Heat Transfer in Electrical Circuits

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Isaac Ratz
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In an electrical circuit, when current flows through a resistance, heat is produced. Is there some quantity (?) into which heat is transformed when it flows through a substance (all substances having some resistance to heat flow)?
 
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All the heat that flows in a body simply flows out the body, as a result of conservation of energy around your control volume if it is steady state. Otherwise, the internal energy of the body increases as the temperature of the body rises from mc(dT).