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Alternating Current

JEE Main 2025 (Online) 22nd January Evening ShiftMCQEasy📈 Topic in 11% papers+4−1
Ques. 1JEE Main 2025, 22 January (Evening Shift)

A series LCR circuit is connected to an alternating source of emf E. The current amplitude at resonant frequency is I0. If the value of resistance R becomes twice of its initial value then amplitude of current at resonance will be

  1. I02
  2. I0 2
  3. 2I0
  4. I0

Answer

(1) I02

Solution

Z= R2+(XL-XC)2; at resonance XL=XC Z=R, so I0= ER

R 2R (resonance unchanged): I= E2R= I02

Answer: (1)

Keep practising — Alternating Current

Ques. 2JEE Main 2026, 6 April (Morning Shift)

A LCR series circuit driven with Erms=90 V at frequency fd=30 Hz has resistance R=80 , an inductance with inductive reactance XL=20.0 and capacitance with capacitive reactance XC=80.0 . The power factor of the circuit is .

  1. 0.8
  2. 0.64
  3. 0.9
  4. 0.5
Ques. 3JEE Main 2026, 5 April (Morning Shift)

An a.c. source of angular frequency is connected across a resistor R and a capacitor C in series. The current is observed as I. Now the frequency of the source is changed to /4, (keeping the voltage unchanged) the current is found to be I/3. The ratio of resistance to reactance at frequency is

  1. 67
  2. 35
  3. 78
  4. 34
Ques. 4JEE Main 2026, 5 April (Evening Shift)

A series LCR circuit with R=20 , L=1.6 H and C=40 F is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is .

Ques. 5JEE Main 2026, 4 April (Morning Shift)

An inductor of 10 mH, capacitor of 0.1 μF and a resistor of 100 Ω are connected in series across an a.c. power supply 220 V, 70 Hz. The power factor of the given circuit is 0.5. The difference in the inductive reactance and capacitive reactance is 3 Ω. The value of is .

Ques. 6JEE Main 2026, 2 April (Evening Shift)

The figure given below shows an LCR series circuit with two switches S1 and S2. When switch S1 is closed keeping S2 open, the phase difference ( ) between the current and source voltage is 30° and phase difference is 60° when S2 is closed keeping S1 open. The value of (3L1-L2) is H. [figure]

  1. 92
  2. 29
  3. 13
  4. 3
Ques. 7JEE Main 2026, 28 January (Morning Shift)

The electric current in the circuit is given as i = io(t/T). The r.m.s current for the period t = 0 to t = T is .

  1. io 2
  2. io 3
  3. io
  4. io 6
Ques. 8JEE Main 2026, 28 January (Evening Shift)

An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is . ( = 3.14)

Ques. 9JEE Main 2026, 24 January (Morning Shift)

For the series LCR circuit connected with 220 V, 50 Hz a.c. source as shown in the figure, the power factor is 10. The value of is . [figure]

  1. 4
  2. 8
  3. 6
  4. 10
Ques. 10JEE Main 2026, 23 January (Morning Shift)

Using a variable frequency a.c. voltage source the maximum current measured in the given LCR circuit is 50 mA for V = 5 (100t). The values of L and R are shown in the figure. The capacitance of the capacitor (C) used is . [figure]

Ques. 11JEE Main 2026, 21 January (Evening Shift)

A capacitor C is first charged fully with potential difference of V0 and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L. In t s, 25% of the initial energy in the capacitor is transferred to the inductor. The value of t is s.

  1. LC3
  2. LC2
  3. LC2
  4. LC6

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