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We saw that some of the involved impedances were very variable. The electrode with the skin, forms a capacito-resistive system. The problem to resolve is to find the values of the components by knowing that : Each individual is different, the values change according to the zones and size of electrodes, the stress, the taken of certain drugs... We believe that this problem is insoluble and we do not even try hard to make calculations to have, at least, an order of idea.

It is true that calculation is difficult, but per hour of data processing, there is no more obstacle. Moreover, all the modern generators microprocessors which have, moreover embark, one analogique/numeric treatment unit. These calculating units are capable to render this service to us. To solve the following formula is, for these integrated circuits a formality of a few microseconds.

The advantage of such an approach, technological, is the simplification of the implementation of the treatments. On the other hand, this way of proceeding does not bring any knowledge, really useful, for the therapeutist. It makes it possible however to visualize the variation of impedance, total, according to the frequency. It is a concept to be retained.

Moreover, the term w is calculated in the following way;

Unfortunately, it is possible to calculate them only insofar as the currents applied are purely sinusoidal (w is single in the formula). Electrotherapy shows us that this type of current is used rather little.

As we mentioned above, we are in presence, of a capacito-resistive system. This system has a mathematical property good known of the electronics specialists. By approximation, this unit is overall derivative device. The terminal voltage of R1 (Rt) is the expression of derivative from the function presented at the terminals of the system. Out, R1 is purely resistive. One can as conclude from it as the current I which it cross-piece is an expression of derivative (except for a constant) from the tension U applied at the boundaries of the system.

Thus,

By the generalized law of ohm , one can affirm:

We as know, as the derivative of a function is the expression of its slope and even, if we do not have the formula of the function, we can calculate the slope, in any point, by the famous formula:

With these elements, it is possible to affirm that Zep is inversely proportional to the slope, because well on;

You will have understood the essential importance of these relations;

  • I is the derivative of U (except for a constant).
  • Z is conversely proportional with the variation of U.

 

 
     updated 07/07/2003