Basic Electronics - Inductance & Inductors

Ashok R 07:33 Power Electronics

Inductors and Inductance: An Explanation Formula - 1 (Faraday's Law) Where, is Induced voltage/Potential Difference, in ...

Inductors and Inductance: An Explanation

Formula - 1 (Faraday's Law)

$V\underset{ind}{}=-NBA(t)$

Where,

$V\underset{ind}{}$ is Induced voltage/Potential Difference, in Volt
$N$ is Number of turns of the Coil
$B$ is Magnetic Field of the Coil, in Tesla
$A$ is Cross-sectional Area of the Coil, in Square Meter
$t$ is Time Constant, in Second

Formula - 2 (Magnetic Field of a Coil)

$B\underset{coil}{}=\mu\underset{0}{}\frac{NI}{l}$

Where,

$B\underset{coil}{}$ is Magnetic Field of the coil, in Tesla
$\mu\underset{0}{}$ is Permeability Constant, 4π × 10-7 Tesla·Meter/Ampere (=1 Henry/Meter)
$N$ is Number of turns of the Coil
$I$ is Current, in Ampere
$l$ is Length of the coil, in Meter

Formula - 3 (Inductance of an Inductor)

$L\underset{coil}{}=\mu\underset{0}{}\frac{N^2A}{l}$

Where,

$L\underset{coil}{}$ is the Inductance of the Coil, in Henry
$\mu\underset{0}{}$ is Permeability Constant, 4π × 10-7 Henry/Meter (Henry/Meter=Tesla·Meter/Ampere)
$N$ is Number of turns of the Coil
$A$ is Cross-sectional Area of the Coil, in Square Meter
$l$ is Length of the coil, in Meter

Formula - 4 (Self Induced Voltage of an Inductor)

$V\underset{ind}{}=-L\frac{\Delta{I}}{t}$

Where,

$V\underset{ind}{}$ is the self-induced Voltage of the Inductor, in Volt
$L$ is Inductance of the Coil, in Henry
$I$ is Current, in Ampere
$t$ is Time, in Second

Formula - 3(a) (Inductance of an Inductor)

$L=\frac{V\underset{ind}{}}{\frac{\Delta I}{t}}$

Where,

$L$ is Inductance of the Coil, in Henry
$V\underset{ind}{}$ is the self-induced Voltage of the Inductor, in Volt
$I$ is Current, in Ampere
$t$ is Time, in Second

SI unit of Inductance is Henry, which can also be denoted as;

$\frac{Weber}{Ampere}$
$\frac{Volt\times{Second}}{Ampere}$
$\frac{Joule}{Ampere^2}$
$Ohm\times{Second}$

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