Planck Units - Derived Planck Units

Derived Planck Units

In any system of measurement, units for many physical quantities can be derived from base units. Table 3 offers a sample of derived Planck units, some of which in fact are seldom used. As with the base units, their use is mostly confined to theoretical physics because most of them are too large or too small for empirical or practical use and there are large uncertainties in their values (see Discussion and Uncertainties in values below).

Table 3: Derived Planck units
Name Dimension Expression Approximate SI equivalent
Planck area Area (L2) 2.61223 × 10−70 m2
Planck volume Volume (L3) 4.22419 × 10−105 m3
Planck momentum Momentum (LMT−1) 6.52485 kg m/s
Planck energy Energy (L2MT−2) 1.9561 × 109 J
Planck force Force (LMT−2) 1.21027 × 1044 N
Planck power Power (L2MT−3) 3.62831 × 1052 W
Planck density Density (L−3M) 5.15500 × 1096 kg/m3
Planck angular frequency Frequency (T−1) 1.85487 × 1043 s−1
Planck pressure Pressure (L−1MT−2) 4.63309 × 10113 Pa
Planck current Electric current (QT−1) 3.4789 × 1025 A
Planck voltage Voltage (L²MT−2Q−1) 1.04295 × 1027 V
Planck impedance Resistance (L2MT−1Q−2) 29.9792458 Ω

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