OpenStax University Physics/E&M/Capacitance

$ℰ\mathrm{\&}ℳ$ (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 8

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For quiz at QB/d_cp2.8

Template:Colbegin $Q=CV$ defines capacitance.

$C={\epsilon }_0\frac{A}{d}$ where A is area and d<<A^1/2 is gap length of parallel plate capacitor

$\text{Series}:\frac{1}{C_S}=\sum \frac{1}{C_i}.$   $\text{ Parallel:}{C}_P=\sum C_i.$

$u=\frac{1}{2}QV=\frac{1}{2}C{V}^2=\frac{1}{2C}{Q}^2$ = stored energy

$u_E=\frac{1}{2}{\epsilon }_0{E}^2$ = energy density Template:Colend