# 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 ${\displaystyle V=IR}$  ${\displaystyle I={\frac {V}{R}}}$  0 Z = R
Capacitor C ${\displaystyle V={\frac {1}{C}}\int Idt}$  ${\displaystyle I=C{\frac {dV}{dt}}}$  ${\displaystyle X={\frac {1}{\omega C}}/_{-}90={\frac {1}{j\omega C}}={\frac {1}{sC}}}$  ${\displaystyle Z=R+X=R+{\frac {1}{j\omega C}}}$
Inductor L ${\displaystyle V=L{\frac {dI}{dt}}}$  ${\displaystyle I={\frac {1}{L}}\int Vdt}$  ${\displaystyle X=\omega L/_{-}90=j\omega L=sL}$  ${\displaystyle Z=R+X=R+j\omega L}$

## Series Circuit

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

## Parallel Circuit

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