BRUEL & KJAER 4117 User guide

Piezoelectric Microphone
Type 4117
High quality piezoelectric micro-
phone for measurement and
monitoring purposes. Each micro-
phone
is
individually calibrated.


Piezoelectric
Microphone
Type 4117
Reprint
July
1972


Contents
1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . 5
1.1. Purpose
of
the Piezoelectric Microphone . . . . . . . . . . . . .. . .. . . . . . 5
1.2. Definitions
of
Free-Field and Pressure Response . . . . . . .. . .. . . . . . 5
1.3. Random Incidence Response ·(Diffuse Field Response) .. . . . . . .. . 6
2.
Description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . 7
2.1.
Construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . 7
2.2. Sensitivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . 9
2.3.
Capacitance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . 9
2.4.
Charge Sensitivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . 10
2.5.
Frequency Response
.........................................
10
2.6.
Free-field Corrections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . ..
11
2.7.
Directional Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . .
11
2.8.
Dynamic Range
..............................................
11
2.9. Phase Shift
..................................................
12
2.10. Volume Correction
...........................................
12
2.11. Temperature Characteristics
..................................
12
2.12. Influence
of
Ambient Pressure
................................
12
2.13. Influence
of
Humidity
........................................
13
2.14. Influence
of
Vibrations
........................................
13
2.15. Influence
of
Load
............................................
13
2.16. Cable Capacitance Sensitivity Correction
......................
16
3.
Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
17
3.1.
Sound Level Calibrator Type 4230
..............................
17
3.2.
Pistonphone Type 4220
.......................................
19
4.
Accessories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21
4.1. Microphone Extension Cable AO
0062
..........................
21
4.2.
Microphone Extension Cable AO
0061
. . . . . . . . . . . . . . . . . . . . . . . . . .
21
4.3. Windscreens UA
0082
and UA
0207
. . . . . . . . . . . . . . . . . . . . . . . . . . ..
22
4.4. Miniature Cable AO
0037
...•..................................
23
4.5. Mininoise Cable AC
0010
......................................
23
4.6. Adapter
JP
0028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
4.7. Microphone Stand UA 0049
....................................
24
4.8.
Random Incidence Corrector UA
0055
. . . . . . . . . . . . . . . . . . . . . . . . . .
25

5.
Preamplifiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
5.1. General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
5.2.
Condenser
Microphone
Preamplifiers
..........................
27
5.3.
B &K Preamplifiers
..........................................
27
5.3.1. Preamplifier Type 2623
........................................
27
5.3.2. Preamplifier Type 2616
........................................
29
5.3.3. Vibration Pick-up Preamplifier Type 2625
........................
30
5.3.4. Charge
Amplifier
Type 2624
...................................
32
6.
Specifications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

1.
Introduction
1.1. PURPOSE OF THE PIEZOELECTRIC MICROPHONE
The Bruel & Kjrer one inch Piezoelectric Microphone Type
4117
has been
designed
for
the general purpose Sound Level Meter Type
2205,
which
fulfils
the
requirements
of
the
IEC Recommendation Publication
123.
Reasons
for
choosing a piezoelectric microphone instead
of
a condenser microphone
are its
low
price, its very high capacitance, and
the
fact
that is does not
require polarization voltage. This also means that it is less affected by
water condensation on the back
of
the diaphragm than would
be
the
condenser microphone.
All these advantages
justify
the use
of
the piezoelectric microphone as a
general purpose microphone in cases where low
price
and good quality
are desired. The microphone does not fulfil the requirements for precision
sound pressure measurements, however, so in cases where this is a demand
one
of
the
B &K condenser microphones should
be
preferred.
1.2. DEFINITIONS OF FREE-FIELD AND PRESSURE RESPONSE
The Free-Field Response
of
a microphone is the ratio
of
the RMS output
voltage to the
RMS
sound pressure existing in a free field (plane sound
waves) at
the
microphone location with
the
microphone removed.
The Pressure Response
of
a microphone is the ratio or the
RMS
output
voltage
to
the
RMS sound pressure, uniformly applied
over
the diaphragm.
Free-Field Response=
~o
Pressure
Response=
;,
vo~ts
_rv
------L__Mic_roph-one~IC::::::::::---~------
Wavelength
Sound
pressure
p
0
-------;------
00
incidence
(62160
Fig.
1.1.
Definitions
of
Free-field
and
Pressure Response.
5

The two definitions coincide
for
a microphone having negligible dimensions
with respect to the sound wavelength. In the case
of
the B & K one-inch
microphones this is practically fulfilled up to about 1400
Hz,
where the
wavelength is equal to ten times the diameter
of
the microphone (i.e.
240
mm).
The difference in response is then a fraction
of
a decibel (approx.
0.6
dB).
At higher frequencies the diffractions
of
the sound waves on the microphone
produce an appreciable change in the resulting sound pressure acting on the
microphone diaphragm as illustrated in Fig.
1.1
. The difference
P1-
Po,
called
free-field
correction,
depends on the orientation
of
the microphone with
respect to the direction
of
propagation
of
the sound and on the external
dimensions
of
the microphone (in
particular
those
of
the front and
of
the
fitted protective grid).
The free-field behaviour
of
a microphone is thus described by means
of
a
set
of
free-field correction curves
for
various incidences, which should be
added to the pressure frequency curve
of
the microphone in each particular
case.
For microphones intended
for
free-field
work
it
is possible to give the
diaphragm resonance such a damping that the normal incidence free-field
corrections are compensated
for
up to frequencies well above
the
resonance
frequency, in
order
to obtain the flattest possible frequency response.
1.3. RANDOM INCIDENCE RESPONSE (DIFFUSE FIELD RESPONSE)
The random incidence response
of
a microphone
for
a given frequency is
the RMS value
of
the free field sensitivity
for
all angles
of
incidence
of
the
sound wave.
It
corresponds to the diffuse field sensitivity
of
the microphone,
the diffuse field being a sound field in which the sound energy density is
uniform and the mean acoustic power per unit area is the same in all
directions. The International Electrotechnical Commission (publication no. 123,
§
8.2)
has given a practical rule
for
the
calculation
of
the random Incidence
sensitivity from the free-field sensitivities
at
definite angles, with coefficients
proportional to
the
relative solid angles.*)
When
the
spectral distribution
of
the sound varies with
the
angle
of
incidence,
correct
integration is
only
possible in the range where the microphone is both
linear and omnidirectional. Omnidirectional microphones are also necessary
in the case
of
rapidly moving sources (aeroplanes, motorcars, etc.).
*)
80, 830, 8
60
----
S180 being the
sensitivity
of
the
microphone
at
angles of
incidence
of
0°,
20°,
60°,
----
180°, the random
incidence
(diffuse field) response S
is
given
by
the
formula:
S2
=
0.018
(S02 + 8180
2)
+
0.129
(8
302 + S
15
l) +
0.224
(8
602 +8120
2)
+ 0.
258
Swl
6

2.
Description
2.1. CONSTRUCTION
The mechanical construction of the Piezoelectric Microphone Type
4117
is
shown schematically in Fig. 2.1. The active element is a ceramic bender which
consists
of
two layers
of
PZT (Lead Zirconium Titanate) electrically connected
in parallel in
order
to achieve a high capacitance. The capacitance is
In
the
order
of 4 nF. The bender is supported at both ends by means of bronze
ribbons
to
which
it
is soldered. The diaphragm is a thin metal foil.
As
the
pressure from the whole diaphragm area must be transferred to a point on
the bender the diaphragm is given a conical shape, which makes it very stiff
and therefore act a piston. Along the edge
it
is corrugated, and the apex is
attached to the bender by means
of
an epoxy resin glue.
Diaphragm
==~~~~-Capillary
tube
for
pressure
equalisa-
tion
Fig. 2.1. Schematic
drawing
of
the
piezoelectric
microphone.
When the microphone is exposed to a sound pressure the diaphragm vibra-
tions are imparted to the ceramic bender as variable forces tending to bend
it. Due to the piezoelectric effect a variable potential will be developed
in
the bender, ·uhich is proportional to the force and therefore to the sound
pressure.
To dampen the natural resonances
of
the diaphragm and the bender, a conical
back plate has been placed very close behind the diaphragm. In the back
plate there are a number of holes and these together with the
air
In the
space between the diaphragm and the back plate give the necessary damping.
The spacing is adjustable and in the production calibration this
Is
used to
obtain the desired frequency response
of
the microphone.
At the low frequencies the response
of
the microphone is affected by the
influence
of
a pressure equalization arrangement. This arrangement consists
7

~&109?
Fig. 2.
2.
Cut-away
drawing
of
Type 4117.
of a capillary leakage hole through which
the
equalization
of
the static
pressure on both sides
of
the diaphragm is obtained at a suitable rate. The
hole is situated in front
of
the grid mounting thread. The pressure equalization
is then obtained also in the case
of
closed cavity
or
flush mounting measure-
ments. The time constant
of
the pressure equalization is
0.05
seconds corres-
23.11mm-60
NS
2
(0.
910
..
-60
NS
2)
22
.
55mm
(0
.888
..
)
----------
t
----------.H--
-----.-
M
22
x0
.
75
Fig. 2.3. Physical dimensions
of
the
microphone.
8

ponding to a - 3
dB
cut-off frequency
of
3 Hz approximately. The time
constant may be increased, however, by inserting a thin wire in the capillary
tube. The diameter
of
the
hole
is
0.25
mm
(0.01
in). The physical dimensions
of
the microphone are shown in Fig.
2.3.
Caution
As even a
light
touch may damage the diaphragm
of
the
microphone no
cleaning
of
the diaphragm should
be
attempted. The
grid
is
an effective
protection against mechanical damage and should
not
be removed unless
special adjustment
of
the pressure equalization
is
required.
2.2. SENSITIVITY
Each microphone is individually calibrated and supplied with its own calibra-
tion chart (see Fig. 2.4). The calibration is carried out at 250 Hz with a load
capacitance of 100
pF.
Corrections have been made
for
the barometric
pressure so that the sensitivity is given at 760 mm Hg. The voltage sensitivity
is in the
order
of
0.3
mV/,ubar. .
~cooooooooooooooaoooooaooooooooo
........,.,.Hr.,M-Ht.llleludlftlaloMI
~of100P'
:
..
Q..
~
.t.e.
•VI,.tJM-
••
-.?.e.t
..
. ,.,v,
,._
~Gaf*
l
!J"'IIHI:
c- ....
.1:~
.......
" ·
c.Mit'-
..
Tell:
T
~
tu
..
..
l..f
....... •c
l
~c
P
...
eu
re
.7.1t(L
..
,Mrn
tto.
1\e!~W.Hum
ld
t
f)'
,,J.f..
•••••
'llo
D
ate
••
(.'?;.f:.~f.
.. Sl
11,..
tu
,.
••
/?.·
.
!!
.-
....•
..
....,....
,_.
e
OOifllolenl
:
~
-0
.
11
dB
tor
T
lO'Mop_...
..
~
.
--
bP""
~~-
--
10000-::.::
Fig. 2.4.
Typical
calibration
chart
as
supplied
with
each
microphone.
2.3.
CAPACITANCE
The capacitance of the microphone cartridge is given on the calibration chart.
Cartridge capacitance comes into
the
question when the
low
frequency cut-off
of
the measuring system is computed, as
it
determines the effect
of
loading
on the microphone. The nominal capacitance is 4 nF. Because
of
this high
capacitance
of
the microphone the input impedance
of
the
amplifier need
not be very large, e.g. a 2 MQ impedance gives a low frequency cut-off at
about
20Hz.
The
cartridge
capacitance is measured at 1000 Hz in a capacitance bridge,
comparing with a standard capacitance equal
to
the nominal capacitance
of
the microphone.
9

2.4.
CHARGE SENSITIVITY
This sensitivity can be calculated from the voltage sensitivity and the
equivalent capacitance
of
the microphone. Charge sensitivity
of
a microphone
is expressed in pico-coulomb/
,ubar and is independent
of
the capacitive
loading on the cartridge. It is determined by multiplying the voltage sensitivity
with the microphone capacitance.
Schorge
=
Svoltoge
X
Cmlcrophone
Since the voltage sensitivity is given
In
mV/,ubar and the capacitance in nF
the charge sensitivity will be in pC/,ubar.
2.5.
FREQUENCY RESPONSE
An individual frequency response curve Is attached to the calibration chart
supplied with each microphone. The free-field curve Is derived from the
pressure response curve recorded automatically by means
of
the electro-
static actuator method.
13
dB
10
5
0
-5
10
Free
fiel~
correctio~s
/
I--
for
Type
4117
LV
/v
/
v
l/v
/
oo
v v
vv
/ v
V/3o·
v
~
~
V
VV
'f\cfl.
60"
\'0<-'
6
~/
~
v /
co(1
~O_/•
~
~
/
/..:
.
.....
180"
··-1 J
..........
v.:.~
/
90~
··
.
-
~
...
......
······
~
...,Ji' <
...........
"
r-(·
..
~
~'
......
~
'\.
120"
................
-::
~
150"'
'~
-..c.
f----
r\
~\
~J
1L
~'),.
~
o•
Incidence
f----
"'b..
~
I I
1kHz
1.5
3 4 5 6 8 9
10
12
Fig.
2.5.
Free-field
correction
curves to be
added
to the pressure
characteristic
of
the
microphone
.

2.6.
FREE-FIELD CORRECTIONS
The pressure increase, which is caused by the reflections
of
free-field sound
waves on the microphone diaphragm, becomes appreciable above 1 kHz. The
corresponding correction curves are given in Fig.
2.5.
The frequency response
for
the various angles
of
incidence is obtained by adding the free-field
correction to the pressure response supplied with each cartridge. The
IEC
Recommendation Publication
123
gives a practical rule for calculation
of
the
sensitivity
for
a diffuse sound field (random incidence) from the free-field
sensitivities at definite angles (see page 6 for definition and formula). This
is used to calculate the random incidence correction curve given in Fig.
2.5
.
The random incidence response
of
the microphone is obtained by adding this
curve to the individual pressure response.
2.7. DIRECTIONAL CHARACTERISTICS
In
Fig.
2.6
are shown typical directional characteristics at various frequencies.
Fig. 2.6. Typical
directional
characteristics
of
the
piezoelectric
microphone.
2.8. DYNAMIC RANGE
The lower limit
of
the dynamic range is set by the inherent noise level of
the amplifier used with input loaded by the microphone capacitance. Used
with the B &K Sound Level Meter Type
2205
this limit is
32
dB SL for 5 dB
signal to noise ratio.
The upper limit
of
the dynamic range is set by the harmonic distortion in
the complete measuring system. The microphone itself will handle sound
pressure levels of up to
140
dB with less than 4
°/o
harmonic distortion.
11

2.9.
PHASE SHIFT
90° phase shift occurs at the resonance frequency of the ceramic bender and
diaphragm system. The resonance frequency is approximately
4.8
kHz for
Type
4117.
2.10. VOLUME CORRECTION
The volume correction is defined as the difference in effective volume between
a coupler coupled to the
4117
and the same coupler coupled to a standard
microphone front, see Fig.
2.7.
The correction is approximately 1 em' at
1 atm.
IJ
.---
Standard
~
Microphone
4117
Front
r/J
1S
.
6mm
Depth 1.95mm
p Coupler
Fig. 2.7. Volume
correction
for Type
4117.
2.11. TEMPERATURE CHARACTERISTICS
The microphone is calibrated at room temperature but it may be used in the
temperature range
-10
to + 70°C. Storing temperature is
-10
to + 90°C.
A typical temperature sensitivity curve is shown in Fig.
2.8.
dB
+1
+------+------~----~------~----~----~----~
~r------r------r------r----~-------r----~----~
Fig. 2.8. Typical temperature sensitivity curve.
2.12. INFLUENCE OF AMBIENT PRESSURE
The microphone sensitivity will vary less than
-0.15
dB
for
+ 10
°/o
variations
in ambient pressure. For larger changes in ambient pressure the frequency
response
of
the microphone will be modified, especially towards the higher
frequencies because
of
the change in mechanical damping. The frequency
response at different ambient pressures is given in Fig.
2.9.
12

-""'"'~
Pressure • •
frequency
d,rre;:r
at
ambient
pressures
...
...,
__
_
-
---
.,.,
__
_
,_._
___
,.,
~*"
1
-zs-aa==
W..S..--
.-
,_,..
__
_
..........,,...,....,
:-o
o
10
OP1123
10
10000
Fig. 2.9.
Influence
of
the
static
ambient
pressure
on the frequency response
of
Type 4117.
2.13. INFLUENCE OF HUMIDITY
A sudden
drop
in ambient temperature may in some cases cause moisture
condensation to take place between the diaphragm and the back plate, and
on the
ceramic
bender. The characteristics
of
the
microphone
may thereby
be changed
temporarily
in respect
of
sensitivity, frequency response and leak
resistance. The influence
of
relative
humidity
in the absence
of
condensation
is less than
0.1
dB.
Caution
The
Silica
Gel Cap UA 0135 should
not
be
used with the 4117 because
of
the
violent
pressure changes introduced
by
mounting and removing the cap.
2.14. INFLUENCE OF VIBRATIONS
When
the
microphone
is exposed to vibration
the
diaphragm and ceramic
bender
system
will
be
set
into motion.
This
will
introduce
an output voltage
as If
the
microphone
was exposed
to
a sound field. An acceleration
of
1 g
perpendicular
to
the
microphone
diaphragm
gives approximately
the
same
output
voltage as would a 100 dB sound pressure level.
2.15. INFLUENCE OF LOAD
The signal from
the
piezoelectric
microphone
appears as an alternating
voltage
across
a
capacitive
impedance. To
detect
this
voltage the microphone
is connected to an
amplifier
via
a cable. The loading
of
the
microphone
Is
hence composed
of
the
leak resistance and
capacitance
of
the
cable
and
the
input
impedance
of
the
amplifier. The equivalent
circuit
of
a microphone
with external loading is
drawn
in Fig. 2.10.
13

Microphone I Cable I
Am~
ifier
~
=r=cm
Rm
=~Cc
Rc
==c;
R;
Fig. 2.10. Equivalent
circuit
of
the microphone, cable
and
amplifier.
The internal resistance
Rm
of
the microphone is essentially infinite at room
temperature. Also the cable leak resistance R. is usually extremely high, and
therefore both
Rm
and R. can be neglected, giving a simplified diagram as
seen in Fig. 2.11.
c
Fig. 2.11.
Simplified
equivalent
circuit
for
normal
operating frequency range.
The following terms will be used during the considerations:
Q = cl:large induced across the microphone capacitive element (Coulomb).
Sq
= charge sensitivity
of
the microphone (Coulomb/bar).
P = sound pressure to which the microphone is subjected(bar).
s.
= voltage sensitivity
of
the microphone (V/bar).
C = total capacitance in the circuit, including microphone
(Cm),
cable (C.)
and amplifier
(C1)
(Farad).
R = 1/G, where G is the total conductance
In
the circuit, Including micro-
phone, cable and amplifier (R in Q).
The piezoelectric microphone is a charge generator, and the charge generated
is proportional to the sound pressure to which the microphone Is subjected.
Q
(co)
=
Sq
(co)
P =
S.
(co)
CmP
(1)
Assuming a sinusoidal sound pressure
of
angular frequency
co
the current
flowing in the
circuit
will be
I=
jcoQ
(2)
and the output voltage will be
E = 1/(G +
jcoC)
=
jwQI(G
+
jcoC)
(3)
This shows that when G <
/coC,
i.e. when the shunt resistance
In
the circuit
14

Is very high
or
at high frequencies the voltage depends only upon the
capacitive loading and the microphone sensitivity:
E =
jwQ/jwC
= Q/C (4)
It
Is also seen that the output is directly proportional to 1/C. This must be
taken Into account when long microphone cables are employed.
From equation
(3)
it
can also be seen that when G >jwC, i.e. for low
frequencies
or
low shunt resistance the output is frequency dependent:
E=~WG=~OO
00
This means that the output falls off at the same rate
as
the frequency at the
low frequency end.
The corner frequency where the output is 3 dB down Is where /G/ =
/jwC/
i.e. f. = 1/2:nRC
(6)
where f. Is called the
"cut-off
frequency".
The Internal resistance
of
the microphones is extremely high, always exceeding
10,000
MQ
at room temperature
(!::S120°C}.
The resistance
of
the piezoelectric
material is lower at high temperatures but usually still higher than
10,000
MQ
1.0
!.---"
-t-
/
~
~elative
input voltage
~
--
-f--·-
·-
to the amplifier
as
/
a function of frttquency
and
loading v
09
0.8
I
---
--
---
------
1--
---
--
- -
-f-
------
1----
---
--
--- -
-----
0.7
0.6
I
v
0.5
03
v
I R=amplifier resistance
I C=total capacitance
in
circuit (amplifier +
/ cable +microphone)
/
./
v
~
0.4
0.2
0.1
0.01
0.02
0.05
0.1
02
0.5
1
fRC
2
'611S'f
Fig. 2.12. Chart for finding
required
input
impedance when microphone
capacitance
and
low
frequency
cut-off
is given.
0
dB
-1
-2
-3
-4
-5
-6
15

at 70°C. This large resistance gives theoretically a
low
frequency cut-off value
at 0.004 Hz
for
the microphone alone
but
as the
time
constant
of
the pressure
equalization is 0.05 sec. the lower limiting frequency
of
the
microphone is
3 Hz as delivered. The
time
constant may be increased, however, by inserting
a thin wire in the capillary tube. The diameter
of
the hole is 0.25 mm
(0.01
In).
Fig. 2.12 gives a
chart
for
finding the required input resistance
for
a given
lower limiting frequency and a given microphone capacitance.
Example:
Find the required input impedance
for
a 1 dB
cut-off
at
10
Hz
using a
microphone with capacitance 4 nF.
Solution:
A 1
dB
cut-off is seen to give a value
of
about
0.3
for. fRC
fRC =
0.3
R = 0.3/fC =
0.3
/
(10
X 4 X
10
-9)
R =
7.5
MQ
The minimum acceptable input resistance
of
the
amplifle(
is
7.5
MQ.
2.16.
CABLE CAPACITANCE SENSITIVITY CORRECTION
The capacitance
of
a long cable connecting the microphone to the
amplifier
will reduce
the
voltage sensitivity
of
the microphone. For example a 5 m long
cable with a capacitance
of
90
pF/m will give a reduction in sensitivity
of
approximately
10
%. The reduced sensitivity can easily be found
if
the total
shunt capacitance in the input
circuit
is known, i.e.
microphone
capacitance,
cable capacitance and amplifier input capacitance. The new sensitivity Is
found from the formula:
where
Sv<cl
s.
Cm
+
0.1
Cc
c,
Example:
S _
Sv
(Cm
+
0.1)
v(c)
-
Cm
+
Cc
+ C,
= reduced voltage sensitivity.
= voltage sensitivity given on the calibration chart.
= microphone capacitance given on the calibration
+
0.1
nF used during the sensitivity calibration (nF).
= cable capacitance (nF).
=
amplifier
input capacitance (nF).
chart
A microphone has a sensitivity
of
0.310 mV/p,bar and a capacitance
of
3.4 nF. What is its sensitivity with a connection
cable
of
40
m length,
90
pF/m.
Amplifier
input capacitance negligible.
Solution:
Cable capacitance
Cc
= 40 X
90
= 3600 pF =
3.6
nF
S _
0.310
(3
.4 +
0.1)
= 0.310
7.x
0
3.5
= 0.
155
mV/ubar
v(
c) - 3.4 + 3.6 r
16

3.
Calibration
The sensitivity
of
the
microphone
is given on its
calibration
chart,
but
it
may
in many cases
be
very convenient
to
calibrate
the
whole
measuring set-up
right
from
the
microphone
to
the
indicating
instrument. To
do
this Bruel &
Kjer
has developed two calibrators,
the
Sound Level
Calibrator
Type 4230 and the
Pistonphone Type 4220.
3.1. SOUND LEVEL CALIBRATOR TYPE 4230
Fig. 3.1. The
Sound
Level
Calibrator
Type 4230.
The B & K Sound Level
Calibrator
Type 4230 creates a sound pressure level
of
94
dB
±
0.3
dB
at 1 kHz in the
coupler
volume and is a pocketsize, battery
powered
unit
for
field calibration of microphons. (See Fig. 3.1). The calibra-
tion
value obtained
for
all weighting networks (A; B,
C,
D and linear) is the
same, as these weighting scales have
the
same SPL values at 1 kHz. The
influence
of
static
pressure is very small, thus the calibration signal is
independent
of
barometric pressure and
altitude
for
ordinary
use.
A special
construction
of
the vibrating system makes the equivalent
coupler
volume more than 200 cm3
which
is
greater
than the total mechanical volume
of
the
unit
(125 cm3
).
In
practice
this
means the signal level is independent
of
the
microphone
type and the
accuracy
of
the connection to the calibrator.
Caution
Apply and remove the calibrator slowly
in
order
to
avoid damage
to
the
microphone diaphragm.
17

Specifications
4230
Calibration Frequency: 1000 Hz ± 2
°/o.
Calibration
Pressure Level:
94
± 0.3
dB
re 2 X 1
o-s
N/m2
(A,
B,
C,
D
or
Linear).
Equivalent Coupler
Volume: larger than
200
cm3•
Total Harmonic
Distortion: less than 1
°/o.
Temperature Range: -
10
to + 50°C.
Power Supply: single battery.
1 X 9
V.
I
EC
Recommendation 6 F
22,
size
25.5
X 17.5 X
48.5.
NEDA 1604.
Examples: Manufacturer IType
Union Carbide Ever Ready No.
216
or
222
Dimensions:
Microphone Types:
Hellesen Type H 10
Varta Pertrix No.
438
Tudor No.
9T4
National U-006 P
40.4
mm
(1.58
in) diameter,
96
mm
(3.78
In) length. .
1"
and 1/2".
3.2. PISTONPHONE TYPE
4220
Fig.
3.2.
Construction
of
the Pistonphone.
18
f66122
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