Transcript Möbiusova traka u fizici

Möbius in physics
XV.gimnazija, Zagreb,Croatia
Vedrana Vlahović, Dalibor Žgela
Goal
 We
will study the difference between the
shape of induced magnetic field,
resistance and induction rate of „Möbius“
elements and the ones with no Möbius
twist
 Applying the Möbius twist, we presume,
will create an electromagnet with the same
magnetic poles on both sides and reduce
induction rates of both Möbius elements
Building our coils
Fig.1: Coils

We made two coils, one by winding copper wire
“normally“ around a plastic tube, and the other by
winding it around a half of the tube in one
direction and around the other half in the
opposite direction.
Coils

In that
way, we've
managed to change the
direction of coil's crosssection vector. Produced
coils are the same
length, have the same
number of loops and
their
cross-section
surfaces are the same
size .
Fig.2:Coils
Building our resistors
Fig.3: Resistors

In addition, we've made two circle-shaped resistors, one of
which contains Möbius twist. Between the aluminum bands our
resistors consist of, a paper band is placed, which prevents
contact among the pieces of aluminum. Bands we used to
make our resistors were the same length and width, so that
created resistors were of equal diameter.
Affect of the Möbius twist on coil’s magnetic field

Fig.4: While the switch is off
Fig. 5: While the switch is on
As the charge is moving
through the coil, magnetic
field is being induced,
whose direction can be
determined by the right
hand rule. Connecting the
Möbius coil into the circuit
we got an electromagnet
with same poles on both
sides (Fig. 5). When the
switch
is
off,
both
magnetic needles point
to the Earth's magnetic
north pole (Fig. 4).
Affect of a Möbius twist on the resistor
Fig.6: Measuring data
Applying the Möbius twist on the resistor, we produced a
Möbius resistor. If we connect it to an electrical circuit, we
should get a resistor of reduced inducted magnetic field.
Indeed, magnetic needle has deflected less from its „normal“
position in the test with Möbius resistor than in the test with
non-Möbius resistor .
Results

Preliminary readings
have shown slight but
noticeable differences
between induction rates
of elements with and
without the Möbius twist.
Fig.7: Measuring data
Conclusion

Considering that
preliminary data confirmed
our assumptions, we've
decided to construct
elements which will allow
us to examine that
difference more thoroughly
and to determine it
quantitatively.
Fig. 8: Our coil’s evolution
Sources

Vujević, Application of the Möbius strip in electrical
engineering, Energija, god. 56(2007), br. 6., str. 700-711

www.quantumbalancing.com/news/htsinglenodecoil.pdf