Calculation of the sixfold integrals of the Biot-Savart-Lorentz force law in a closed circuit

The sixfold integrals of the Biot-Savart-Lorentz force law are calculated for a closed circuit, using CERN routines. Different current distributions are considered. The theoretical calculations are complementary to experiments which were performed using the same pi-frames. The dimensions of the analyzed circuit were chosen to be exactly the same as those of the experimental check. The results show that, taking into account the statistical and systematic errors of the numerical method used by the integration routine, the Biot-Savart-Lorentz law is in complete agreement with the experiment, in contradiction to other experiments which state the opposite