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) ${\frac {L}{R}}$

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