OpenStax University Physics/E&M/Electric Charges and 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 5

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For quiz at QB/d_cp2.5

Template:Colbegin ${\epsilon }_0=$ 8.85×10⁻¹² F/m = vacuum permittivity.

e = 1.602×10⁻¹⁹C: negative (positive) charge for electrons (protons)

$k_e=\frac{1}{4\pi {\epsilon }_0}=$ = 8.99×10⁹ m/F

$\overrightarrow{F}=Q\overrightarrow{E}$ where $\overrightarrow{E}=\frac{1}{4\pi {\epsilon }_0}\sum _{i=1}^N\frac{q_i}{r_{Pi}^2}{\hat{r}}_{Pi}$

$\overrightarrow{E}=\int \frac{dq}{r^2}\hat{r}$ where $dq=\lambda d\ell =\sigma da=\rho dV$

$E=\frac{\sigma }{2{\epsilon }_0}$ = field above an infinite plane of charge. Template:Colend