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Conductor's Properties

Voltage

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

Current

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

Energy

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

Conductance

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

Resistance

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

Resistance and Temperture

Resistance of a conductor icrease with increasing temperature

For Conductor

R = R_o + N T

For Semi Conductor

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

Ohm's Law

Resistance

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

Voltage

${\displaystyle V=I\cdot R}$

Current

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

Power

${\displaystyle P=I\cdot V}$

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

${\displaystyle P_{v}=IV}$

Electric Power Loss

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

Electric Power Delivered

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

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

${\displaystyle P=IV-{\frac {V^{2}}{R}}=V(I-{\frac {V}{R}}}$

Work Done

${\displaystyle W=P\cdot t}$

${\displaystyle W=F\cdot s}$

${\displaystyle W=F\cdot s\cdot \cos \theta }$