Electronics Bible/Inductor

Inductor is an electronics device made from a coil of many circular loops that can store energy as Magnetic field

Inductance

Inductance represents inductor's capability to store energy as Magnetic field . Inductor has a symbol $L$ and measured in unit Henry $H$

$L={\frac {B}{i}}$

Inductor can be made from a coil of many circular loops that has inductance

$L=\mu i{\frac {Nl}{A}}$

From above

$L={\frac {B}{i}}=\mu i{\frac {Nl}{A}}$

$\mu ={\frac {B}{i^{2}}}{\frac {A}{Nl}}$

Electricity response of inductor

Inductor and DC electricity

Electric charge

$B=LI$ . Ampere's law

Capacitance

$I={\frac {B}{L}}$

Voltage

$L={\frac {B}{I}}$

Inductor and AC electricity

Voltage

$v(t)=L{\frac {d}{dt}}i(t)$

Current

$i(t)={\frac {1}{L}}\int v(t)dt$

Power

$p(t)={\frac {1}{2}}Li^{2}(t)$

Impedance

$Z={\frac {v(t)}{i(t)}}=R_{L}+X_{L}=R+\omega L\angle 90=R+j\omega L=R+sL$

Reactance

$X_{L}=\omega L\angle 90=j\omega L=sL$

Phase angle

$Tan\theta =\omega T$

Time constant

$T={\frac {L}{R}}$