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- 30 - MarinovIntegrating formula (4) and taking Into account also the tension induced as a resultof the magnetic ^ action of the current wire CB(^^ the tensions act on linear wires, wecan consider them as vectors)"mot = {%^l/^^)n^/^)i^^*^^)'^^^'^ = - (vI/27T)/(dx/x))( = - (y^vl/2ii)ln(a/a^)5!where a is a small length, as for a^ = the integral on the right becomes illimited.The mathematical determination of the small quantity a is impossible at this level ofmathematical calculations (in Ref. 13 I give the exact mathematical calculation of thepushing forces- and consequently of the induced tensions - in Ampere bridges of differentforms). As I have shown in Ref. 4 (p. 140), for AB/AD < 0.33, the approximation takenin formula (11), i.e., the cancelation of the2 2 -1/2'factor L(x +L )not bigger than 5%.(11), leads to an errorFor the rest-transformer electric tension induced in the wire AE we shall have byintegrating formula (10), for the moment t = 0,"rest-tr = " i%''^/^^)fi^y' /y')y = - i%'^U^^)My/^^)9* (12)where a is again a small length, as for a = the integral becomes illimited.If we assume y= a, we shall have, as shown in fig. 1,with the indicated in the figure directions.Graneau et al.^ ' have pointed out at some experimental observations which seem tohave confirmed the relations (13). I have, however, to note that the railgun is not theappropriate machine for measuring induced tensions, as the phenomena there are not stationary.An appropriate machine is the Rotating Ampere Bridge with Sliding Contatcsconstructed recently by me (Ref. 4, p. 136 and Ref. 14); the numerical results of theinduced tensions have confirmed the above theory.At the end I should like to note that if proceeding from Ampere's formula, one isunable to introduce the notion magnetic potential A, and consequently also the notionmagnetic intensity B = rotA. Thus, if Grassmann's formula, i.e., the Biot-Savart formula,for the magnetic intensity generated by a current element Idr at a distance r fromit