Practical Electronics/Inductors


IntroEdit

An inductor is a device made from a wire conductor with several turns. This device generates a magnetic field as current passes through it similar to the magnetic field of a magnet. An inductor stores electrical energy in the form of a magnetic field.

Inductance is defined as the capability to store electrical energy in the form of a magnetic field for a given current which is directly proportional to permability, length of inductor, and number of turns and inversely proportional to cross-sectional area.

 

The symbol for inductance is L and is measured in Henry which has the symbol H.

CharacteristicsEdit

Magnetic FieldEdit

When a voltage is applied across the inductor, current generates Electric Field . Change of Electric Field in the turns generates Magnetic Field perpendicular to Electric Field

 

InductanceEdit

Inductance is the ability to generartes Magnetic Field B for a given Current

 

VoltageEdit

 

CurrentEdit

 

ReactanceEdit

Reactance is defined as the ratio of Voltage over current

 
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ImpedanceEdit

Impedance is defined as the sum of Reactance and Resistance of Inductor . Since all conductor has Resistance

 
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Frequency RespondEdit

Inductor is a device depends on frequency  

  •  , Inductor Closed circuit, I ≠ 0
  •  , Capacitor Opened circuit, I = 0
  •  
  ,
  ,
 
 

With the value of I at three frequency points ω = 0, 00 , 1 / CRC I - f curve can be drawn to give a picture of current in the inductor over time

Phase AngleEdit

When a Voltage is applied across inductor, current generates magnetic field. Change in current generate change in magnetic field which generate voltage across inductor. Therefore, current will lead voltage

For ideal losses inductor which has no internal resistance, Current will lead Voltage an angle 90 . For Non - Ideal inductor which has an internal resistance, Current will lead Voltage an angle θ

 

Phase angle relates to time frequency or time and the value of R and L . When there is a change in phase angle Time and frequency also change

 
 

If choosing L = 1 and R = 10n then the formulas above become

 
 

Induced VoltageEdit

Induced Voltage is defined as the voltage of the turns which oppose the current flow


 

Types of InductorsEdit

CoilEdit

For a straight wire with the following dimensions Length l, Area A, and Permitivity u and number of Turns N

 

NetworkEdit

Inductors can be connected in series to increase inductance or in parallel to decrease inductance

Parallel ConnectionEdit

 
 


Series ConnectionEdit

 
 

ReferenceEdit