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Examples of experiments and models on em induction URDF - Uniud AS - URDF-University of Udine Page 1 MTL16-Lijublijana 15 Sept 2011 Summary •Moving magnet acros a coil (experimental analysis and model) •Magnet- spring system inducing alternate e.m.f •The B field generated by a magnet and is flux •.EM Induction phenomana in circuits: RL circuit analysis •.EM Induction phenomana in circuits: coupilng circuits (the static transformer) •Models of a U coil with a moving bar AS - URDF-University of Udine Page 2 MTL16-Lijublijana 15 Sept 2011 Magnet moving across a coil URDF - Uniud AS - URDF-University of Udine Page 3 MTL16-Lijublijana 15 Sept 2011 From Udine presentation of G. Bozzo: First analysis summary sonar To the PC Independet from velocity AS - URDF-University of Udine Page 4 MTL16-Lijublijana 15 Sept 2011 From Udine presentation of G. Bozzo: First analisys summary Equal and opposite AS - URDF-University of Udine Page 5 MTL16-Lijublijana 15 Sept 2011 See Also AS - URDF-University of Udine Page 6 MTL16-Lijublijana 15 Sept 2011 s-1) v(m 0,48 0,44 0,36 0,5 0,32 0,27 0,23 0,26 0,18 0,17 0,13 0,11 0,12 -0,19 -0,21 -0,27 -0,26 -0,32 -0,15 -0,14 -0,15 -0,52 -0,41 Vind (V) -0,162 -0,148 -0,128 -0,171 -0,1 -0,096 -0,087 -0,09 -0,062 -0,057 -0,046 -0,038 -0,043 Correlation between: V and emfind 0,07 0,071 0,095 0,091 0,1 0,052 0,048 0,051 0,169 0,137 AS - URDF-University of Udine Page 7 MTL16-Lijublijana 15 Sept 2011 e.m.f.ind v AS - URDF-University of Udine Page 8 MTL16-Lijublijana 15 Sept 2011 Main results of the experiments: R1) Integral in dt of the e.m.f. : proporzional to the flux variation tf Vind dt = ( B) ti Integral in dt of the e.m.f. : proporzional to the flux variation Vind AS - URDF-University of Udine v Page 9 MTL16-Lijublijana 15 Sept 2011 Analisys of the Bahaviour of the Vind vs position Vind vs position AS - URDF-University of Udine Page 10 MTL16-Lijublijana 15 Sept 2011 Analisys of the Bahaviour of the B (x) vs position AS - URDF-University of Udine Page 11 MTL16-Lijublijana 15 Sept 2011 Model –Experiment comparison Data analysis: fenomenological behaviour: B (x) = B/(x2+a2)3/2 AS - URDF-University of Udine Page 12 MTL16-Lijublijana 15 Sept 2011 The model of the falling magnet Equivalence: magnet and coil B = A / (z2 – b2)3/2 Hypotesis B= A * Bmax (A phenomenological parameter) AS - URDF-University of Udine Page 13 MTL16-Lijublijana 15 Sept 2011 The model of the falling magnet in Excel AS - URDF-University of Udine Page 14 MTL16-Lijublijana 15 Sept 2011 The model of the falling magnet in Coach AS - URDF-University of Udine Page 15 MTL16-Lijublijana 15 Sept 2011 Magnet- spring system inducing alternate e.m.f URDF – University of Udine AS - URDF-University of Udine Page 16 MTL16-Lijublijana 15 Sept 2011 Force sensor AS - URDF-University of Udine To the interfaced PC Page 17 MTL16-Lijublijana 15 Sept 2011 AS - URDF-University of Udine Page 18 MTL16-Lijublijana 15 Sept 2011 AS - URDF-University of Udine Page 19 MTL16-Lijublijana 15 Sept 2011 AS - URDF-University of Udine Page 20 MTL16-Lijublijana 15 Sept 2011 AS - URDF-University of Udine Page 21 MTL16-Lijublijana 15 Sept 2011 AS - URDF-University of Udine Page 22 MTL16-Lijublijana 15 Sept 2011 The collected data evidenced asimmetries related to the: -Asimmetry of the magnet oscillation with respect to the coil position AS - URDF-University of Udine Page 23 MTL16-Lijublijana 15 Sept 2011 The collected data evidenced asimmetries related to the: - suspected assimmetry of the magnet itself AS - URDF-University of Udine Page 24 MTL16-Lijublijana 15 Sept 2011 Phenomenon analysis n the Vind-position space AS - URDF-University of Udine Page 25 MTL16-Lijublijana 15 Sept 2011 Models of a U coil with a moving bar URDF – University of Udine AS - URDF-University of Udine Page 26 MTL16-Lijublijana 15 Sept 2011 The falling bar model in Coach: regime speed (Only the bar have a resitence) The bar reach a constant speed The induced current Jind tend to constant value AS - URDF-University of Udine Page 27 MTL16-Lijublijana 15 Sept 2011 U coil with linear resistence (R of the coil increase when the bar fall down) The speed of the bar before decrease, after increase The induced current Jind tend to zero AS - URDF-University of Udine Page 28 MTL16-Lijublijana 15 Sept 2011 The superconducting U coil The bar oscillate The amplitude of J in the superconductor oscillate AS - URDF-University of Udine Page 29 MTL16-Lijublijana 15 Sept 2011