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Derived Physical Constants Back

Dimension Derived constant SI value
Length L = (Gh/c3)1/2 4.05 × 10−35 m
Area A = Gh/c3 1.64 × 10−69 m2
Volume V = (G3h3/c9)1/2 6.64 × 10−104 m3
Time t = (Gh/c5)1/2 1.35 × 10−43 s
Mass m = hc/G 5.46 × 10−8 kg
Mass density ρm = c5/G2h 8.24 × 1095 kg/m3
Velocity v = c 3.00 × 108 m/s
Acceleration a = (c7/Gh)1/2 2.22 × 1051 m/s2
Force F = c4/G 1.21 × 1044 N
Pressure P = c7/G2h 7.41 × 10112 Pa
Linear momentum p = (hc3/G)1/2 1.64 × 101 N s
Angular momentum l = h 6.63 × 10-34 J s
Energy E = (hc5/G)1/2 4.91 × 109 J
Gravitational potential Vg = c2 9.00 × 1016 m2/s2
Power P = c5/G 3.64 × 1052 W
Radiation flux F = c8/G2h 2.22 × 10121 W/m2
Electric charge Q = e 1.60 × 10-19 C
Electric charge Q = (h/cμo)1/2 1.32 × 10-18 C
Charge density ρe = (e2c9/G3h3)1/2 2.41 × 1084 C/m3
Electric current I = (e2c5/Gh)1/2 1.19 × 1024 A
Current density J = (e2c11/G3h3)1/2 7.24 × 1092 A/m2
Electric field E = c4/Ge 7.59 × 1062 N/C
Magnetic field B = c3/Ge 2.53 × 1054 T
Electric potential V = (hc5/Ge2)1/2 3.90 × 1015 V
Magnetic potential Amag= (hc3/Ge2)1/2 1.02 × 1020 T m
Electric dipole moment μe= (Ghe2/c3)1/2 6.48 × 10-54 C m
Magnetic dipole moment μmag= (Ghe2/c)1/2 1.94 × 10-45 C m2/s
Electric resistance R = h/e2 2.59 × 104 Ω
Capacitance C = (Ge4/hc5)1/2 5.21 × 10-48 F
Magnetic flux ØB= h/e 4.14 × 10-15 T m2
Inductance H = (Gh3/e4c5)1/2 3.49 × 10-39 H

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