Formulas

# Formulas - Updated Vectors are in bold Fundamental...

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Updated: August 16, 2011 ? Vectors are in bold . Fundamental Constants ² 0 = 8.85 × 10 - 12 C 2 /N·m 2 μ 0 = 4 π × 10 - 7 T·m/A k = 1 4 π² 0 = 8.99 × 10 9 N·m 2 /C 2 e = 1.60 × 10 - 19 C m p = 1.67 × 10 - 27 kg m e = 9.11 × 10 - 31 kg c = 3.00 × 10 8 m/s R = 1.10 × 10 7 m - 1 h = 6.63 × 10 - 34 J·s = 4.14 × 10 - 15 eV·s ~ = 1.05 × 10 - 34 J·s = 6.58 × 10 - 16 eV·s Point Charges F = 1 4 π² 0 q 1 q 2 r 2 ˆ r E = 1 4 π² 0 q r 2 ˆ r U = 1 4 π² 0 q 1 q 2 r V = 1 4 π² 0 q r Fields/Forces F = q E ( V a - V b ) = Z b a E · d l E x =- V x Φ = I E · d A = Q enc ² 0 Capacitance C = Q V = ² 0 A d 1 C series = 1 C 1 + 1 C 2 + 1 C 3 +··· C parallel = C 1 + C 2 + C 3 +··· U = Q 2 2 C = 1 2 CV 2 = 1 2 QV u = 1 2 ² 0 E 2 C = KC 0 = K ² 0 A d = ² A d Current/Resistance/EMF I = dQ dt ρ ( T ) = ρ 0 £ 1 + α ( T - T 0 ) / R = ρ L A V = IR V = E - Ir P = IV = I 2 R = V 2 R Direct Current Circuits R series = R 1 + R 2 + R 3 +··· 1 R parallel = 1 R 1 + 1 R 2 + 1 R 3 +··· X I = 0, X V
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