Electronics/Formulas

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 = Ro + N T


 * For Semi Conductor
 * $$R = R_o e^NT$$

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
 * $$P_v = I V$$


 * 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

 * $$W = P \cdot t$$


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