PrepZii

formula

Capacitance, Stored Energy and Energy Density

The chapter starts with charge-potential relation, stored energy, and energy density.

q=CV

U=\frac{1}{2}CV^2=\frac{Q^2}{2C}=\frac{QV}{2}

u=\frac{1}{2}\epsilon_0\epsilon_rE^2=\frac{1}{2}\epsilon_0KE^2

Vacuum

u=\frac{1}{2}\epsilon_0E^2

$q$

charge

$C$

capacitance or heat capacity depending on context

$V$

potential difference or potential

$E$

electric field or energy depending on context