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Coulomb’s Law
F=kqq/r²
Coulomb’s constant
K=1/4πε=8.99E9
Electric Force/Field
F=qE
Electric Potential Energy/Voltage
ΔU=qΔV
Closed surface electric field (Gauss’ Law)
∯E*da=Q(enclosed)/ε
Voltage/Electric Field
ΔV=-∫E*ds
Electric field/Voltage
E=-dV/ds
Point charge electric field
E=kq/r²
Electric field set of point charges
E=ΣEi
Electric field infinite plane of charge/parallel plate capacitor
E=η/2ε, E(paralell plates)=η/ε (away if +, toward if -)
Electric Potential Energy for 2 point charges
U=kqq/r
Voltage for a point charge
V=kq/r
Total voltage for a set of point charges
V=ΣV
Voltage across parallel plate capacitor
V=Ed
Voltage/Capacitance
ΔV=Q/C
Potential Energy/Capacitance/Voltage
U=(1/2)CV²
Capacitance in parallel
C=C1+C2+C3+…
Capacitance in series
1/C=1/C1+1/C2+1/C3+…
Dipole moment
p=qs (- to +)
Torque
τ=pxE
Potential Energy/dipole/field
U=-p*E
Series vs Parallel
Series: all have same charge, Parallel: all have same voltage