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