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BASE PLANCK UNITS

Normalizing to 1 the numerical values of the five fundamental constants above defines the following five base units for time, length, mass, charge, and temperature.

  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_length" class="copylinks">Planck Length '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Length" class="copylinks">Length (L)


  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E-35_m" class="copylinks">161624 × 10<sup>-35</sup> M
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_mass" class="copylinks">Planck Mass '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Mass" class="copylinks">Mass (M)


  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E-8_kg" class="copylinks">217645 × 10<sup>-8</sup> Kg
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_charge" class="copylinks">Planck Charge '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Electric_charge" class="copylinks">Electric Charge (Q)
  <math>q P \sqrt{\hbar c 4 \pi \epsilon_0} </math>
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E-18_C" class="copylinks">18755459 × 10<sup>-18</sup> C
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_temperature" class="copylinks">Planck Temperature '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Temperature" class="copylinks">Temperature (&Theta)


  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E30_K" class="copylinks">141679 × 10<sup>32</sup> K


  { Border "1" cellspacing="0" cellpadding="2">
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E9_J" class="copylinks">19561 × 10<sup>9</sup> J
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_force" class="copylinks">Planck Force '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Force" class="copylinks">Force (MLT<sup>-2</sup>)
  <math>F P rac{E_P}{l_P} = rac{c^4}{G} </math>
  121027 &times 10<sup>44</sup> "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Newton" class="copylinks">N
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_power" class="copylinks">Planck Power '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Power_(physics)" class="copylinks">Power (ML<sup>2</sup>T<sup>-3</sup>)
  <math>P P rac{E_P}{t_P} = rac{c^5}{G} </math>
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E52_W" class="copylinks">362831 × 10<sup>52</sup> W
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_density" class="copylinks">Planck Density '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Density" class="copylinks">Density (ML<sup>-3</sup>)
  <math> Ho P rac{m_P}{l_P^3} = rac{c^5}{\hbar G^2} </math>
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E96" class="copylinks">515500 × 10<sup>96</sup> Kg/m<sup>3</sup>
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_angular_frequency" class="copylinks">Planck Angular Frequency '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Frequency" class="copylinks">Frequency (T<sup>-1</sup>)


  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E43_Hz" class="copylinks">185487 × 10<sup>43</sup> S<sup>-1</sup>
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_pressure" class="copylinks">Planck Pressure '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Pressure" class="copylinks">Pressure (ML<sup>-1</sup>T<sup>-2</sup>)
  <math>p P rac{F_P}{l_P^2} = rac{c^7}{\hbar G^2} </math>
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Orders_of_magnitude_(pressure)" class="copylinks">463309 × 10<sup>113</sup> Pa
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_current" class="copylinks">Planck Current '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Current_(electricity)" class="copylinks">Electric Current (QT<sup>-1</sup>)


  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E25_A" class="copylinks">34789 × 10<sup>25</sup> A
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_voltage" class="copylinks">Planck Voltage '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Voltage" class="copylinks">Voltage (ML<sup>2</sup>T<sup>-2</sup>Q<sup>-1</sup>)
  <math>V P rac{E_P}{q_P} = \sqrt{ rac{c^4}{G 4 \pi \epsilon_0} } </math>
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/1_E27_V" class="copylinks">104295 × 10<sup>27</sup> V
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Planck_impedance" class="copylinks">Planck Impedance '''
  "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Electrical_resistance" class="copylinks">Resistance (ML<sup>2</sup>T<sup>-1</sup>Q<sup>-2</sup>)
  <math>Z P rac{V_P}{I_P} = rac{1}{4 \pi \epsilon_0 c} = rac{Z_0}{4 \pi} </math>
  299792458 &times 10<sup>1</sup> "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Ohm_(unit)" class="copylinks">Ω


  { Border "1" cellspacing="0" cellpadding="2">
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Particle" class="copylinks">Particle energy equals Radian frequency <math> \omega </math> of Wave Function '''
  <math>{ E \hbar \omega } \ </math>
  <math>{ E \omega } \ </math>
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Einstein" class="copylinks">Einstein 's equivalence of Mass And Energy '''
  <math>{ E m c^2} \ </math>
  <math>{ E m } \ </math>
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Thermal_energy" class="copylinks">Thermal Energy per Particle per Degree Of Freedom '''
  <math>{ E rac{1}{2} k T } \ </math>
  <math>{ E rac{1}{2} T } \ </math>
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Coulomb's_law" class="copylinks">Coulomb's Law '''
  <math> F rac{1}{4 \pi \epsilon_0} rac{q_1 q_2}{r^2} </math>
  <math> F rac{q_1 q_2}{r^2} </math>
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Maxwell's_equations" class="copylinks">Maxwell's Equations '''



abla imes \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \epsilon_0 rac{\partial \mathbf{E}} {\partial t}



abla imes \mathbf{B} = 4 \pi \mathbf{J} + rac{\partial \mathbf{E}} {\partial t}

N.B. Planck units normalize the Coulomb Force Constant (4''πε''0)-1 rather than the Permittivity Of Free Space ε0. Hence the factor 4''π'' above.
  ''' "http://wwwinformationdelightinfo/encyclopedia/entry/Vrhbosna/Schrödinger's_equation" class="copylinks">Schrödinger's Equation '''