## 06/08/2021

### If several number of turns are wound over the core, it is generally called as Inductor.

• There are no power loss in the pure inductor.
• The core of magnetic material has negligible loop area is used in order to make inductor.
• The core magnetic material is made of thin laminations in order to reduce eddy current loss in the inductor or we can say that core material has high resistivity.

### Equation of inductor

• Let us consider that a coil is made of N number of turns.
• If current I flows through coil, flux Φ weber produced in it. This flux links with N number of turns.
• Flux linkage = N Φ
• Inductance L = N Φ / I
• Flux Φ = BA
• Therefore inductance L = N BA / I……… ( 1 )
• Flux density B = µH

= µ0 µrH ……… ( 2 )

From equation ( 1 ) and ( 2 )

L = N ( µ0 µrH ) A / l

= N ( µ0 µrH ) A / l

= ( µ0 µr )NHA / I

Putting H = NI / L

L = ( µ0 µr )( N2A ) / L

 L = ( µ0 µr )( N2A ) / L

• We can say that the inductance depends upon number of turns and permeability of the core.
• If the area and length of core is constant, the inductance is directly proportional to square of number of turns.

### L α ( N2 )

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