Elementary charge
e = 1.6 x 10^19 C
Coulomb’s Law
Coulomb’s constant
k = 9 x 10^9 N•m^2/C^2
Electric force on a charge
F(e) = qE
Electric field created by a point charge
E = (k|Q|) / r^2
Electric potential at a point
Φ = (kQ) / r
Electric potential energy
∆PE(e) = q∆Φ = qV
Voltage of battery
V = ∆Φ
Capacitance
C = (kε(o))(A/d)
Charge on a capacitor
Q = CV
Energy stored by a capacitor
PE = 1/2(QV) = 1/2CV^2 = (Q^2)/2C
Electric field in a capacitor
V = Ed
Capacitance enhanced by dielectric
C = kC(o)
Flow rate of charge
I = ∆Q/∆t
Ohm’s Law
V = IR
Resistance and resistivity
R = rho (L/A) ; R = resistance, rho = resistivity
Resistance for resistors in series
R(eq) = R(1) + R(2) +…
Capacitance for capacitors in series
1/(C(eq)) = 1/(C1) + 1/(C2) + …
Resistance for resistors in parallel
1/(R(eq)) = 1/(R1) + 1/(R2) +…
Capacitance for capacitors in parallel
C(eq) = C(1) + C(2) + …