This study described the physical mechanism of the thermal conductivity effect on the instability phenomena using the cathode spot model. An analysis of stable arc current is performed by changing thermal conductivity of copper by compound material. It was found that the minimum stability arc is inversely proportion to the thermal conductivity. The thermal conductivity is reduced to increase stable arc current with reducing reversed electron from plasma region. The thermal conductivity is reduced with increasing the stable arc current region. Consequently, the cathode temperature is decreased. It can be concluded that the electron current is reduced by lower cathode temperature. This analysis results revealed that percent weight had inverse variation with thermal conductivity and flow heating alloy. The research results revealed that degree of ionization of copper had inverse variation with arc current. The debye length of copper had direct variation with arc current.
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