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Page 1 Examples of experiments and models on em induction URDF - Uniud MTL16-Lijublijana 15 Sept 2011 AS - URDF-University of Udine

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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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Page 1: Examples of experiments and models on em induction

Page 1

Examples of experiments and models on em induction

URDF - Uniud

MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

Page 2: Examples of experiments and models on em induction

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

Page 3: Examples of experiments and models on em induction

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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: Examples of experiments and models on em induction

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:

Page 10: Examples of experiments and models on em induction

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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: Examples of experiments and models on em induction

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: Examples of experiments and models on em induction

Page 14 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

The model of the falling magnet in Excel

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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

Page 17: Examples of experiments and models on em induction

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To the interfaced -PC

MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

Force sensor

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Page 18 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

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Page 19 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

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Page 20 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

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Page 21 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

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Page 23 MTL16-Lijublijana 15 Sept 2011AS - URDF-University of Udine

The collected data evidenced asimmetries related to the: -Asimmetry of the magnet oscillation with respect to the coil position

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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

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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

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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: Examples of experiments and models on em induction

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: Examples of experiments and models on em induction

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