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

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