OpenStax University Physics/E&M/Sources of Magnetic Fields

$ℰ\mathrm{\&}ℳ$ (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 12

{{#lst:OpenStax University Physics/V2|12}}

For quiz at QB/d_cp2.12

Template:Colbegin Free space permeability ${\mu }_0=4\pi \times 10^{-7}$ T·m/A
Force between parallel wires $\frac{F}{\ell }=\frac{{\mu }_0{I}_1{I}_2}{2\pi r}$
Biot–Savart law $\overrightarrow{B}=\frac{{\mu }_0}{4\pi }\underset{wire}{\int }\frac{Id\overrightarrow{\ell }\times \hat{r}}{r^2}$
Ampère's Law:$\oint \overrightarrow{B}\cdot d\overrightarrow{\ell }=4\pi {\mu }_0{I}_{enc}$
Magnetic field inside solenoid with paramagnetic material =$B=\mu nI$ where $\mu =(1+\chi ){\mu }_0$= permeability
Template:Colend