Electronics/Formulas

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Conductor's Properties

Voltage

$V={\frac {W}{Q}}$

Current

$I={\frac {Q}{t}}$

Energy

$E={\frac {W}{t}}={\frac {W}{Q}}{\frac {Q}{t}}=V\cdot I$

Conductance

$Y={\frac {I}{V}}={\frac {1}{R}}$

Resistance

$R={\frac {V}{I}}={\frac {1}{Y}}$

Resistance and Temperture

Resistance of a conductor increase with increasing temperature

For Conductor

R = R_o + N T

For Semi Conductor

$R=R_{o}e^{N}T$

Ohm's Law

Resistance

$R={\frac {V}{I}}$

Voltage

$V=I\cdot R$

Current

$I={\frac {V}{R}}$

Power

$P=I\cdot V$

Power Delivered

Electric Power delivered through resistive network is equal to Electric Power Supply minus Electric Power Loss as Heat through resistance of the resistive network

Electric Power Supply

$P_{v}=IV$

Electric Power Loss

$P_{r}=I^{2}R={\frac {V^{2}}{R}}$

Electric Power Delivered

$P=P_{v}-P_{r}$

$P=IV-I^{2}R=I(V-IR)$

$P=IV-{\frac {V^{2}}{R}}=V\left(I-{\frac {V}{R}}\right)$

Work Done

$W=P\cdot t$

$W=F\cdot s$

$W=F\cdot s\cdot \cos \theta$