Question

At what frequency will a 1H inductor have reactance of 500 ohms

Answer 1

Solution :

Given :-

▪Inductance of inductor = 1H

▪Inductive Reactance of inductor = 500Ω

To Find :-

▪Frequency of alternating current.

Formula :-

▪ Formula of inductive reactance for an AC circuit containing inductor only is given by

$\underline{\boxed{\bf{\orange{X_L=\omega L = 2\pi{f}\times L}}}}$

• X$_L$ denotes inductive reactance
• L denotes inductance
• ω denotes angular frequency
• f denotes frequency

Calculation :-

$\implies\sf\:X_L=2\pi{f}L\\ \\ \implies\sf\:500=2(3.14)(1)\times f\\ \\ \implies\sf\:f=\dfrac{500}{6.28}\\ \\ \implies\underline{\boxed{\bf{\pink{f=79.62\:Hz}}}}$

Answer 2

Hello !

Given:-

Inductance of indicator = 1 H

inductive reactance of conductor = 5000 ohm.

To find:-

frequency of alternating current

Formula to be used:-

$\huge \fbox \blue{XL= ωL = 2πfL}$

Solution:-

$\implies$ $X_{L}$ = 2πfL

$\implies$ 500 = 2(3.14)f(1)

$\implies$ 500 = 6.28f

$\implies$ f = $\dfrac{500}{6.28}$

$\implies$ f = 79.62 Hz.