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B. Influences of powder content on the impedance of<br />
composite film<br />
Table I is the influences of powder content on the<br />
impedance of composite film at 0.6kHz . Known from<br />
table, the impedance of composite film decreases with the<br />
powder content increases.<br />
The impedance of composite film is consisting of<br />
resistance and reactance. Resistance is mainly depending<br />
on the degree of perfection (resistivity) of amorphous<br />
powder particle chains forming in the rubber base and the<br />
effective length of composite film that the current flows<br />
through;reactance of composite film is decided by the<br />
capacitance, which mainly depends on the thickness of<br />
composite film and the AC frequency.So the impedance<br />
of composite film is:<br />
Z +<br />
2 2<br />
= R X<br />
(2)<br />
The powder content is defined as P ,the composite<br />
film resistivity and dielectric constant decrease with the<br />
bigger powder content P ,it means that,the resistance and<br />
resistance decreases with the bigger powder content P ,<br />
so the impedance of composite film decreases along with<br />
the powder content P increases.<br />
Table I Influences of powder content on the impedance of composite<br />
film<br />
Z/ kΩ<br />
σ/MPa 1:3 1:4 1:5 1:6<br />
0 2159.39 1439.92 1397 938.626<br />
0.065 2153.53 1425.87 1393.65 936.747<br />
0.108 2153.24 1423.35 1393.31 936.32<br />
0.147 2152.77 1422.75 1392.94 935.79<br />
0.201 2152.72 1421.83 1392.52 935.294<br />
0.397 2151.69 1420.89 1391.43 934.167<br />
0.607 2150.72 1420.23 1390 933.391<br />
0.802 2150.69 1417.21 1389.14 932.184<br />
0.992 2150.04 1415.58 1388.55 931.797<br />
1.182 2149.53 1412.13 1387.99 931.366<br />
Figure 2 is the influences of powder content on the<br />
rangeability of impedance of composite film at 0.6kHz.<br />
Known from Figure, the rangeability of impedance<br />
increases first and then decreases with increasing powder<br />
content; it is the biggest When the powder with butyl<br />
rubber according to the mass ratio of 4 to 1.<br />
The resistance of composite film R and the reactance<br />
of composite film X is inversely proportional to powder<br />
dC dD<br />
content P , so supposed R = , X = , where<br />
P P<br />
C 、 D are constants, and according to equation (2)and<br />
equation (1) , the impedance of composite film is:<br />
d C<br />
2 2<br />
+ D<br />
Z = (3)<br />
P<br />
the rangeability of impedance of composite film is:<br />
2 2 ( d<br />
0−dσ<br />
)<br />
Δ Z = C + D<br />
(4)<br />
P<br />
The elastic modulus of composite film increased With<br />
the P increases ,and the deformation of composite film<br />
decreases under constant stress, it means that,<br />
decreases with the P increase; so supposed<br />
E<br />
d =<br />
P<br />
d<br />
σ<br />
σ<br />
,<br />
where E is constant; d<br />
0<br />
is constant ,according to<br />
equation (4), the rangeability of impedance of composite<br />
film is :<br />
E<br />
( d<br />
0−<br />
)<br />
2 2 P<br />
2 2 ( d<br />
0P<br />
− E)<br />
Δ Z = C + D = C + D<br />
(5)<br />
2<br />
P<br />
P<br />
2<br />
d(<br />
ΔZ)<br />
2 2 (2PE<br />
−d<br />
0P<br />
)<br />
= C + D<br />
4<br />
dP<br />
P<br />
When<br />
2E<br />
d(<br />
ΔZ)<br />
P < , > 0<br />
d dP<br />
0<br />
, ΔZ<br />
increases<br />
2E<br />
with powder content P increase;While P > ,<br />
d<br />
0<br />
d(<br />
ΔZ)<br />
< 0 , Δ Z decreases with powder content P<br />
dP<br />
increase.<br />
ΔZ/kΩ<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1:3<br />
1:4<br />
1:5<br />
1:6<br />
0<br />
0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />
stress/MPa<br />
Figure 2 Influences of powder content on the rangeability of<br />
impedance of composite film<br />
IV. CONCLUSIONS<br />
Large piezomagnetic effect of Fe-based amorphous<br />
ribbon can be produced only at high frequency, while it<br />
can be produced at low frequency in soft magnetic<br />
composite films prepared with IIR as base and amorphous<br />
powders grinded from iron-based amorphous ribbon as<br />
composite phase.. the impedance of composite film<br />
decreases with the morer powder content; the<br />
rangeability of impedance increases first and then<br />
decreases with increasing powder content, the rangeability<br />
of impedance is the biggest When the powder with butyl<br />
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