). At a frequency of ________rad/s the average power dissipated in...
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Q JEE MAIN 2021
A 100 $\Omega$ resistance, a 0.1 $\mu \mathrm{F}$ capacitor and an inductor are connected in series across a 250 V...
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Q JEE MAIN 2021
A $10 \Omega$ resistance is connected across $220 \mathrm{~V}-50 \mathrm{~Hz} \mathrm{AC}$ supply. The time taken by the current to change...
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Q JEE MAIN 2021
A $100 \Omega$ resistance, a $0.1 \mu \mathrm{~F}$ capacitor and an inductor are connected in series across a 250 V...
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Q JEE MAIN 2021
Intensity of sunlight is observed as $0.092 \mathrm{Wm}^{-2}$ at a point in free space. What will be the peak value...
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Q JEE MAIN 2021
Match List-I with List-II : Choose the correct answer from the options given below :
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Q JEE MAIN 2021
In an LCR series circuit, an inductor 30 mH and a resistor $1 \Omega$ are connected to an AC source...
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Q JEE MAIN 2021
A 0.07 H inductor and a $12 \Omega$ resistor are connected in series to a $220 \mathrm{~V}, 50 \mathrm{~Hz}$ ac...
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Q JEE MAIN 2021
In a circuit consisting of a capacitance and a generator with alternating emf $\mathrm{E}_9=\mathrm{E}_{90} \sin \omega t, \mathrm{~V}_c$ and $\mathrm{I}_c$...
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Q JEE MAIN 2019
A circuit connected to an ac source of emf $e=e_0 \sin (100 t)$ with $t$ in seconds, gives a phase...
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Q JEE MAIN 2021
A series LCR circuit of R $=5 \Omega, \mathrm{~L}=20 \mathrm{mH}$ and $\mathrm{C}=0.5 \mu \mathrm{~F}$ is connected across an AC supply...
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Q JEE MAIN 2021
AC voltage V(t) = 20 $\sin \omega t$ of frequency 50 Hz is applied to a parallel plate capacitor. The...
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Q JEE MAIN 2021
For a series LCR circuit with R $=100 \Omega, \mathrm{~L}=0.5 \mathrm{mH}$ and $\mathrm{C}=0.1 \mathrm{pF}$ connected across $220 \mathrm{~V}-50 \mathrm{~Hz} \mathrm{AC}$...
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Q JEE MAIN 2022
A series LCR circuit has L = 0.01 H, R = 10 $\Omega$ and C = 1 $\mu \mathrm{F}$ and...
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Q JEE MAIN 2021
The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R,...
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Q JEE MAIN 2021
In a series LCR circuit, the inductive reactance $\left(X_L\right)$ is $10 \Omega$ and the capacitive reactance $\left(\mathrm{X}_{\mathrm{c}}\right)$ is $4 \Omega$....
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Q JEE-MAIN 2021
Seawater at a frequency $f=9 \times 10^2 \mathrm{~Hz}$, has permittivity $\varepsilon=80 \varepsilon_0$ and resistivity $r=0.25 \Omega \mathrm{~m}$. Imagine a parallel...
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Q JEE-MAIN 2021
What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved ?
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Q JEE-MAIN 2021
Match list I with List II
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Q JEE MAIN 2021
For the given circuit, comment on the type of transformer used :
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Q JEE MAIN 2021
An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to...
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Q JEE MAIN 2021
In a scries LCR resonance circuit, if we change the resistance only, from a lower to higher value :
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Q _JEE_MAIN_2021
An AC current is given by $\mathrm{I}=\mathrm{I} 1$ sincet +I 2 cosest. A hot wire ammeter will give a reading.
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Q JEE MAIN 2021
A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which $...
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Q JEE MAIN 2021
In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two...
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Q JEE MAIN 2021
An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output...
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Q JEE MAIN 2021
A common transistor radio set requires 12V (D.C.) for its operation. The D.C. source is constructed by using a transformer...
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Q JEE MAIN 2021
A resonance circuit having inductance and resistance $2 \times 10^{-4} \mathrm{H}$ and $6.28 \Omega$ respectively oscillates at 10 MHz frequency....
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Q JEE MAIN 2021
An LCR circuit contains resistance of $110 \Omega$ and a supply of 220 V at $300 \mathrm{rad} / \mathrm{s}$ angular...
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Q JEE MAIN 2021
Find the peak current and resonant frequency of the following circuit
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Q JEE MAIN 2021
An alternating current is given by the equation $\mathrm{i}=\mathrm{i}_1 \sin \omega \mathrm{t}+\mathrm{i}_2 \cos \omega \mathrm{t}$. The rms current will be
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Q JEE MAIN 2021
A series LCR circuit is designed to resonate at an angular frequency $\omega_0=10^5 \mathrm{rad} / \mathrm{s}$. The circuit draws 16...
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Q JEE MAIN 2021
A transmitting station releases waves of wavelength 960 m . A capacitor of $2.56 \mu \mathrm{~F}$ is used in the...
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Q JEE MAIN 2022
The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the...
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Q JEE MAIN 2022
In the given circuit, the magnitude of $V_L$ and $V_C$ are twice that of $V_R$. Given that $f =50 \mathrm{~Hz}$,...
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Q JEE MAIN 2022
A transformer operating at primary voltage 8 kV and secondary voltage 160 V serves a load of 80 kW. Assuming...
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Q JEE MAIN 2022
A circuit element X when connected to an a.c. supply of peak voltage 100 V gives a peak current of...
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Q JEE Main 2022
The equation of current in a purely inductive circuit is $5 \sin \left(49 \pi t-30^{\circ}\right)$. If the inductance is 30...
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Q JEE MAIN 2022
The effective current I in the given circuit at very high frequencies will be ____A.
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Q JEE MAIN 2022
To light, a $50 \mathrm{~W}, 100 \mathrm{~V}$ lamp is connected, in series with a capacitor of capacitance $...
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Q JEE MAIN 2022
An alternating emf $E=440 \sin 100 \pi t$ is applited to a circuit containing an inductance of $\frac{\sqrt{2}}{\pi} H$. If...
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Q JEE MAIN 2022
A direct current of 4 A and an alternating current of peak value 4A flow through resistance of $3 \Omega$...
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Q JEE MAIN 2022
To increase the resonant frequency in series LCR circuit,
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Q JEE MAIN 2022
In a series LR circuit $X_L=R$ and power factor of the circuit is $\mathrm{P}_1$. When capacitor with capacitance C such...
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Q JEE MAIN 2022
An inductor of $0.5 \mu \mathrm{H}$, a capacitor of $200 \mu \mathrm{~F}$ and a resistor of $2 \Omega$ are connected...
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Q JEE MAIN 2022
If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have...
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Q JEE-MAIN 2022
In a series LCR circuit, the inductance, capacitance and resistance are L = 100mH,$C=100 \mu \mathrm{~F}$ and $\mathrm{R}=10 \Omega$ respectively....
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Q JEE MAIN 2022
A sinusoidal voltage $V(t)=210 \sin 3000 t$ volt is applied to a series LCR circuit in which $...
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Q JEE MAIN 2022
Given below are two statements : Statement-I : The reactance of an ac circuit is zero. It is possible that...
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Q JEE MAIN 2022
A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the...
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Q JEE MAIN 2022
A telegraph line of length loo km has a capacity of $0.01 \mu \mathrm{~F} / \mathrm{km}$ and it carries an...
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Q JEE-MAIN 2022
For a series LCR circuit, I vs $\omega$ curve is shown : $\mid$ (a) To the left of $\omega r_r$,...
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Q JEE MAIN 2022
An AC source is connected to an inductance of 100 mH , a capacitance of $100 \mu \mathrm{~F}$ and a...
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Q JEE MAIN 2022
The current flowing through an ac circuit is given by $I=5 \sin (120 \pi t) A$ How long will the...
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Q JEE MAIN 2022
As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220...
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Q JEE MAIN 2022
A resistance of 40 $\Omega$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the...
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Q JEE MAIN 2022
If wattless current flows in the AC circuit, then the circuit is
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Q JEE MAIN 2024
A coil of 200 turns and area $0.20 \mathrm{~m}^2$ is rotated at half a revolution per second and is placed...
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Q JEE MAIN 2024
A series $L C R$ circuit with $L=\frac{100}{\pi} \mathrm{mH}, \mathrm{C}=\frac{10^{-3}}{\pi} \mathrm{~F}$ and $\mathrm{R}=10 \Omega$, is connected across an ac source...
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Q JEE MAIN 2024
A transformer has an efficiency of 80% and works at 10 V and 4 kW. If the secondary voltage is...
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Q JEE-Main_2024
In an a.c. circuit, voltage and current are given by. $\mathrm{V}=100 \sin (100 \mathrm{t}) \mathrm{V}$ and $...
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Q JEE MAIN 2024
An $A C$ voltage $V=20 \sin 200 \pi t$ is applied to a series $L C R$ circuit which drives...
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Q JEE MAIN 2024
A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding having...
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Q JEE MAIN 2024
Primary side of a transformer is connected to 230 V,50 Hz supply. Turns ratio of primary to secondary winding is...
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Q JEE MAIN 2024
An alternating voltage $V(t)=220 \sin 100 \pi t$ volt is applied to a purely resistive load of $50 \Omega$. The...
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Q JEE MAIN_2023
A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance...
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Q JEE MAIN 2025
An inductor of self inductance 1 H is connected in series with a resistor of $100 \pi \mathrm{ohm}$ and an...
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Q JEE MAIN 2023
In the circuit shown in the figure, the ratio of the quality factor and the band width is ______ s.
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Q JEE MAIN 2023
A capacitor of capacitance $150.0 \mu \mathrm{~F}$ is connected to an alternating source of emf given by $...
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Q JEE MAIN 2025
An inductor of reactance $100 \Omega$, a capacitor of reactance $50 \Omega$, and a resistor of resistance $50 \Omega$ are...
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Q JEE MAIN_2025
An electric bulb rated as 100W-220V is connected to an ac source of rms voltage 220 V. The peak value...
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Q JEE MAIN 2023
Given below are two statements: Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor...
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Q JEE MAIN 2023
A series combination of resistor of resistance $100 \Omega$, inductor of inductance 1 H and capacitor of capacitance $...
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Q JEE MAIN_2023
An inductor of inductance $2 \mu \mathrm{H}$ is connected in series with a resistance, a variable capacitor and an AC...
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Q JEE MAIN 2023
A series LCR circuit consists of R $=80 \Omega \mathrm{X}_{\mathrm{L}}=100 \Omega$ and $\mathrm{X}_{\mathrm{C}}=40 \Omega$. The input voltage is $...
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Q JEE MAIN_2023
For the given figures, choose the correct options:
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Q JEE MAIN 2023
An alternating voltage source V = 260 sin (628t) is connected across a pure inductor of 5 mH. Inductive reactance...
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Q JEE MAIN 2023
Given below are two statements: Statement-I : When the frequency of an a.c. source in a series LCR circuit increases,...
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Q JEE MAIN 2023
As per the given graph choose the correct representation for curve A and curve B. {Where $X_C$ = reactance of...
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Q JEE MAIN_2023
A series LCR circuit is connected to an ac source of 220V, 50Hz. The circuit contain a resistance $...
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Q JEE MAIN 2023
An LCR series circuit of capacitance 62.5 nF and resistance of 50. is connected to an A.C. source of frequency...
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Q JEE MAIN 2023
An inductor of 0.5 mH , a capacitor of $20 \mu \mathrm{~F}$ and resistance of $20 \Omega$ are connected in...
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Q JEE MAIN 2023
In a series $L R$ circuit with $X_L=R$. power factor is $P_1$. If a capacitor of capacitance $C$ with $X_C=X_L$...
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Q JEE MAIN 2023
If $R, X_L$. and $X_c$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
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Q JEE MAIN_2023
Match the List–I with List–II. Choose the correct answer from the options given below:
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Q JEE MAIN 2023
A free neutron decays into a proton but a free proton does not decay into neutron. This is because
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Q JEE MAINS 2024
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency...
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Q JEE MAIN
When a dc voltage of 100V is applied to an inductor, a de current of 5A flows through it. When...
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Q JEE MAIN
A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance...
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Q JEE MAIN
Given below are two statements : Statement I : In an LCR series circuit, current is maximum at resonance. Statement...
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Q JEE MAIN 2024
An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of 20μF is...
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Q JEE MAIN 2024
A alternating current at any instant is given by $\mathrm{i}=\left[6+\sqrt{56} \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)\right] \mathrm{A}$. The rms value of the...
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Q JEE MAIN 2024
In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source...
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Q JEE MAIN
In series LCR circuit, the capacitance is changed from C to 4C. To keep the resonance frequency unchanged, the new...
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Q JEE MAIN
A parallel plate capacitor has a capacitance C=200pF. It is connected to 230" " V ac supply with an angular...
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Q JEE-Main_2024
A series L,R circuit connected with an ac source E=(25sin⁡1000t)V has a power factor of 1/√2. If the source of...
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Q JEE-Main_2024
Primary coil of a transformer is connected to 220V ac. Primary and secondary turns of the transforms are 100 and...
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Q JEE MAIN 2025
An alternating current is represented by the equation, $i = 100\sqrt 2 \sin (100\pi t)$ ampere. The RMS value of...
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Q JEE MAIN 2025
For ac circuit shown in figure, ${\rm{R}} = 100{\rm{k}}\Omega $ and ${\rm{C}} = 100{\rm{pF}}$ and the phase difference between $...
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Q JEE MAIN 2025
An ac current is represented as $i = 5\sqrt 2 + 10\cos \left( {650\pi t + \frac{\pi }{6}} \right)Amp$ The...
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Q JEE MAIN 2025
In a series LCR circuit, a resistor of $300 \Omega$, a capacitor of 25 nF and an inductor of 100...
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Q JEE MAIN 2025
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...
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Q JEE MAIN 2025
An alternating current is given by $I = {I_A}\sin \omega t + {I_B}\cos \omega t$ . The r.m.s current will...
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Q JEE MAIN 2025
A series LCR circuit is connected to an alternating source of emf E. The current amplitude at resonant frequency is...
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Q JEE Advance 2021
In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance $\mathrm{C} \mu \mathrm{F}$ across...
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Q JEE Advance 2021
In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance $\mathrm{C} \mu \mathrm{F}$ across...
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Q JEE Advanced 2023
A series LCR circuit is connected to a $45 \sin (\omega t)$ Volt source. The resonant angular frequency of the...
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Q JEE ADVANCED_2025
A circuit with an electrical load having impedance $Z$ is connected with an $A C$ source as shown in the...
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