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Key Equations

Capacitance C=QVC=QV
Capacitance of a parallel-plate capacitor C=ε0AdC=ε0Ad
Capacitance of a vacuum spherical capacitor C=4πε0R1R2R2R1C=4πε0R1R2R2R1
Capacitance of a vacuum cylindrical capacitor C=2πε0lln(R2/R1)C=2πε0lln(R2/R1)
Capacitance of a series combination 1CS=1C1+1C2+1C3+1CS=1C1+1C2+1C3+
Capacitance of a parallel combination CP=C1+C2+C3+CP=C1+C2+C3+
Energy density uE=12ε0E2uE=12ε0E2
Energy stored in a capacitor UC=12V2C=12Q2C=12QVUC=12V2C=12Q2C=12QV
Capacitance of a capacitor with dielectric C=κC0C=κC0
Energy stored in an isolated capacitor with
dielectric
U=1κU0U=1κU0
Dielectric constant κ=E0Eκ=E0E
Induced electrical field in a dielectric Ei=(1κ1)E0Ei=(1κ1)E0
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