OpenStax University Physics/E&M/Direct-Current Circuits

$ℰ\mathrm{\&}ℳ$ (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 10

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For quiz at QB/d_cp2.10

Template:Colbegin $V_{terminal}=\epsilon -I{r}_{eq}$ where $r_{eq}$=internal resistance and $\epsilon$=emf.

$R_{series}=\sum _{i=1}^N{R}_i$ and $R_{parallel}^{-1}=\sum _{i=1}^N{R}_i^{-1}$

Kirchhoff Junction:$\sum I_{in}=\sum I_{out}$ and Loop: $\sum V=0$

Charging an RC (resistor-capacitor) circuit: $q(t)=Q(1-e^{t/\tau })$ and $I=I_0{e}^{-t/\tau }$ where $\tau =RC$ is RC time, $Q=\epsilon C$ and $I_0=\epsilon /R$.

Discharging an RC circuit: $q(t)=Q{e}^{-t/\tau }$ and $I(t)=-\frac{Q}{RC}{e}^{-t/\tau }$ Template:Colend