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 dI_L/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

X_L=ωL

ω=angular frequency

V=ac source voltage

I_L=current flowing through the inductor

V_L=voltage developed across inductor

L=inductance of the coil

f= frequency of the ac source 

X_L=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 –

X_L=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-