8 |  inductor

What is inductor? 


The symbol for inductance, in honor of the physicist Heinrich Lenz. In the SI system, the unit of inductance is the Henry (H), which is the amount of inductance that causes a voltage of one volt, when the current is changing at a rate of one ampere per second. 

Figure 1 inductor 

Figure 2 symbol

Inductor Principles 

Basically, it uses a conductor that is wound into a coil, and when electricity flows into the coil from the left to the right, this will generate a magnetic field in the clockwise direction. 

Figure 1 inductor

Inductor Operations and characteristics 

Types of Inductors  

Figure 4 symbol in circuits

Inductor applications

Inductors have various uses in electrical transmissions based on their requirements.

Inductors in Series

Inductors can be connected together in a series connection when the are daisy chained together sharing a common electrical current.

The current, ( I ) that flows through the first inductor, L1 has no other way to go but pass through the second inductor and the third and so on. Then, series inductors have a common current flowing through them.     

 Total current ILt = IL1 = IL2 = IL3

Total inductance,      Lt = IL1 + IL2 + IL3

Inductors in Parallel 

When inductors are connected together in parallel so that the magnetic field of one links with the other, the effect of mutual inductance either increases or decreases the total inductance depending upon the amount of magnetic coupling that exists between the coils. 

The voltage drop across all of the inductors in parallel will be the same.  

Then, Inductors in Parallel have a common voltage across them.

Total inductance voltage,  VLt = VL1 = VL2 = VL3

Total inductance,  

 Lt =  1 ÷ ((1÷ L1) + (1÷ L2) + (1÷ L3))

Inductor in AC  -  Inductive Reactance 

Like resistance, reactance is measured in Ohm's but is given the symbol “X” to distinguish it from a purely resistive “R” value and as the component in question is an inductor, the reactance of an inductor is called Inductive Reactance, ( XL ) and is measured in Ohms. Its value can be found from the formula. 




Formula:   

         XL ( Ω )  = 2 x π  x Freq x L           

where;

π (pi) = 3.14   

Freq - supply frequency 

L  - inductor value in unit henry (H)

Example calculation 

Example 1 :  Inductor in series 


Three loads connected in series with the value of L1=0.5,  L2=0.25, L3=0.8 find the following value.

 

Find the total inductance  Lt ?     L t =  L1 + L2 + L3 

                    

           Answer solutions  :                 Lt = 0.5 + 0.25 + 0.8   =  1.55 H      (or henry)


Example 2Inductor in parallel


Three loads connected in series with the value of L1=0.15,  L2=0.25, L3=0.4 find the following value.

 

Find the total inductance  Lt ?     L t =  1÷ ((1/L1) + (1/L2) + (1/L3)) 

                    

           Answer solutions  :                 Lt = 1 ÷ ((0.15) + (1÷0.25) + (1÷0.4))   =   0.075 H      (or henry)


Example 3 :  Inductive reactance calculation 

      Given the value of F=50Hz, L=0.35H, calculate the inductive reactance. 

           Solution :     XL ( Ω )  = 2 x π  x Freq x L      

                                 =  2 x 3.14  x 50hz x 0.35H   =   109.9  Ω