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Summary
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
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MTL16-Lijublijana 15 Sept 2011
Magnet moving across a coil
URDF - Uniud
AS - URDF-University of Udine
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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
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MTL16-Lijublijana 15 Sept 2011
From Udine presentation of G. Bozzo: First analisys summary
Equal and
opposite
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
See Also
AS - URDF-University of Udine
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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
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MTL16-Lijublijana 15 Sept 2011
e.m.f.ind  v
AS - URDF-University of Udine
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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
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MTL16-Lijublijana 15 Sept 2011
Analisys of the Bahaviour of the Vind vs position
Vind vs position
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
Analisys of the Bahaviour of the
B (x) vs position
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
Model –Experiment comparison
Data analysis:
fenomenological
behaviour:
B (x) = B/(x2+a2)3/2
AS - URDF-University of Udine
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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
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MTL16-Lijublijana 15 Sept 2011
The model of the falling magnet in Excel
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
The model of the falling magnet in Coach
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
Magnet- spring system
inducing alternate e.m.f
URDF – University of Udine
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
Force sensor
AS - URDF-University of Udine
To the
interfaced PC
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MTL16-Lijublijana 15 Sept 2011
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
AS - URDF-University of Udine
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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
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MTL16-Lijublijana 15 Sept 2011
The collected data evidenced asimmetries related to the:
- suspected assimmetry of the magnet itself
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
Phenomenon analysis n the Vind-position space
AS - URDF-University of Udine
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MTL16-Lijublijana 15 Sept 2011
Models of a U coil with a
moving bar
URDF – University of Udine
AS - URDF-University of Udine
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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
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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
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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
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MTL16-Lijublijana 15 Sept 2011
Fly UP