A series L R circuit connected with an ac source E = ( 25 sin 1000 t ) V has a power factor of 1 2 . If the…

A series LR circuit connected with an ac source E=(25 sin1000t) V has a power factor of 12. If the source of emf is changed to E=(20 sin2000t) V, the new power factor of the circuit will be :
  1. 12
  2. 13
  3. 15
  4. 17

Solution

For LR circuit, cosϕ=RXL2+R2=12

R=XL

Now, ω'=2ω

Therefore, XL'=ω'L=2ωL=2XL

Hence, cosϕ'=R2XL2+R2=15

Asked in: JEE Main 2024 (30 Jan Shift 1)

Practice more Alternating Current questions on Aicharya