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Question

Physics Question on Alternating current

An inductor of 30mH30\,mH is connected to a 220V220\,V, 100Hz100\,Hz ac source. The inductive reactance is

A

10.58Ω10.58 \,\Omega

B

12.64Ω12.64\, \Omega

C

18.85Ω18.85\, \Omega

D

22.67Ω22.67\, \Omega

Answer

18.85Ω18.85\, \Omega

Explanation

Solution

Here, L=30mH=30×103HL = 30\, mH = 30 \times 10^{-3}\, H Vrms=220VV_{rms}=220\,V, υ=100Hz\upsilon=100\,Hz Inductive reactance, XL=ωL=2πυLX_{L}= \omega L =2\pi\upsilon L =2×3.14×100×30×103=2\times3.14\times100\times30\times10^{-3} =18.85Ω=18.85\,\Omega