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Filament Resistivity
Equation
$\rho_e(T)=\rho_u\left(\displaystyle\frac{T}{T_u}\right)^u$
ID:(4028, 0)
Filament Temperature
Equation
$T=\left(\displaystyle\frac{\rho_uI_e^2}{2\epsilon\pi^2\sigma r_f^3T_u^u}\right)^{1/(4-u)}$
ID:(4029, 0)
Saturation Flow according to Child-Langmuir
Equation
$j_{max}=-\displaystyle\frac{4\epsilon_0}{9}\sqrt{\displaystyle\frac{2e}{m_e}}\displaystyle\frac{V^{3/2}}{d^2}$
ID:(4032, 0)
Thermal Equilibrium
Equation
$I_f^2\rho_e(T)\displaystyle\frac{l_f}{\pi r_f^2}=2\pi r_fl_f\epsilon\sigma(T^4-T_0^4)$
ID:(4027, 0)
