Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsAlternating Current

A coil has inductance of 0.4 H and resistance of 8 . It is connected to an AC source with peak emf 4 ~V and frequency 30 Hz . The average power dissipated in the circuit is

Options

  1. A1 ~W
  2. B0.5 ~W
  3. C0.3 ~W
  4. D0.1 ~W

Correct answer

D. 0.1 ~W

Step-by-step solution

Average power dissipated is aligned & P_ avg =V_ rms I_ rms & = V_ 2 ( V_ 2 ) 1 Z R Z & = V_ ^2 2 R Z^2 = V_ ^2 2 R ( X_L^2+R^2 ) & = (4)^2 2 8 . (0.4 60)^2+8^2 )^2 & = 16 8 2 (24^2+8^2 ) = 64 640 = 1 10 =0.1 ~W aligned

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 99 Percentile Qs Bank for JEE Main PYQs