Alternating Current PYQs - Last 10 Years
JEE Main / Physics / Electricity / 167 recent questions
PhysicsElectricity2017-2026
Practice 167 JEE Main Physics questions from Alternating Current. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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105 in last 5 years167 in last 10 years
Last 10 Years Alternating Current Questions
Showing 50 of 167 filtered questions.
1Alternating Current
A capacitor of capacitance \(150.0 ~\mu \mathrm{F}\) is connected to an alternating source of emf given by \(\mathrm{E}=36 \sin (120 \pi \mathrm{t}) \mathrm{V}\). The maximum value of current in the circuit is approximately equal to :
MCQ+4 / -12023
2Alternating Current
An inductor of \(0.5 ~\mathrm{mH}\), a capacitor of \(20 ~\mu \mathrm{F}\) and resistance of \(20 ~\Omega\) are connected in series with a \(220 \mathrm{~V}\) ac source. If the current is in phase with the emf, the amplitude of current of t...
INTEGER+4 / -12023
3Alternating Current
If \(\mathrm{R}, \mathrm{X}_{\mathrm{L}}\), and \(\mathrm{X}_{\mathrm{C}}\) represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :
MCQ+4 / -12023
4Alternating Current
A series $\mathrm{LCR}$ circuit consists of $\mathrm{R}=80 \Omega, \mathrm{X}_{\mathrm{L}}=100 \Omega$, and $\mathrm{X}_{\mathrm{C}}=40 \Omega$. The input voltage is 2500 $\cos (100 \pi \mathrm{t}) \mathrm{V}$. The amplitude of current, in ...
INTEGER+4 / -12023
5Alternating Current
An alternating voltage source $\mathrm{V}=260 \sin (628 \mathrm{t}$ ) is connected across a pure inductor of $5 \mathrm{mH}$ Inductive reactance in the circuit is :
MCQ+4 / -12023
6Alternating Current
In a series LR circuit with \(\mathrm{X_L=R}\), power factor P1. If a capacitor of capacitance C with \(\mathrm{X_C=X_L}\) is added to the circuit the power factor becomes P2. The ratio of P1 to P2 will be :
MCQ+4 / -12023
7Alternating Current
In an ac generator, a rectangular coil of 100 turns each having area $14 \times 10^{-2} \mathrm{~m}^{2}$ is rotated at $360 ~\mathrm{rev} / \mathrm{min}$ about an axis perpendicular to a uniform magnetic field of magnitude $3.0 \mathrm{~T}$...
INTEGER+4 / -12023
8Alternating Current
In the given circuit, rms value of current $\left(I_{\mathrm{rms}}\right)$ through the resistor $R$ is:
MCQ+4 / -12023
9Alternating Current
An inductor of inductance 2 \(\mathrm{\mu H}\) is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 kHz. The value of capacitance for which maximum current is drawn into the circuit $$\frac{1}{x}\ma...
INTEGER+4 / -12023
10Alternating Current
For the given figures, choose the correct options :
MCQ+4 / -12023
11Alternating Current
An LCR series circuit of capacitance 62.5 nF and resistance of 50 \(\Omega\), is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is __________ mH.
(Take $$\pi^2...
(Take $$\pi^2...
INTEGER+4 / -12023
12Alternating Current
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes \(x\) times its initial resonant frequency \(\omega_0\). The value of \(x\) is :
MCQ+4 / -12023
13Alternating Current
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 \(\mathrm{X_L=70\Omega}\), and a capacitor of capacitive reactance $$\mathrm{X_C=130\O...
INTEGER+4 / -12023
14Alternating Current
In the circuit shown in the figure, the ratio of the quality factor and the band width is ___________ s.
INTEGER+4 / -12023
15Alternating Current
A series LCR circuit is connected to an ac source of \(220 \mathrm{~V}, 50 \mathrm{~Hz}\). The circuit contain a resistance \(\mathrm{R}=100 ~\Omega\) and an inductor of inductive reactance \(\mathrm{X}_{\mathrm{L}}=79.6 ~\Omega\). The capa...
INTEGER+4 / -12023
16Alternating Current
Match List - I with List - II :
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MCQ+4 / -12023
17Alternating Current
A square shaped coil of area \(70 \mathrm{~cm}^{2}\) having 600 turns rotates in a magnetic field of \(0.4 ~\mathrm{wbm}^{-2}\), about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If ...
INTEGER+4 / -12023
18Alternating Current
In the given figure, an inductor and a resistor are connected in series with a battery of emf E volt. \(\frac{E^{a}}{2 b} \mathrm{~J} / s\) represents the maximum rate at which the energy is stored in the magnetic field (inductor). The nume...
INTEGER+4 / -12023
19Alternating Current
Given below are two statements:
Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement II : An AC circuit containing a pure capacitor or a pure inductor consumes high power due...
Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement II : An AC circuit containing a pure capacitor or a pure inductor consumes high power due...
MCQ+4 / -12023
20Alternating Current
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 circ...
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 circ...
MCQ+4 / -12023
21Alternating Current
As per the given graph, choose the correct representation for curve \(\mathrm{A}\) and curve B.
Where \(\mathrm{X}_{\mathrm{C}}=\) reactance of pure capacitive circuit connected with A.C. source
\(\mathrm{X}_{\mathrm{L}}=\) reactance of pu...
MCQ+4 / -12023
22Alternating Current
A coil has an inductance of \(2 \mathrm{H}\) and resistance of \(4 ~\Omega\). A \(10 \mathrm{~V}\) is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _________...
INTEGER+4 / -12023
23Alternating Current
Given below are two statements:
Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an AC source, when resonance occurs
Statement II : Maximum power is dissipate...
Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an AC source, when resonance occurs
Statement II : Maximum power is dissipate...
MCQ+4 / -12023
24Alternating Current
A series LCR circuit with \(R = {{250} \over {11}}\,\Omega\) and \({X_L} = {{70} \over {11}}\,\Omega\) is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be _______...
INTEGER+4 / -12022
25Alternating Current
In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new quality factor (Q2) will be :
(f1 = original resonant frequency, Q1 = original quality factor)
(f1 = original resonant frequency, Q1 = original quality factor)
MCQ+4 / -12022
26Alternating Current
For a series LCR circuit, I vs \(\omega\) curve is shown :
(a) To the left of \(\omega\)r, the circuit is mainly capacitive.
(b) To the left of \(\omega\)r, the circuit is mainly inductive.
(c) At \(\omega\)r, impedance of the circuit is eq...
(a) To the left of \(\omega\)r, the circuit is mainly capacitive.
(b) To the left of \(\omega\)r, the circuit is mainly inductive.
(c) At \(\omega\)r, impedance of the circuit is eq...
MCQ+4 / -12022
27Alternating Current
An inductor of 0.5 mH, a capacitor of 200 \(\mu\)F and a resistor of 2 \(\Omega\) are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ____________ \(\times\) 102 Hz.
INTEGER+4 / -12022
28Alternating Current
A coil of inductance 1 H and resistance \(100 \,\Omega\) is connected to a battery of 6 V. Determine approximately :
(a) The time elapsed before the current acquires half of its steady - state value.
(b) The energy stored in the magnetic fi...
(a) The time elapsed before the current acquires half of its steady - state value.
(b) The energy stored in the magnetic fi...
MCQ+4 / -12022
29Alternating Current
An alternating emf \(\mathrm{E}=440 \sin 100 \pi \mathrm{t}\) is applied to a circuit containing an inductance of \(\frac{\sqrt{2}}{\pi} \mathrm{H}\). If an a.c. ammeter is connected in the circuit, its reading will be :
MCQ+4 / -12022
30Alternating Current
A capacitor of capacitance 500 \(\mu\)F is charged completely using a dc supply of 100 V. It is now connected to an inductor of inductance 50 mH to form an LC circuit. The maximum current in LC circuit will be _______ A.
INTEGER+4 / -12022
31Alternating Current
A circuit element \(\mathrm{X}\) when connected to an a.c. supply of peak voltage \(100 \mathrm{~V}\) gives a peak current of \(5 \mathrm{~A}\) which is in phase with the voltage. A second element \(\mathrm{Y}\) when connected to the same a...
MCQ+4 / -12022
32Alternating Current
A telegraph line of length 100 km has a capacity of 0.01 \(\mu\)F/km and it carries an alternating current at 0.5 kilo cycle per second. If minimum impedance is required, then the value of the inductance that needs to be introduced in serie...
INTEGER+4 / -12022
33Alternating Current
An AC source is connected to an inductance of 100 mH, a capacitance of 100 \(\mu\)F and a resistance of 120 \(\Omega\) as shown in figure. The time in which the resistance having a thermal capacity 2 J/\(^\circ\)C will get heated by 16$$^\c...
INTEGER+4 / -12022
34Alternating Current
In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is \({1 \over {K\pi }}\) mH. The value of K is ____________.
INTEGER+4 / -12022
35Alternating Current
The frequencies at which the current amplitude in an LCR series circuit becomes \(\frac{1}{\sqrt{2}}\) times its maximum value, are \(212\,\mathrm{rad} \,\mathrm{s}^{-1}\) and \(232 \,\mathrm{rad} \,\mathrm{s}^{-1}\). The value of resistanc...
INTEGER+4 / -12022
36Alternating Current
The equation of current in a purely inductive circuit is \(5 \sin \left(49\, \pi t-30^{\circ}\right)\). If the inductance is \(30 \,\mathrm{mH}\) then the equation for the voltage across the inductor, will be :
\(\left\{\right.\) Let $$\lef...
\(\left\{\right.\) Let $$\lef...
MCQ+4 / -12022
37Alternating Current
A transformer operating at primary voltage \(8 \,\mathrm{kV}\) and secondary voltage \(160 \mathrm{~V}\) serves a load of \(80 \mathrm{~kW}\). Assuming the transformer to be ideal with purely resistive load and working on unity power factor...
MCQ+4 / -12022
38Alternating Current
A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure) to run the lamp at its peak brightness, then the value of R (in ohm) will be _____________.
INTEGER+4 / -12022
39Alternating Current
The current flowing through an ac circuit is given by
I = 5 sin(120\(\pi\)t)A
How long will the current take to reach the peak value starting from zero?
I = 5 sin(120\(\pi\)t)A
How long will the current take to reach the peak value starting from zero?
MCQ+4 / -12022
40Alternating Current
If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
MCQ+4 / -12022
41Alternating Current
To light, a \(50 \mathrm{~W}, 100 \mathrm{~V}\) lamp is connected, in series with a capacitor of capacitance \(\frac{50}{\pi \sqrt{x}} \mu F\), with \(200 \mathrm{~V}, 50 \mathrm{~Hz} \,\mathrm{AC}\) source. The value of \(x\) will be _____...
INTEGER+4 / -12022
42Alternating Current
A direct current of \(4 \mathrm{~A}\) and an alternating current of peak value \(4 \mathrm{~A}\) flow through resistance of \(3\, \Omega\) and \(2\,\Omega\) respectively. The ratio of heat produced in the two resistances in same interval of...
MCQ+4 / -12022
43Alternating Current
A series LCR circuit has \(\mathrm{L}=0.01\, \mathrm{H}, \mathrm{R}=10\, \Omega\) and \(\mathrm{C}=1 \mu \mathrm{F}\) and it is connected to ac voltage of amplitude \(\left(\mathrm{V}_{\mathrm{m}}\right) 50 \mathrm{~V}\). At frequency $$60 ...
MCQ+4 / -12022
44Alternating Current
A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 \(\Omega\), at resonance in the circuit, will be __________ A.
INTEGER+4 / -12022
45Alternating Current
The effective current I in the given circuit at very high frequencies will be ___________ A.
INTEGER+4 / -12022
46Alternating Current
In a series \(L R\) circuit \(X_{L}=R\) and power factor of the circuit is \(P_{1}\). When capacitor with capacitance \(C\) such that \(X_{L}=X_{C}\) is put in series, the power factor becomes \(P_{2}\). The ratio \(\frac{P_{1}}{P_{2}}\) is...
MCQ+4 / -12022
47Alternating Current
If wattless current flows in the AC circuit, then the circuit is :
MCQ+4 / -12022
48Alternating Current
Match List-I with List-II.
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overflow:hidden;padding:10px 5px;word-break:normal;}...
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MCQ+4 / -12022
49Alternating Current
In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 \(\mu\)F and R = 10 \(\Omega\) respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of cu...
INTEGER+4 / -12022
50Alternating Current
A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 \(\mu\)F and R = 100 \(\Omega\). The phase difference (\(\Phi\)) between the applied voltage and resultant current will be :
MCQ+4 / -12022