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Question

Physics Question on Reactance

The reactance of an inductance of 0.01H0.01\, H to a 50Hz50 \,Hz A.C. is

A

1.04 Ω\Omega

B

6.28 Ω\Omega

C

0.59 Ω\Omega

D

3.14 Ω\Omega

Answer

3.14 Ω\Omega

Explanation

Solution

Given: Inductance (L)=0.01H(L)=0.01 H and frequency (n)=50Hz(n)=50 Hz. We know that the reactance (XL)=ωL=\left(X_{ L }\right)=\omega L= 2πn×L=2×π×50×0.01=3.14Ω2 \pi n \times L=2 \times \pi \times 50 \times 0.01=3.14\, \Omega