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Linear and Nonlinear Dielectric Ceramics - Electroceramics - Exam, Exams of Analysis and Design of Digital Integrated Circuits

The main points are: Linear and Nonlinear Dielectric Ceramics, Permittivity of Dielectric, Electric Loss Factor, Electrical Susceptibility, Dielectric Constant Contribution, Type of Mechanisms, Observed Value, Electrical Circuit

Typology: Exams

2012/2013

Uploaded on 04/18/2013

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bg1
Modul
e
e
4and5
Linear
a
a
ndNonl
i
i
near
Die
l
l
ectricC
e
ramics
1. Plot t
h
reaso
n
2. A 2 c
m
7.2 μ
F
a. P
b.
E
c.
E
3. Si ha
s
diele
c
Obse
r
such
b
4. A 0.5
mate
r
5. Follo
w
a.
D
b.
D
c. P
d.
U
w
6. Plot t
h
Titan
a
7. Piezo
show
n
actin
g
equal
h
e dielectric
c
n
s for each r
e
m
diameter a
n
F
and a dissi
p
ermittivity o
f
E
lectric loss f
a
E
lectrical susc
s
an atomic r
a
c
tric constant
r
ved value is
b
ehavior.
cm thick die
r
ials if used a
t
w
ing are two
D
erive the ex
p
D
erive the ex
p
lot these qua
n
U
nder what c
o
w
ould be the
p
h
e free energ
y
a
te and sche
m
electric ZnS
u
n
in the figur
e
g
such tha
t
te
n
magnitude a
r
C
c
onstant and
l
e
gion in each
n
d 0.25 mm
t
p
ation factor
o
dielectric
a
ctor
eptibility
a
dii of 110 p
m
contribution
?
about 11-12.
lectric mater
i
t
100 Hz and
electrical cir
c
p
ressions of t
h
p
ressions of t
h
n
tities as a fu
n
o
nditions, wo
u
p
hysical mea
n
y
-displacem
e
m
atically sho
w
u
pon applica
t
e
below. Thi
s
n
sile stresses
r
e along [1
1
0
R
l
oss vs frequ
e
material.
t
hick disk of
s
o
f 72. Deter
m
m
. What type
?
Calculate t
h
Compare an
d
i
al has a diel
e
1000V, calc
u
c
uits (series
R
h
e impedanc
e
h
e real and i
m
n
ction of fre
q
u
ld the Deby
e
n
ing?
e
nt and susce
p
w
the behavi
o
t
ion of stress
s
crystal is su
b
are along [1
1
0
] and [
1
10
]
e
ncy for two
m
s
teatite was
m
m
ine the follo
w
of mechanis
m
h
e dielectric
c
d
comment o
n
e
ctric constan
t
u
late the pow
e
R
-C and para
l
e
and admitta
n
m
aginary diel
e
q
uency.
e
equations l
o
p
tibility vs te
m
o
r across its
C
becomes no
n
b
ject to the e
q
1
0] and [
1 1
0
]
directions.
A
m
aterials: G
e
e
and ZrO
2
. B
r
r
iefly explai
n
m
easured and
w
ing propert
i
m
s you expe
c
c
onstant of Si
n
the differen
t
of 75 and l
o
e
r loss densit
y
l
lel R-C). Att
n
ce of both c
i
e
ctric consta
n
o
ok similar to
m
perature pl
o
C
urie tempera
t
n
-centrosym
m
q
uilibrium ar
r
0
] directions
A
nswer the f
o
C
R
found to hav
i
es:
c
t in Si to con
t
using appro
p
ce, if any, an
d
o
ss tangent o
f
y
in the diele
c
empt the foll
o
i
rcuits.
n
t and loss ta
n
obtained fro
m
o
ts for ferroel
t
ure.
m
etric. Its (00
1
r
angement o
f
and compres
s
o
llowing:
C
R
e a capacitan
c
t
ribute to its
p
riate express
i
d
any reason
s
f
20. If the
c
tric.
o
wing:
n
the
c
e of
i
on.
s
for
n
gent.
m
(b). What
ectric Bariu
m
m
1
) plan view
i
f
shear stress
e
s
ive stresses
o
i
s
e
s τ
o
f
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Modulee 4 and 5 Linear aand Nonliinear Diellectric Ceeramics

  1. Plot th reason
  2. A 2 cm 7.2 μF a. P b. E c. E
  3. Si has dielec Obser such b
  4. A 0. mater
  5. Follow

a. D b. D c. P d. U w

  1. Plot th Titana
  2. Piezo shown acting equal

he dielectric c ns for each re m diameter an F and a dissip ermittivity of Electric loss fa Electrical susc s an atomic ra ctric constant rved value is behavior. cm thick die rials if used at wing are two

Derive the exp Derive the exp lot these quan Under what co would be the p he free energy ate and schem electric ZnS u n in the figure g such that ten magnitude ar

C

constant and l egion in each nd 0.25 mm t pation factor o f dielectric actor eptibility adii of 110 pm contribution? about 11-12.

lectric materi t 100 Hz and electrical circ

pressions of th pressions of th ntities as a fun onditions, wou physical mean y-displaceme matically show upon applicat e below. This nsile stresses re along [1 1 0

R

loss vs freque material. thick disk of s of 72. Determ

m. What type ? Calculate th Compare and

ial has a diele 1000V, calcu cuits (series R

he impedance he real and im nction of freq uld the Debye ning? ent and suscep w the behavio tion of stress s crystal is sub are along [1 1 0 ] and [ 1 10 ]

ency for two m

steatite was m mine the follow

of mechanism he dielectric c d comment on

ectric constant ulate the powe R-C and paral

e and admittan maginary diele quency. e equations lo

ptibility vs tem or across its C becomes non bject to the eq 1 0] and [ 1 1 0 ] directions. A

materials: Gee and ZrO 2. Brriefly explain

measured and wing properti

ms you expec constant of Si n the differen

t of 75 and lo er loss density llel R-C). Att

nce of both ci ectric constan

ook similar to

mperature plo Curie temperat n-centrosymm quilibrium arr 0 ] directions Answer the fo

C

R

found to hav ies:

ct in Si to cont using approp ce, if any, and

oss tangent of y in the dielec empt the follo

ircuits. nt and loss tan

obtained from

ots for ferroel ture. metric. Its (00 1 rangement of and compress ollowing:

C

R

e a capacitanc

tribute to its priate expressi d any reasons

f 20. If the ctric. owing:

n the

ce of

ion. s for

ngent.

m (b). What

ectric Bariumm

1 ) plan view i f shear stresse sive stresses o

is es τ of

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a. With the help of arrows, sketch on the same figure the resulting movement of S atoms keeping the Zn atoms fixed. S atoms form the coordination tetrahedra around Zn atoms located at ¼ ¼ ¼. Have the coordinates of the centre of mass (and thus centre of charge) of S atoms changed? b. In what direction, must the Zn atom move to remain equidistant from the coordinating S atoms? Would it still be at the centre of charge of the S atoms? c. If the Zn–S bond is ionic, or partially ionic, in what direction will the dipole moment develop? d. At the charge-centre of a tetrahedron of S atoms around Zn in the unstressed crystal, what charge due to S must appear? Express the value in terms of charge of one S atom (-q). e. Experimental evidence shows relatively large covalent character of Zn-S bonds in ZnS structures modifies the the magnitude of the charge on each S and Zn ‘ion’ to |q| ≈ 0.26. e where e denotes the electronic charge. Experimentally the displacement (Δ l ) of the Zn ion from the centre of the tetrahedron is 75 fm when τ = 25 MPa. Calculate the electric polarization, P and piezoelectric coefficient, d?

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