Inductive reactance formula and Calculation

In this article, we will discuss the Inductive reactance formula and Calculation. Dear Student Wellcome To Academy24x7 is a Global Online Learning Platform. Here You Can Find Your Engineering Academy Study Related Question and answer with Us.

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inductive reactance formula

In this post, we will learn about inductive reactance and its properties. The concept of inductive reactance is very similar to the concept of resistive reactance. Just like resistive reactance, inductive reactance is also a form of opposition to the current flow in a circuit…

Brief History The phenomenon of inductive reactance or induction was discovered by Michael Faraday in 1831 when he discovered that a changing magnetic field induces an electric current in a closed circuit. The phenomenon of induction is the production of an electric current in a closed circuit when it is exposed to a changing magnetic field. The quantity that describes how much current is produced in a closed circuit when it is exposed to a changing magnetic field is called inductive reactance.

what Is Inductive Reactance? To answer this question you need to know the meaning of inductance and reactance. The amount of current that a wire can produce is known as its inductance and reactance is the property to oppose, getting confused let me explain when a current-carrying conductor link itself by its magnetic flux then induction happens,s and due to which an opposition force is created which we can call reactance.

Formulas and derivation:-

In the above circuit, an inductor is directly connected to an ac source and here ac current is flowing through the circuit. Now let’s discuss the parameter –

According to Faradays Law of Electromagnetic Induction

VL = - L * (dIL / dt)

here dIL/dt represents the rate of change of current through inductor

Now if we want to calculate inductive reactance it depends upon two things  f and L

XL = 2 * π * f * L

ω=2*π*f

XL=ωL

ω=angular frequency

V=ac source voltage

IL=current flowing through the inductor

VL=voltage developed across inductor

L=inductance of the coil

f= frequency of the ac source 

XL=inductive reactance

Φ=flux linkage

After calculating inductive reactance we can calculate the average current in the circuit by using ohm law

I = V / XL

Unit of Inductive Reactance –

XL=2*π*f*L

=constant*(1/sec)*henry

=constant*(1/sec)*[volt/(amp/sec)]

=constant*(volt/amp)

=exactly the unit of resistance (ohm)

=Ω

Inductive reactance obey all the property of resistance also in a circuit it used to drop the voltage and give linear graph like resistance.

FAQ

Now after all this discussion you may have some doubt or question which are frequently asked in interview or viva let me clear those-

What is the inductive reactance in DC circuit?

Zero. Because inductive reactive is proportional to the frequency of the current or voltage. But in the case of dc there is no frequency thats why inductive reactance is zero for dc circuit.

 difference between inductive reactance and capacitive reactance?

  • Inductive reactance is the opposition which occur in a circuit in the presence of inductor whereas capacitive resistance is occur in the circuit if capacitor is present there.
  • Inductive reactance is proportional to the frequency but capacitive reactance is inversely proportional to the frequency.

How to calculate inductance from reactance?

     just follow 2 step

  1. Multiply the frequency of the AC signal with .
  2. Divide the reactance by the value from step 1.
  3. You have calculated inductance from reactance!

What is the SI unit of inductive reactance?

Ohm. yeah, same as resistance.

 

I hope you have found the answers to all your questions through this post. About inductive reactance formula After that, if you have any questions, you can comment in our comment box.

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