Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20227 Aug 2022Morning ShiftPhysicsAlternating CurrentActual

The resonant frequency of a series LCR circuit is ' f _R '. The circuit is connected to a sinusoidally alternating e.m.f. of frequency ' 2 f _ R '. The inductive reactance becomes. ' X _ L ₁ ' and capacitive reactance becomes ' X _ C ₁ ' after changing the frequency. ' X _ C₁ ' is equal to

Options

  1. A2 X _ L ₁
  2. B1 4 X _ L ₁
  3. C1 2 X _ L ₁
  4. Dx _ L ₁

Correct answer

B. 1 4 X _ L ₁

Step-by-step solution

X_C= 1 ^2 and X_L=( L) We know, =2 f f if f is doubled X _ C ₁ = X _ C 2 and X _ L ₁ =2 X _ L We know, X _ C = X _ L 2 X _ C ₁ = XL ₁ 2 ( X _ C ₁ = X _ L ₁ 4 )

Practice Alternating Current on Quantrex Academy →

More from Alternating Current

An electronic device operates at 2 MHz. The oscillating circuit has an inductance 20 10⁻⁵ H. What is the capacitive reactance of the resonant circuit? 2026When a current of 2.5 A passes through the primary coil of a transformer of 200 number turns, the magnetic flux linked with the secondary coil having 400 turns is 600 10⁻⁶ T m^2 . 2026In a given circuit, the instantaneous values of the alternating voltage and current are V = 0.5 (80 t + 3 ) volt and I = 0.5 (80 t) ampere respectively. Find the average power cons 2026A source of alternating emf = ₀ ( t) is connected to a capacitor. Then the instantaneous current in the circuit is: 2026If wattless current flows in an AC circuit, then the circuit is: 2026A solenoid having resistance R = 60 and inductance L = 0.4 H is connected to an AC source V = 100 2 200t . Find the maximum current. 2026In a circuit containing a pure resistor connected to an AC source, 2026A light bulb rated 100 W is connected to an AC source of 220 V, 50 Hz. The rms current through the bulb is 2026 Full Alternating Current list All MHT CET PYQs