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Examples of experiments and models on em induction. URDF - Uniud. 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 - PowerPoint PPT Presentation
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Examples of experiments and models on em induction
URDF - Uniud
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Page 2 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
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
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Magnet moving across a coil
URDF - Uniud
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
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Independet from velocity
From Udine presentation of G. Bozzo: First analysis summary
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
sonar
To the PC
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Equal and opposite
From Udine presentation of G. Bozzo: First analisys summary
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Page 6 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
See Also
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v ( m s-1) Vind (V)0,48 -0,1620,44 -0,1480,36 -0,1280,5 -0,171
0,32 -0,10,27 -0,0960,23 -0,0870,26 -0,090,18 -0,0620,17 -0,0570,13 -0,0460,11 -0,0380,12 -0,043
-0,19 0,07-0,21 0,071-0,27 0,095-0,26 0,091-0,32 0,1-0,15 0,052-0,14 0,048-0,15 0,051-0,52 0,169-0,41 0,137
Correlation between: V and emfind
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
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e.m.f.ind v
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
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R1) Integral in dt of the e.m.f. : proporzional to the flux variation
tf
ti
Vind dt = ( B)
Vind v
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Integral in dt of the e.m.f. : proporzional to the flux variation
Main results of the experiments:
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Vind vs position
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Analisys of the Bahaviour of the Vind vs position
Page 11 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Analisys of the Bahaviour of the B (x) vs position
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Model –Experiment comparison
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Data analysis: fenomenological behaviour:B (x) = B/(x2+a2)3/2
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The model of the falling magnet
Equivalence: magnet and coil B = A / (z2 – b2)3/2
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Hypotesis B= A * Bmax (A phenomenological parameter)
Page 14 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
The model of the falling magnet in Excel
Page 15 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
The model of the falling magnet in Coach
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Magnet- spring system inducing alternate e.m.f
URDF – University of Udine
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
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To the interfaced -PC
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Force sensor
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The collected data evidenced asimmetries related to the: -Asimmetry of the magnet oscillation with respect to the coil position
Page 24 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
The collected data evidenced asimmetries related to the: - suspected assimmetry of the magnet itself
Page 25 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
Phenomenon analysis n the Vind-position space
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Models of a U coil with a moving bar
MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
URDF – University of Udine
Page 27 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
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
Page 28 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 29 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine
The superconducting U coil
The bar oscillate
The amplitude of J in the superconductor oscillate