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

Answer 1

Answer: (C)

15.9 A

Answer 2

: Here, , $L = 44mH = 44 \times 10^{- 3}H$

$V_{rms} = 220V,\upsilon = 50Hz$

The inductive reactance is ,

$X_{L} = \omega L = 2\pi\upsilon L = 2 \times 3.14 \times 50 \times 44 \times 10^{- 3} = 13.82\Omega$

$\therefore I_{rms} = \frac{V_{rms}}{X_{L}} = \frac{220}{13.82} = 15.9A$