Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202623 January 2026Morning ShiftPhysicsAlternating CurrentActual

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

Options

  1. ABoth Statement I and Statement II are true
  2. BBoth Statement I and Statement II are false
  3. CStatement I is true but Statement II is false
  4. DStatement I is false but Statement II is true

Correct answer

D. Statement I is false but Statement II is true

Step-by-step solution

From V = 5 (100t) , angular frequency = 100 rad/s At resonance in LCR circuit: X_L = X_C , so L = 1 C Maximum current occurs at resonance: I_ max = V_ rms R 50 10⁻³ = 5/ 2 100 (verified at resonance) From resonance condition: 100 2 = 1 100 C 200 = 1 100C C = 1 20000 = 5 10⁻⁵ F = 50 μF

Practice Alternating Current on Quantrex Academy →

More from Alternating Current

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d , where d^2 S . There is another coil of 2026An LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R = 80 , , an inductance with inductive reactance X_L = 20.0 , and capacitance with capacitiv 2026A 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 _______ . 2026An 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 , 2026An inductor of 10 mH, capacitor of 0.1 F and a resistor of 100 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 d 2026The 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 v 2026An 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. 2026The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for the period t=0 to t=T is _ _ _ _ . 2026 Full Alternating Current list All JEE Main PYQs