Wednesday 1 July 2015

Inductor (L)

Inductor

Inductor is an electrical component that stores energy in magnetic field.
The inductor is made of a coil of conducting wire.
In an electrical circuit schematics, the inductor marked with the letter L.
The inductance is measured in units of Henry [L].
Inductor reduce current in AC circuits and short circuit in DC circuits.

Inductor symbols

Inductor
Iron core inductor
Variable inductor

Inductors in series

For several inductors in series the total equivalent inductance is:
LTotal = L1+L2+L3+...

Inductors in parallel

For several inductors in parallel the total equivalent inductance is:
\frac{1}{L_{Total}}=\frac{1}{L_{1}}+\frac{1}{L_{2}}+\frac{1}{L_{3}}+...

Inductor's voltage

v_L(t)=L\frac{di_L(t)}{dt}

Inductor's current

i_L(t)=i_L(0)+\frac{1}{L}\int_{0}^{t}v_L(\tau)d\tau

Energy of inductor

E_L=\frac{1}{2}LI^2

AC circuits

Inductor's reactance
XL = ωL
Inductor's impedance
Cartesian form:
ZL = jXL = jωL
Polar form:
ZL = XL∠90º
                                                                             #Team Circuitready
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