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Question

Question: An inductor of 30 mH is connected to a 220 V, 100 Hz ac source. The inductive reactance is...

An inductor of 30 mH is connected to a 220 V, 100 Hz ac source. The inductive reactance is

A

10.58 Ω10.58\ \Omega

B

12.64 Ω12.64\ \Omega

C

18.85 Ω18.85\ \Omega

D

22.67 Ω22.67\ \Omega

Answer

18.85 Ω18.85\ \Omega

Explanation

Solution

: Here, , L=30mH=30×103HL = 30mH = 30 \times 10^{- 3}H

Vrms=220V,υ=100HzV_{rms} = 220V,\upsilon = 100Hz

Inductive reactance,

XL=2πυL=2×3.14×100×30×103=18.85ΩX_{L} = 2\pi\upsilon L = 2 \times 3.14 \times 100 \times 30 \times 10^{- 3} = 18.85\Omega