A 44 mH inductor is connected to 220 V, 50 Hz ac supply. The rms value of the current in the circuit is

Question

A 44 mH inductor is connected to 220 V, 50 Hz ac supply. The rms value of the current in the circuit is (A) 12.8 A (B) 13.6 A (C) 15.9 A (D) 19.5 A

Tardigrade Admin · Accepted Answer

Here, L = 44 mH = 44 × 10-3 H Vrms = 220 V, upsilon=50 Hz The inductive reactance is XL=ω L =2π upsilon L=2×3.14×50×44×10-3 =13.82 Ω ∴ Irms=(Vrms/XL) =(220/13.82) =15.9 A

Q. A $44 m H$ inductor is connected to $220 V$ , $50 Hz$ ac supply. The rms value of the current in the circuit is

$12.8 A$

$13.6 A$

$15.9 A$

$19.5 A$

Here, $L = 44 m H = 44 \times 1 0^{- 3} H$
$V_{r m s} = 220 V,$
$υ = 50 Hz$
The inductive reactance is
$X_{L} = ω L$
$= 2 π υL = 2 \times 3.14 \times 50 \times 44 \times 1 0^{- 3}$
$= 13.82 Ω$
$∴ I_{r m s} = \frac{V _{r m s}}{X _{L}}$
$= \frac{220}{13.82}$
$= 15.9 A$

Q. A 44mH inductor is connected to 220V, 50Hz ac supply. The rms value of the current in the circuit is

12.8A

13.6A

15.9A

19.5A