OpenStax University Physics/E&M/Current and Resistance

$ℰ\mathrm{\&}ℳ$ (Vol. 2):Template:Spaces 5:Electric Charges and FieldsTemplate:Spaces 6:Gauss's LawTemplate:Spaces 7:Electric PotentialTemplate:Spaces 8:CapacitanceTemplate:Spaces 9:Current and ResistanceTemplate:Spaces 10:Direct-Current CircuitsTemplate:Spaces 11:Magnetic Forces and FieldsTemplate:Spaces 12:Sources of Magnetic FieldsTemplate:Spaces 13:Electromagnetic InductionTemplate:Spaces 14:InductanceTemplate:Spaces 15:Alternating-Current CircuitsTemplate:Spaces 16:Electromagnetic Waves

Chapter 9

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For quiz at QB/d_cp2.9

Template:Colbegin Electric current: 1 Amp (A) = 1 Coulomb (C) per second (s)

Current=$I=dQ/dt=nq{v}_{d}A$, where

$(n,q,v_d,A)$ = (density, charge, speed, Area)

$I=\int \overrightarrow{J}\cdot d\overrightarrow{A}$ where $\overrightarrow{J}=nq{\overrightarrow{v}}_d$ =current density.

$\overrightarrow{E}=\rho \overrightarrow{J}$ = electric field where $\rho$ = resistivity

$\rho ={\rho }_0[1+\alpha (T-T_0)]$, and $R=R_0[1+\alpha \mathrm{\Delta }T]$,

where $R=\rho \frac{L}{A}$ is resistance

$V=IR$ and Power=$P=IV=I^{2}R=V^2/R$ Template:Colend