Child's Law - related to anode current
First proposed by Clement D. Child in 1911, Child’s law states that the space-charge limited current (SCLC) in a plane-parallel vacuum diode varies directly as the three-halves power of the anode voltage Va and inversely as the square of the distance d separating the cathode and the anode.
For electrons, the current density J (amperes per meter squared) is written as shown here.Related formulas
|J||current density (A/m2)|
|Ia||anode current (A)|
|S||anode surface inner area (m2)|