Toward the complete relational graph of fundamental circuit elements*
Shang Da-Shan†, Chai Yi-Sheng†, Cao Ze-Xian, Lu Jun, Sun Young‡
       
The complete relational graph of fundamental two-terminal circuit elements. (a) The four linear fundamental two-terminal circuit elements which correlate a particular pair of the four basic circuit variables, i.e., charge q , voltage v , current i , and magnetic flux φ . (b) A complete relational graph of all the possible fundamental two-terminal circuit elements, both linear and nonlinear. In panel (b), the missing fourth element, the transtor, which is anticipated to directly correlate φ with q is now denoted with T in place of M in panel (a). A symbol for transtor is introduced to facilitate later usage. The nonlinear memory devices corresponding to the four linear fundamental elements, i.e., the resistor ( R ), the capacitor ( C ), the inductor ( L ), and transtor ( T ), are now accordingly designated as memristor ( M R ), memcapacitor ( M C ), meminductor ( M L ), and memtranstor ( MT ). The relations of d φ = v d t and d q = i d t in panel (a) have been omitted in (b) because they are unnecessary to define the fundamental circuit elements.