A 0 . 07   H inductor and a 12   Ω resistor are connected in series to a 220   V , &#160…

A 0.07 H inductor and a 12 Ω resistor are connected in series to a 220 V, 50 Hz AC source. The approximate current in the circuit and the phase angle between current and source voltage are respectively.

[Take π as 227

  1. 8.8 A and tan-1116
  2. 88 A and tan-1116
  3. 0.88 A and tan-1116
  4. 8.8 A and tan-1611

Solution

ϕ=tan-1XLR

XL=ωL 

XL=2×227×50×0.07=22 Ω

ϕ=tan-12212  R=12 Ω

ϕ=tan-1116
Z=XL2+R2=25.059
I=VZ=22025.059=8.77 A

Asked in: JEE Main 2021 (27 Jul Shift 1)

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