All Inductance Formula Analysis

Inductance Formula Analysis

An inductor is a passive element. The inductor is used in all electrical circuits. We already posted an article about Inductor and Inductance you can read. Today we are going to know all Inductance Formula. Inductance formula is very very important for us.
So let's start Inductance Formula from basics.

We already know that when the flow of current through a coil is changing with time an EMF is induced in the coil and the induced EMF is proportional to the rate of change of the flowing current with time.

so we can write,

Now, 

Here L= Inductance
This is the basic inductance formula.

The equation of current in Inductor is,

The formula of power in Inductor is,

The energy storing formula of Inductor = 

The Formula of self-inductance,

Here, L= self-inductance
         N= No. of turns
         l (small L)= length of the wire
        A= area of each turn

So we can write,

Inductance Formula of Series Inductor circuit:

If a circuit consists 'n' no. of inductors in series then the equivalent inductance of the circuit will be,

We know that the voltage drop across in one inductor is,

So according to Kirchhoff's Voltage Law, the total voltage drop across the circuit will be,

Now we can write,

Inductance Formula of Parallel Inductor circuit:

If 'n' no of inductors are connected in parallel the equivalent inductance will be,

As it is a parallel the voltage across each inductor will be the same, but current will be different.
The current in each inductor is,

                                L₁=i_1, L₂=i_2, L₃=i_3, L_n=i_n

According to Kirchhoff's Current Law,

     The total current               i=i₁+i₂+i₃+.........+i_n

Now,

These are the Inductance Formula.

Read Also:

• What is Inductor? What is Inductance?

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