Practical Electronics/Circuits Analysis

Circuit Analysis

The resistors and inductors were both using the same formula when they are connected in the circuits See: Parallel and Series Connection

R.L,C Components

Below is the summary of the three components R , L , and C

Components	Symbol	Voltage V	Current I	Reactance X	Impedance Z
Resistor	R	$V=IR$	$I={\frac {V}{R}}$	0	Z = R
Capacitor	C	$V={\frac {1}{C}}\int Idt$	$I=C{\frac {dV}{dt}}$	$X={\frac {1}{\omega C}}/_{-}90={\frac {1}{j\omega C}}={\frac {1}{sC}}$	$Z=R+X=R+{\frac {1}{j\omega C}}$
Inductor	L	$V=L{\frac {dI}{dt}}$	$I={\frac {1}{L}}\int Vdt$	$X=\omega L/_{-}90=j\omega L=sL$	$Z=R+X=R+j\omega L$

Series Circuit

With three components R, L, C, connected in series we have the following circuits

1. Series RC
2. Series RL
3. Series LC
4. Series RLC

Parallel Circuit

With three components R, L, C, connected in parallel we have the following circuits

1. Parallel RC
2. Parallel RL
3. Parallel LC
4. Parallel RLC

Filters

1. Low Pass Filter
2. High Pass Filter
3. Band Pass Filter

Oscillators

1. Sin Wave Oscillator
2. Decreasing Sin Wave Oscillator
3. Standing Wave Oscillator