pengkuan Posted March 16, 2012 Posted March 16, 2012 (edited) Links removed. Does someone agree that the paradoxes are well-founded? If you agree, are you interested in doing an experiment to check the validity of these paradoxes? In case of success, the first person who does it would deserve a scientific prize. Below is the design of the experiment. Check experimentally the paradoxes about Lorentz law Although the paradoxes show the deficiency of the Lorentz force law and the differential Ampere's force law (an improvement of the Lorentz force law) has successfully solved all these paradoxes, it is however necessary to confirm this by new experiments never carried out before. The suggested experiment makes 2 rectangular coils interact. The coil 1 is horizontal, the coil 2 is tilted at an angle with respect to the coil 1 (See the Figure 1). The magnetic force will create a torque on the 2 coils, which are calculated numerically. The parameters are the following: The dimensions of the horizontal coil: lx=0.4 m, ly=0.8 m The dimensions of the tilted coil: lx=0.36 m, ly=0.144 m The current in the 2 coils: I=3000 A•turn The results predicted by the Lorentz force law and the differential Ampere's force law are the 2 curves drawn in the Figure 2. The torque varies with respect to the angle between the 2 coils. The values of the torques are given in the Table 1 in N•m. We see that, as the angle increases from 20° to 90°, the torque predicted by the Lorentz force law increases whereas the prediction of the differential Ampere's force law decreases. The values of these torques are very different; for example, at 90°, the Lorentz force law predicts 1.2755 N•m, against 0.1877 N•m for the differential Ampere's force law. The values and the shape of the curves are sufficiently different to distinguish if the measured values is in accordance with the differential Ampere's force law or the Lorentz force law. The difference of the torques is due to the magnetic force between perpendicular segments of currents. The Lorentz force between perpendicular segment of currents is non null, whereas for the differential Ampere's force law, this force does not exist. This is why when the angle between the 2 coils is 90°, the torque for the Lorentz force law is strong and the torque for the differential Ampere's force law is nearly 0. The quantity of wire is calculated here. The lengths of each turn of the 2 coils are: l1=(0.4+0.8)*2=2.4 m l2=(0.36+0.144)*2=1.008 m There are 3 000 turns in each coil. The lengths of wire of the 2 coils are: L1 = 7 200 m L2 = 3 024 m The total length of wire needed is : 10 224 m We will measure the force on the top of the coil 2. At angle 20°, the expected force is: F0 = 0.4450 N•m / 0.072 m = 6.18 N We can use different values of current, size of coils. The expected forces at angle 20° are calculated and are given with the corresponding currents, wire lengths in the Table 2. To prove experimentally the inconsistency of the Lorentz force law is of the greatest importance for physics. The reader is encouraged to carry out this experiment and try to be the first to accomplish this great task. Edited March 17, 2012 by hypervalent_iodine links to other threads removed
pengkuan Posted March 17, 2012 Author Posted March 17, 2012 I have done an error in the last image. Please use this one instead.
hypervalent_iodine Posted March 17, 2012 Posted March 17, 2012 ! Moderator Note pengkuan, you already have a thread addressing this issue, so please post all related material there instead of making new threads. Additionally, please do not use posts to advertise your other threads. Thread closed.
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