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Alternating Current · Question 1

JEE Main 2026 (Online) 6th April Morning ShiftMCQEasy📈 Topic in 13% papers+4−1
1

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

Answer

(1) 0.8

Solution

Z= R2+(XC-XL)2= 802+(80-20)2

= 6400+3600=100

∴ Power factor = = RZ= 80100=0.8

(Erms and fd are not needed.)

Answer: (1)

JEE Main 2026 (Online) 6th April Morning Shift

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