Practical Electronics/Parallel RL

Summary

Circuit	Symbol	Series	Parallel
RL		An RL parallel circuit
Impedance	Z	$Z_t=R+\omega L$	$Z_t=\frac{\omega RL}{R+\omega L}$
Voltage	V	$V=IR+L\frac{dI}{dt}$	$I=\frac{V}{R}+\frac{1}{C}\int Vdt$
Current	I	$\frac{dI}{dt}=(V-IR)\frac{1}{L}$	$\int Vdt=C(I-\frac{V}{R})$
Phase Angle	I	tan θ = $\omega \frac{L}{R}$ = 2πf $\frac{L}{R}$ f = (Tanθ/2π)$\frac{R}{L}$ t = (2π/Tanθ)$\frac{L}{R}$	tan θ = $\omega \frac{L}{R}$ = 2πf $\frac{L}{R}$ f = (Tanθ/2π)$\frac{R}{L}$ t = (2π/Tanθ)$\frac{L}{R}$