Question

An inductor of 1H and negligible resistance is used on the mains of frequency 50Hz. Find the reactance of the inductor.



a. 3.14H

b. 314H

c. 3140H

d. 31.4H

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Answer 1

Answer:

3.14 H

Step-by-step explanation:

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Answer 2

Answer:

The Reactance of the inductor is 1H.

Step-by-step explanation:

Given that,An inductor of 1H and negligible resistance is used on the mains of frequency 50Hz.We are required to find the reactance of the inductor.

First we write the given terms in accordance with their symbols as follows-

$L=1H\\f=50Hz$

The reactance of an inductor is the product of its angular frequency and the inductance.Hence,mathematically we write it as $X_{L}=\omega L=2\pi fL$

Substituting the known value of the frequency and the inductance in the above relation,we get

$X_{L}=2\pi \times 50\times 1=3.14\times100=314H$

Hence,the reactance of the inductor is found to be 1H

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